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@@ -593,3 +593,5 @@ wemm/compiler_compat/ld filter=lfs diff=lfs merge=lfs -text
 wemm/bin/sqlite3 filter=lfs diff=lfs merge=lfs -text
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+valley/lib/python3.10/site-packages/idna/__pycache__/uts46data.cpython-310.pyc filter=lfs diff=lfs merge=lfs -text
+wemm/lib/libtinfow.so.6.4 filter=lfs diff=lfs merge=lfs -text

valley/lib/python3.10/site-packages/idna/__pycache__/uts46data.cpython-310.pyc

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+version https://git-lfs.github.com/spec/v1
+oid sha256:09ba94d1818971569eb3f7bbcdb1ab531835882544f514eabe870533c6f4c441
+size 152344

valley/lib/python3.10/site-packages/networkx/algorithms/link_analysis/__init__.py

@@ -0,0 +1,2 @@
+from networkx.algorithms.link_analysis.hits_alg import *
+from networkx.algorithms.link_analysis.pagerank_alg import *

valley/lib/python3.10/site-packages/networkx/algorithms/link_analysis/hits_alg.py

@@ -0,0 +1,337 @@
+"""Hubs and authorities analysis of graph structure.
+"""
+import networkx as nx
+
+__all__ = ["hits"]
+
+
+@nx._dispatchable(preserve_edge_attrs={"G": {"weight": 1}})
+def hits(G, max_iter=100, tol=1.0e-8, nstart=None, normalized=True):
+    """Returns HITS hubs and authorities values for nodes.
+
+    The HITS algorithm computes two numbers for a node.
+    Authorities estimates the node value based on the incoming links.
+    Hubs estimates the node value based on outgoing links.
+
+    Parameters
+    ----------
+    G : graph
+      A NetworkX graph
+
+    max_iter : integer, optional
+      Maximum number of iterations in power method.
+
+    tol : float, optional
+      Error tolerance used to check convergence in power method iteration.
+
+    nstart : dictionary, optional
+      Starting value of each node for power method iteration.
+
+    normalized : bool (default=True)
+       Normalize results by the sum of all of the values.
+
+    Returns
+    -------
+    (hubs,authorities) : two-tuple of dictionaries
+       Two dictionaries keyed by node containing the hub and authority
+       values.
+
+    Raises
+    ------
+    PowerIterationFailedConvergence
+        If the algorithm fails to converge to the specified tolerance
+        within the specified number of iterations of the power iteration
+        method.
+
+    Examples
+    --------
+    >>> G = nx.path_graph(4)
+    >>> h, a = nx.hits(G)
+
+    Notes
+    -----
+    The eigenvector calculation is done by the power iteration method
+    and has no guarantee of convergence.  The iteration will stop
+    after max_iter iterations or an error tolerance of
+    number_of_nodes(G)*tol has been reached.
+
+    The HITS algorithm was designed for directed graphs but this
+    algorithm does not check if the input graph is directed and will
+    execute on undirected graphs.
+
+    References
+    ----------
+    .. [1] A. Langville and C. Meyer,
+       "A survey of eigenvector methods of web information retrieval."
+       http://citeseer.ist.psu.edu/713792.html
+    .. [2] Jon Kleinberg,
+       Authoritative sources in a hyperlinked environment
+       Journal of the ACM 46 (5): 604-32, 1999.
+       doi:10.1145/324133.324140.
+       http://www.cs.cornell.edu/home/kleinber/auth.pdf.
+    """
+    import numpy as np
+    import scipy as sp
+
+    if len(G) == 0:
+        return {}, {}
+    A = nx.adjacency_matrix(G, nodelist=list(G), dtype=float)
+
+    if nstart is not None:
+        nstart = np.array(list(nstart.values()))
+    if max_iter <= 0:
+        raise nx.PowerIterationFailedConvergence(max_iter)
+    try:
+        _, _, vt = sp.sparse.linalg.svds(A, k=1, v0=nstart, maxiter=max_iter, tol=tol)
+    except sp.sparse.linalg.ArpackNoConvergence as exc:
+        raise nx.PowerIterationFailedConvergence(max_iter) from exc
+
+    a = vt.flatten().real
+    h = A @ a
+    if normalized:
+        h /= h.sum()
+        a /= a.sum()
+    hubs = dict(zip(G, map(float, h)))
+    authorities = dict(zip(G, map(float, a)))
+    return hubs, authorities
+
+
+def _hits_python(G, max_iter=100, tol=1.0e-8, nstart=None, normalized=True):
+    if isinstance(G, nx.MultiGraph | nx.MultiDiGraph):
+        raise Exception("hits() not defined for graphs with multiedges.")
+    if len(G) == 0:
+        return {}, {}
+    # choose fixed starting vector if not given
+    if nstart is None:
+        h = dict.fromkeys(G, 1.0 / G.number_of_nodes())
+    else:
+        h = nstart
+        # normalize starting vector
+        s = 1.0 / sum(h.values())
+        for k in h:
+            h[k] *= s
+    for _ in range(max_iter):  # power iteration: make up to max_iter iterations
+        hlast = h
+        h = dict.fromkeys(hlast.keys(), 0)
+        a = dict.fromkeys(hlast.keys(), 0)
+        # this "matrix multiply" looks odd because it is
+        # doing a left multiply a^T=hlast^T*G
+        for n in h:
+            for nbr in G[n]:
+                a[nbr] += hlast[n] * G[n][nbr].get("weight", 1)
+        # now multiply h=Ga
+        for n in h:
+            for nbr in G[n]:
+                h[n] += a[nbr] * G[n][nbr].get("weight", 1)
+        # normalize vector
+        s = 1.0 / max(h.values())
+        for n in h:
+            h[n] *= s
+        # normalize vector
+        s = 1.0 / max(a.values())
+        for n in a:
+            a[n] *= s
+        # check convergence, l1 norm
+        err = sum(abs(h[n] - hlast[n]) for n in h)
+        if err < tol:
+            break
+    else:
+        raise nx.PowerIterationFailedConvergence(max_iter)
+    if normalized:
+        s = 1.0 / sum(a.values())
+        for n in a:
+            a[n] *= s
+        s = 1.0 / sum(h.values())
+        for n in h:
+            h[n] *= s
+    return h, a
+
+
+def _hits_numpy(G, normalized=True):
+    """Returns HITS hubs and authorities values for nodes.
+
+    The HITS algorithm computes two numbers for a node.
+    Authorities estimates the node value based on the incoming links.
+    Hubs estimates the node value based on outgoing links.
+
+    Parameters
+    ----------
+    G : graph
+      A NetworkX graph
+
+    normalized : bool (default=True)
+       Normalize results by the sum of all of the values.
+
+    Returns
+    -------
+    (hubs,authorities) : two-tuple of dictionaries
+       Two dictionaries keyed by node containing the hub and authority
+       values.
+
+    Examples
+    --------
+    >>> G = nx.path_graph(4)
+
+    The `hubs` and `authorities` are given by the eigenvectors corresponding to the
+    maximum eigenvalues of the hubs_matrix and the authority_matrix, respectively.
+
+    The ``hubs`` and ``authority`` matrices are computed from the adjacency
+    matrix:
+
+    >>> adj_ary = nx.to_numpy_array(G)
+    >>> hubs_matrix = adj_ary @ adj_ary.T
+    >>> authority_matrix = adj_ary.T @ adj_ary
+
+    `_hits_numpy` maps the eigenvector corresponding to the maximum eigenvalue
+    of the respective matrices to the nodes in `G`:
+
+    >>> from networkx.algorithms.link_analysis.hits_alg import _hits_numpy
+    >>> hubs, authority = _hits_numpy(G)
+
+    Notes
+    -----
+    The eigenvector calculation uses NumPy's interface to LAPACK.
+
+    The HITS algorithm was designed for directed graphs but this
+    algorithm does not check if the input graph is directed and will
+    execute on undirected graphs.
+
+    References
+    ----------
+    .. [1] A. Langville and C. Meyer,
+       "A survey of eigenvector methods of web information retrieval."
+       http://citeseer.ist.psu.edu/713792.html
+    .. [2] Jon Kleinberg,
+       Authoritative sources in a hyperlinked environment
+       Journal of the ACM 46 (5): 604-32, 1999.
+       doi:10.1145/324133.324140.
+       http://www.cs.cornell.edu/home/kleinber/auth.pdf.
+    """
+    import numpy as np
+
+    if len(G) == 0:
+        return {}, {}
+    adj_ary = nx.to_numpy_array(G)
+    # Hub matrix
+    H = adj_ary @ adj_ary.T
+    e, ev = np.linalg.eig(H)
+    h = ev[:, np.argmax(e)]  # eigenvector corresponding to the maximum eigenvalue
+    # Authority matrix
+    A = adj_ary.T @ adj_ary
+    e, ev = np.linalg.eig(A)
+    a = ev[:, np.argmax(e)]  # eigenvector corresponding to the maximum eigenvalue
+    if normalized:
+        h /= h.sum()
+        a /= a.sum()
+    else:
+        h /= h.max()
+        a /= a.max()
+    hubs = dict(zip(G, map(float, h)))
+    authorities = dict(zip(G, map(float, a)))
+    return hubs, authorities
+
+
+def _hits_scipy(G, max_iter=100, tol=1.0e-6, nstart=None, normalized=True):
+    """Returns HITS hubs and authorities values for nodes.
+
+
+    The HITS algorithm computes two numbers for a node.
+    Authorities estimates the node value based on the incoming links.
+    Hubs estimates the node value based on outgoing links.
+
+    Parameters
+    ----------
+    G : graph
+      A NetworkX graph
+
+    max_iter : integer, optional
+      Maximum number of iterations in power method.
+
+    tol : float, optional
+      Error tolerance used to check convergence in power method iteration.
+
+    nstart : dictionary, optional
+      Starting value of each node for power method iteration.
+
+    normalized : bool (default=True)
+       Normalize results by the sum of all of the values.
+
+    Returns
+    -------
+    (hubs,authorities) : two-tuple of dictionaries
+       Two dictionaries keyed by node containing the hub and authority
+       values.
+
+    Examples
+    --------
+    >>> from networkx.algorithms.link_analysis.hits_alg import _hits_scipy
+    >>> G = nx.path_graph(4)
+    >>> h, a = _hits_scipy(G)
+
+    Notes
+    -----
+    This implementation uses SciPy sparse matrices.
+
+    The eigenvector calculation is done by the power iteration method
+    and has no guarantee of convergence.  The iteration will stop
+    after max_iter iterations or an error tolerance of
+    number_of_nodes(G)*tol has been reached.
+
+    The HITS algorithm was designed for directed graphs but this
+    algorithm does not check if the input graph is directed and will
+    execute on undirected graphs.
+
+    Raises
+    ------
+    PowerIterationFailedConvergence
+        If the algorithm fails to converge to the specified tolerance
+        within the specified number of iterations of the power iteration
+        method.
+
+    References
+    ----------
+    .. [1] A. Langville and C. Meyer,
+       "A survey of eigenvector methods of web information retrieval."
+       http://citeseer.ist.psu.edu/713792.html
+    .. [2] Jon Kleinberg,
+       Authoritative sources in a hyperlinked environment
+       Journal of the ACM 46 (5): 604-632, 1999.
+       doi:10.1145/324133.324140.
+       http://www.cs.cornell.edu/home/kleinber/auth.pdf.
+    """
+    import numpy as np
+
+    if len(G) == 0:
+        return {}, {}
+    A = nx.to_scipy_sparse_array(G, nodelist=list(G))
+    (n, _) = A.shape  # should be square
+    ATA = A.T @ A  # authority matrix
+    # choose fixed starting vector if not given
+    if nstart is None:
+        x = np.ones((n, 1)) / n
+    else:
+        x = np.array([nstart.get(n, 0) for n in list(G)], dtype=float)
+        x /= x.sum()
+
+    # power iteration on authority matrix
+    i = 0
+    while True:
+        xlast = x
+        x = ATA @ x
+        x /= x.max()
+        # check convergence, l1 norm
+        err = np.absolute(x - xlast).sum()
+        if err < tol:
+            break
+        if i > max_iter:
+            raise nx.PowerIterationFailedConvergence(max_iter)
+        i += 1
+
+    a = x.flatten()
+    h = A @ a
+    if normalized:
+        h /= h.sum()
+        a /= a.sum()
+    hubs = dict(zip(G, map(float, h)))
+    authorities = dict(zip(G, map(float, a)))
+    return hubs, authorities

valley/lib/python3.10/site-packages/networkx/algorithms/link_analysis/pagerank_alg.py

@@ -0,0 +1,499 @@
+"""PageRank analysis of graph structure. """
+from warnings import warn
+
+import networkx as nx
+
+__all__ = ["pagerank", "google_matrix"]
+
+
+@nx._dispatchable(edge_attrs="weight")
+def pagerank(
+    G,
+    alpha=0.85,
+    personalization=None,
+    max_iter=100,
+    tol=1.0e-6,
+    nstart=None,
+    weight="weight",
+    dangling=None,
+):
+    """Returns the PageRank of the nodes in the graph.
+
+    PageRank computes a ranking of the nodes in the graph G based on
+    the structure of the incoming links. It was originally designed as
+    an algorithm to rank web pages.
+
+    Parameters
+    ----------
+    G : graph
+      A NetworkX graph.  Undirected graphs will be converted to a directed
+      graph with two directed edges for each undirected edge.
+
+    alpha : float, optional
+      Damping parameter for PageRank, default=0.85.
+
+    personalization: dict, optional
+      The "personalization vector" consisting of a dictionary with a
+      key some subset of graph nodes and personalization value each of those.
+      At least one personalization value must be non-zero.
+      If not specified, a nodes personalization value will be zero.
+      By default, a uniform distribution is used.
+
+    max_iter : integer, optional
+      Maximum number of iterations in power method eigenvalue solver.
+
+    tol : float, optional
+      Error tolerance used to check convergence in power method solver.
+      The iteration will stop after a tolerance of ``len(G) * tol`` is reached.
+
+    nstart : dictionary, optional
+      Starting value of PageRank iteration for each node.
+
+    weight : key, optional
+      Edge data key to use as weight.  If None weights are set to 1.
+
+    dangling: dict, optional
+      The outedges to be assigned to any "dangling" nodes, i.e., nodes without
+      any outedges. The dict key is the node the outedge points to and the dict
+      value is the weight of that outedge. By default, dangling nodes are given
+      outedges according to the personalization vector (uniform if not
+      specified). This must be selected to result in an irreducible transition
+      matrix (see notes under google_matrix). It may be common to have the
+      dangling dict to be the same as the personalization dict.
+
+
+    Returns
+    -------
+    pagerank : dictionary
+       Dictionary of nodes with PageRank as value
+
+    Examples
+    --------
+    >>> G = nx.DiGraph(nx.path_graph(4))
+    >>> pr = nx.pagerank(G, alpha=0.9)
+
+    Notes
+    -----
+    The eigenvector calculation is done by the power iteration method
+    and has no guarantee of convergence.  The iteration will stop after
+    an error tolerance of ``len(G) * tol`` has been reached. If the
+    number of iterations exceed `max_iter`, a
+    :exc:`networkx.exception.PowerIterationFailedConvergence` exception
+    is raised.
+
+    The PageRank algorithm was designed for directed graphs but this
+    algorithm does not check if the input graph is directed and will
+    execute on undirected graphs by converting each edge in the
+    directed graph to two edges.
+
+    See Also
+    --------
+    google_matrix
+
+    Raises
+    ------
+    PowerIterationFailedConvergence
+        If the algorithm fails to converge to the specified tolerance
+        within the specified number of iterations of the power iteration
+        method.
+
+    References
+    ----------
+    .. [1] A. Langville and C. Meyer,
+       "A survey of eigenvector methods of web information retrieval."
+       http://citeseer.ist.psu.edu/713792.html
+    .. [2] Page, Lawrence; Brin, Sergey; Motwani, Rajeev and Winograd, Terry,
+       The PageRank citation ranking: Bringing order to the Web. 1999
+       http://dbpubs.stanford.edu:8090/pub/showDoc.Fulltext?lang=en&doc=1999-66&format=pdf
+
+    """
+    return _pagerank_scipy(
+        G, alpha, personalization, max_iter, tol, nstart, weight, dangling
+    )
+
+
+def _pagerank_python(
+    G,
+    alpha=0.85,
+    personalization=None,
+    max_iter=100,
+    tol=1.0e-6,
+    nstart=None,
+    weight="weight",
+    dangling=None,
+):
+    if len(G) == 0:
+        return {}
+
+    D = G.to_directed()
+
+    # Create a copy in (right) stochastic form
+    W = nx.stochastic_graph(D, weight=weight)
+    N = W.number_of_nodes()
+
+    # Choose fixed starting vector if not given
+    if nstart is None:
+        x = dict.fromkeys(W, 1.0 / N)
+    else:
+        # Normalized nstart vector
+        s = sum(nstart.values())
+        x = {k: v / s for k, v in nstart.items()}
+
+    if personalization is None:
+        # Assign uniform personalization vector if not given
+        p = dict.fromkeys(W, 1.0 / N)
+    else:
+        s = sum(personalization.values())
+        p = {k: v / s for k, v in personalization.items()}
+
+    if dangling is None:
+        # Use personalization vector if dangling vector not specified
+        dangling_weights = p
+    else:
+        s = sum(dangling.values())
+        dangling_weights = {k: v / s for k, v in dangling.items()}
+    dangling_nodes = [n for n in W if W.out_degree(n, weight=weight) == 0.0]
+
+    # power iteration: make up to max_iter iterations
+    for _ in range(max_iter):
+        xlast = x
+        x = dict.fromkeys(xlast.keys(), 0)
+        danglesum = alpha * sum(xlast[n] for n in dangling_nodes)
+        for n in x:
+            # this matrix multiply looks odd because it is
+            # doing a left multiply x^T=xlast^T*W
+            for _, nbr, wt in W.edges(n, data=weight):
+                x[nbr] += alpha * xlast[n] * wt
+            x[n] += danglesum * dangling_weights.get(n, 0) + (1.0 - alpha) * p.get(n, 0)
+        # check convergence, l1 norm
+        err = sum(abs(x[n] - xlast[n]) for n in x)
+        if err < N * tol:
+            return x
+    raise nx.PowerIterationFailedConvergence(max_iter)
+
+
+@nx._dispatchable(edge_attrs="weight")
+def google_matrix(
+    G, alpha=0.85, personalization=None, nodelist=None, weight="weight", dangling=None
+):
+    """Returns the Google matrix of the graph.
+
+    Parameters
+    ----------
+    G : graph
+      A NetworkX graph.  Undirected graphs will be converted to a directed
+      graph with two directed edges for each undirected edge.
+
+    alpha : float
+      The damping factor.
+
+    personalization: dict, optional
+      The "personalization vector" consisting of a dictionary with a
+      key some subset of graph nodes and personalization value each of those.
+      At least one personalization value must be non-zero.
+      If not specified, a nodes personalization value will be zero.
+      By default, a uniform distribution is used.
+
+    nodelist : list, optional
+      The rows and columns are ordered according to the nodes in nodelist.
+      If nodelist is None, then the ordering is produced by G.nodes().
+
+    weight : key, optional
+      Edge data key to use as weight.  If None weights are set to 1.
+
+    dangling: dict, optional
+      The outedges to be assigned to any "dangling" nodes, i.e., nodes without
+      any outedges. The dict key is the node the outedge points to and the dict
+      value is the weight of that outedge. By default, dangling nodes are given
+      outedges according to the personalization vector (uniform if not
+      specified) This must be selected to result in an irreducible transition
+      matrix (see notes below). It may be common to have the dangling dict to
+      be the same as the personalization dict.
+
+    Returns
+    -------
+    A : 2D NumPy ndarray
+       Google matrix of the graph
+
+    Notes
+    -----
+    The array returned represents the transition matrix that describes the
+    Markov chain used in PageRank. For PageRank to converge to a unique
+    solution (i.e., a unique stationary distribution in a Markov chain), the
+    transition matrix must be irreducible. In other words, it must be that
+    there exists a path between every pair of nodes in the graph, or else there
+    is the potential of "rank sinks."
+
+    This implementation works with Multi(Di)Graphs. For multigraphs the
+    weight between two nodes is set to be the sum of all edge weights
+    between those nodes.
+
+    See Also
+    --------
+    pagerank
+    """
+    import numpy as np
+
+    if nodelist is None:
+        nodelist = list(G)
+
+    A = nx.to_numpy_array(G, nodelist=nodelist, weight=weight)
+    N = len(G)
+    if N == 0:
+        return A
+
+    # Personalization vector
+    if personalization is None:
+        p = np.repeat(1.0 / N, N)
+    else:
+        p = np.array([personalization.get(n, 0) for n in nodelist], dtype=float)
+        if p.sum() == 0:
+            raise ZeroDivisionError
+        p /= p.sum()
+
+    # Dangling nodes
+    if dangling is None:
+        dangling_weights = p
+    else:
+        # Convert the dangling dictionary into an array in nodelist order
+        dangling_weights = np.array([dangling.get(n, 0) for n in nodelist], dtype=float)
+        dangling_weights /= dangling_weights.sum()
+    dangling_nodes = np.where(A.sum(axis=1) == 0)[0]
+
+    # Assign dangling_weights to any dangling nodes (nodes with no out links)
+    A[dangling_nodes] = dangling_weights
+
+    A /= A.sum(axis=1)[:, np.newaxis]  # Normalize rows to sum to 1
+
+    return alpha * A + (1 - alpha) * p
+
+
+def _pagerank_numpy(
+    G, alpha=0.85, personalization=None, weight="weight", dangling=None
+):
+    """Returns the PageRank of the nodes in the graph.
+
+    PageRank computes a ranking of the nodes in the graph G based on
+    the structure of the incoming links. It was originally designed as
+    an algorithm to rank web pages.
+
+    Parameters
+    ----------
+    G : graph
+      A NetworkX graph.  Undirected graphs will be converted to a directed
+      graph with two directed edges for each undirected edge.
+
+    alpha : float, optional
+      Damping parameter for PageRank, default=0.85.
+
+    personalization: dict, optional
+      The "personalization vector" consisting of a dictionary with a
+      key some subset of graph nodes and personalization value each of those.
+      At least one personalization value must be non-zero.
+      If not specified, a nodes personalization value will be zero.
+      By default, a uniform distribution is used.
+
+    weight : key, optional
+      Edge data key to use as weight.  If None weights are set to 1.
+
+    dangling: dict, optional
+      The outedges to be assigned to any "dangling" nodes, i.e., nodes without
+      any outedges. The dict key is the node the outedge points to and the dict
+      value is the weight of that outedge. By default, dangling nodes are given
+      outedges according to the personalization vector (uniform if not
+      specified) This must be selected to result in an irreducible transition
+      matrix (see notes under google_matrix). It may be common to have the
+      dangling dict to be the same as the personalization dict.
+
+    Returns
+    -------
+    pagerank : dictionary
+       Dictionary of nodes with PageRank as value.
+
+    Examples
+    --------
+    >>> from networkx.algorithms.link_analysis.pagerank_alg import _pagerank_numpy
+    >>> G = nx.DiGraph(nx.path_graph(4))
+    >>> pr = _pagerank_numpy(G, alpha=0.9)
+
+    Notes
+    -----
+    The eigenvector calculation uses NumPy's interface to the LAPACK
+    eigenvalue solvers.  This will be the fastest and most accurate
+    for small graphs.
+
+    This implementation works with Multi(Di)Graphs. For multigraphs the
+    weight between two nodes is set to be the sum of all edge weights
+    between those nodes.
+
+    See Also
+    --------
+    pagerank, google_matrix
+
+    References
+    ----------
+    .. [1] A. Langville and C. Meyer,
+       "A survey of eigenvector methods of web information retrieval."
+       http://citeseer.ist.psu.edu/713792.html
+    .. [2] Page, Lawrence; Brin, Sergey; Motwani, Rajeev and Winograd, Terry,
+       The PageRank citation ranking: Bringing order to the Web. 1999
+       http://dbpubs.stanford.edu:8090/pub/showDoc.Fulltext?lang=en&doc=1999-66&format=pdf
+    """
+    import numpy as np
+
+    if len(G) == 0:
+        return {}
+    M = google_matrix(
+        G, alpha, personalization=personalization, weight=weight, dangling=dangling
+    )
+    # use numpy LAPACK solver
+    eigenvalues, eigenvectors = np.linalg.eig(M.T)
+    ind = np.argmax(eigenvalues)
+    # eigenvector of largest eigenvalue is at ind, normalized
+    largest = np.array(eigenvectors[:, ind]).flatten().real
+    norm = largest.sum()
+    return dict(zip(G, map(float, largest / norm)))
+
+
+def _pagerank_scipy(
+    G,
+    alpha=0.85,
+    personalization=None,
+    max_iter=100,
+    tol=1.0e-6,
+    nstart=None,
+    weight="weight",
+    dangling=None,
+):
+    """Returns the PageRank of the nodes in the graph.
+
+    PageRank computes a ranking of the nodes in the graph G based on
+    the structure of the incoming links. It was originally designed as
+    an algorithm to rank web pages.
+
+    Parameters
+    ----------
+    G : graph
+      A NetworkX graph.  Undirected graphs will be converted to a directed
+      graph with two directed edges for each undirected edge.
+
+    alpha : float, optional
+      Damping parameter for PageRank, default=0.85.
+
+    personalization: dict, optional
+      The "personalization vector" consisting of a dictionary with a
+      key some subset of graph nodes and personalization value each of those.
+      At least one personalization value must be non-zero.
+      If not specified, a nodes personalization value will be zero.
+      By default, a uniform distribution is used.
+
+    max_iter : integer, optional
+      Maximum number of iterations in power method eigenvalue solver.
+
+    tol : float, optional
+      Error tolerance used to check convergence in power method solver.
+      The iteration will stop after a tolerance of ``len(G) * tol`` is reached.
+
+    nstart : dictionary, optional
+      Starting value of PageRank iteration for each node.
+
+    weight : key, optional
+      Edge data key to use as weight.  If None weights are set to 1.
+
+    dangling: dict, optional
+      The outedges to be assigned to any "dangling" nodes, i.e., nodes without
+      any outedges. The dict key is the node the outedge points to and the dict
+      value is the weight of that outedge. By default, dangling nodes are given
+      outedges according to the personalization vector (uniform if not
+      specified) This must be selected to result in an irreducible transition
+      matrix (see notes under google_matrix). It may be common to have the
+      dangling dict to be the same as the personalization dict.
+
+    Returns
+    -------
+    pagerank : dictionary
+       Dictionary of nodes with PageRank as value
+
+    Examples
+    --------
+    >>> from networkx.algorithms.link_analysis.pagerank_alg import _pagerank_scipy
+    >>> G = nx.DiGraph(nx.path_graph(4))
+    >>> pr = _pagerank_scipy(G, alpha=0.9)
+
+    Notes
+    -----
+    The eigenvector calculation uses power iteration with a SciPy
+    sparse matrix representation.
+
+    This implementation works with Multi(Di)Graphs. For multigraphs the
+    weight between two nodes is set to be the sum of all edge weights
+    between those nodes.
+
+    See Also
+    --------
+    pagerank
+
+    Raises
+    ------
+    PowerIterationFailedConvergence
+        If the algorithm fails to converge to the specified tolerance
+        within the specified number of iterations of the power iteration
+        method.
+
+    References
+    ----------
+    .. [1] A. Langville and C. Meyer,
+       "A survey of eigenvector methods of web information retrieval."
+       http://citeseer.ist.psu.edu/713792.html
+    .. [2] Page, Lawrence; Brin, Sergey; Motwani, Rajeev and Winograd, Terry,
+       The PageRank citation ranking: Bringing order to the Web. 1999
+       http://dbpubs.stanford.edu:8090/pub/showDoc.Fulltext?lang=en&doc=1999-66&format=pdf
+    """
+    import numpy as np
+    import scipy as sp
+
+    N = len(G)
+    if N == 0:
+        return {}
+
+    nodelist = list(G)
+    A = nx.to_scipy_sparse_array(G, nodelist=nodelist, weight=weight, dtype=float)
+    S = A.sum(axis=1)
+    S[S != 0] = 1.0 / S[S != 0]
+    # TODO: csr_array
+    Q = sp.sparse.csr_array(sp.sparse.spdiags(S.T, 0, *A.shape))
+    A = Q @ A
+
+    # initial vector
+    if nstart is None:
+        x = np.repeat(1.0 / N, N)
+    else:
+        x = np.array([nstart.get(n, 0) for n in nodelist], dtype=float)
+        x /= x.sum()
+
+    # Personalization vector
+    if personalization is None:
+        p = np.repeat(1.0 / N, N)
+    else:
+        p = np.array([personalization.get(n, 0) for n in nodelist], dtype=float)
+        if p.sum() == 0:
+            raise ZeroDivisionError
+        p /= p.sum()
+    # Dangling nodes
+    if dangling is None:
+        dangling_weights = p
+    else:
+        # Convert the dangling dictionary into an array in nodelist order
+        dangling_weights = np.array([dangling.get(n, 0) for n in nodelist], dtype=float)
+        dangling_weights /= dangling_weights.sum()
+    is_dangling = np.where(S == 0)[0]
+
+    # power iteration: make up to max_iter iterations
+    for _ in range(max_iter):
+        xlast = x
+        x = alpha * (x @ A + sum(x[is_dangling]) * dangling_weights) + (1 - alpha) * p
+        # check convergence, l1 norm
+        err = np.absolute(x - xlast).sum()
+        if err < N * tol:
+            return dict(zip(nodelist, map(float, x)))
+    raise nx.PowerIterationFailedConvergence(max_iter)

valley/lib/python3.10/site-packages/networkx/algorithms/link_analysis/tests/test_hits.py

@@ -0,0 +1,78 @@
+import pytest
+
+import networkx as nx
+
+np = pytest.importorskip("numpy")
+sp = pytest.importorskip("scipy")
+
+from networkx.algorithms.link_analysis.hits_alg import (
+    _hits_numpy,
+    _hits_python,
+    _hits_scipy,
+)
+
+# Example from
+# A. Langville and C. Meyer, "A survey of eigenvector methods of web
+# information retrieval."  http://citeseer.ist.psu.edu/713792.html
+
+
+class TestHITS:
+    @classmethod
+    def setup_class(cls):
+        G = nx.DiGraph()
+
+        edges = [(1, 3), (1, 5), (2, 1), (3, 5), (5, 4), (5, 3), (6, 5)]
+
+        G.add_edges_from(edges, weight=1)
+        cls.G = G
+        cls.G.a = dict(
+            zip(sorted(G), [0.000000, 0.000000, 0.366025, 0.133975, 0.500000, 0.000000])
+        )
+        cls.G.h = dict(
+            zip(sorted(G), [0.366025, 0.000000, 0.211325, 0.000000, 0.211325, 0.211325])
+        )
+
+    def test_hits_numpy(self):
+        G = self.G
+        h, a = _hits_numpy(G)
+        for n in G:
+            assert h[n] == pytest.approx(G.h[n], abs=1e-4)
+        for n in G:
+            assert a[n] == pytest.approx(G.a[n], abs=1e-4)
+
+    @pytest.mark.parametrize("hits_alg", (nx.hits, _hits_python, _hits_scipy))
+    def test_hits(self, hits_alg):
+        G = self.G
+        h, a = hits_alg(G, tol=1.0e-08)
+        for n in G:
+            assert h[n] == pytest.approx(G.h[n], abs=1e-4)
+        for n in G:
+            assert a[n] == pytest.approx(G.a[n], abs=1e-4)
+        nstart = {i: 1.0 / 2 for i in G}
+        h, a = hits_alg(G, nstart=nstart)
+        for n in G:
+            assert h[n] == pytest.approx(G.h[n], abs=1e-4)
+        for n in G:
+            assert a[n] == pytest.approx(G.a[n], abs=1e-4)
+
+    def test_empty(self):
+        G = nx.Graph()
+        assert nx.hits(G) == ({}, {})
+        assert _hits_numpy(G) == ({}, {})
+        assert _hits_python(G) == ({}, {})
+        assert _hits_scipy(G) == ({}, {})
+
+    def test_hits_not_convergent(self):
+        G = nx.path_graph(50)
+        with pytest.raises(nx.PowerIterationFailedConvergence):
+            _hits_scipy(G, max_iter=1)
+        with pytest.raises(nx.PowerIterationFailedConvergence):
+            _hits_python(G, max_iter=1)
+        with pytest.raises(nx.PowerIterationFailedConvergence):
+            _hits_scipy(G, max_iter=0)
+        with pytest.raises(nx.PowerIterationFailedConvergence):
+            _hits_python(G, max_iter=0)
+        with pytest.raises(nx.PowerIterationFailedConvergence):
+            nx.hits(G, max_iter=0)
+        with pytest.raises(nx.PowerIterationFailedConvergence):
+            nx.hits(G, max_iter=1)

valley/lib/python3.10/site-packages/networkx/algorithms/link_analysis/tests/test_pagerank.py

@@ -0,0 +1,217 @@
+import random
+
+import pytest
+
+import networkx as nx
+from networkx.classes.tests import dispatch_interface
+
+np = pytest.importorskip("numpy")
+pytest.importorskip("scipy")
+
+from networkx.algorithms.link_analysis.pagerank_alg import (
+    _pagerank_numpy,
+    _pagerank_python,
+    _pagerank_scipy,
+)
+
+# Example from
+# A. Langville and C. Meyer, "A survey of eigenvector methods of web
+# information retrieval."  http://citeseer.ist.psu.edu/713792.html
+
+
+class TestPageRank:
+    @classmethod
+    def setup_class(cls):
+        G = nx.DiGraph()
+        edges = [
+            (1, 2),
+            (1, 3),
+            # 2 is a dangling node
+            (3, 1),
+            (3, 2),
+            (3, 5),
+            (4, 5),
+            (4, 6),
+            (5, 4),
+            (5, 6),
+            (6, 4),
+        ]
+        G.add_edges_from(edges)
+        cls.G = G
+        cls.G.pagerank = dict(
+            zip(
+                sorted(G),
+                [
+                    0.03721197,
+                    0.05395735,
+                    0.04150565,
+                    0.37508082,
+                    0.20599833,
+                    0.28624589,
+                ],
+            )
+        )
+        cls.dangling_node_index = 1
+        cls.dangling_edges = {1: 2, 2: 3, 3: 0, 4: 0, 5: 0, 6: 0}
+        cls.G.dangling_pagerank = dict(
+            zip(
+                sorted(G),
+                [0.10844518, 0.18618601, 0.0710892, 0.2683668, 0.15919783, 0.20671497],
+            )
+        )
+
+    @pytest.mark.parametrize("alg", (nx.pagerank, _pagerank_python))
+    def test_pagerank(self, alg):
+        G = self.G
+        p = alg(G, alpha=0.9, tol=1.0e-08)
+        for n in G:
+            assert p[n] == pytest.approx(G.pagerank[n], abs=1e-4)
+
+        nstart = {n: random.random() for n in G}
+        p = alg(G, alpha=0.9, tol=1.0e-08, nstart=nstart)
+        for n in G:
+            assert p[n] == pytest.approx(G.pagerank[n], abs=1e-4)
+
+    @pytest.mark.parametrize("alg", (nx.pagerank, _pagerank_python))
+    def test_pagerank_max_iter(self, alg):
+        with pytest.raises(nx.PowerIterationFailedConvergence):
+            alg(self.G, max_iter=0)
+
+    def test_numpy_pagerank(self):
+        G = self.G
+        p = _pagerank_numpy(G, alpha=0.9)
+        for n in G:
+            assert p[n] == pytest.approx(G.pagerank[n], abs=1e-4)
+
+    # This additionally tests the @nx._dispatchable mechanism, treating
+    # nx.google_matrix as if it were a re-implementation from another package
+    @pytest.mark.parametrize("wrapper", [lambda x: x, dispatch_interface.convert])
+    def test_google_matrix(self, wrapper):
+        G = wrapper(self.G)
+        M = nx.google_matrix(G, alpha=0.9, nodelist=sorted(G))
+        _, ev = np.linalg.eig(M.T)
+        p = ev[:, 0] / ev[:, 0].sum()
+        for a, b in zip(p, self.G.pagerank.values()):
+            assert a == pytest.approx(b, abs=1e-7)
+
+    @pytest.mark.parametrize("alg", (nx.pagerank, _pagerank_python, _pagerank_numpy))
+    def test_personalization(self, alg):
+        G = nx.complete_graph(4)
+        personalize = {0: 1, 1: 1, 2: 4, 3: 4}
+        answer = {
+            0: 0.23246732615667579,
+            1: 0.23246732615667579,
+            2: 0.267532673843324,
+            3: 0.2675326738433241,
+        }
+        p = alg(G, alpha=0.85, personalization=personalize)
+        for n in G:
+            assert p[n] == pytest.approx(answer[n], abs=1e-4)
+
+    @pytest.mark.parametrize("alg", (nx.pagerank, _pagerank_python, nx.google_matrix))
+    def test_zero_personalization_vector(self, alg):
+        G = nx.complete_graph(4)
+        personalize = {0: 0, 1: 0, 2: 0, 3: 0}
+        pytest.raises(ZeroDivisionError, alg, G, personalization=personalize)
+
+    @pytest.mark.parametrize("alg", (nx.pagerank, _pagerank_python))
+    def test_one_nonzero_personalization_value(self, alg):
+        G = nx.complete_graph(4)
+        personalize = {0: 0, 1: 0, 2: 0, 3: 1}
+        answer = {
+            0: 0.22077931820379187,
+            1: 0.22077931820379187,
+            2: 0.22077931820379187,
+            3: 0.3376620453886241,
+        }
+        p = alg(G, alpha=0.85, personalization=personalize)
+        for n in G:
+            assert p[n] == pytest.approx(answer[n], abs=1e-4)
+
+    @pytest.mark.parametrize("alg", (nx.pagerank, _pagerank_python))
+    def test_incomplete_personalization(self, alg):
+        G = nx.complete_graph(4)
+        personalize = {3: 1}
+        answer = {
+            0: 0.22077931820379187,
+            1: 0.22077931820379187,
+            2: 0.22077931820379187,
+            3: 0.3376620453886241,
+        }
+        p = alg(G, alpha=0.85, personalization=personalize)
+        for n in G:
+            assert p[n] == pytest.approx(answer[n], abs=1e-4)
+
+    def test_dangling_matrix(self):
+        """
+        Tests that the google_matrix doesn't change except for the dangling
+        nodes.
+        """
+        G = self.G
+        dangling = self.dangling_edges
+        dangling_sum = sum(dangling.values())
+        M1 = nx.google_matrix(G, personalization=dangling)
+        M2 = nx.google_matrix(G, personalization=dangling, dangling=dangling)
+        for i in range(len(G)):
+            for j in range(len(G)):
+                if i == self.dangling_node_index and (j + 1) in dangling:
+                    assert M2[i, j] == pytest.approx(
+                        dangling[j + 1] / dangling_sum, abs=1e-4
+                    )
+                else:
+                    assert M2[i, j] == pytest.approx(M1[i, j], abs=1e-4)
+
+    @pytest.mark.parametrize("alg", (nx.pagerank, _pagerank_python, _pagerank_numpy))
+    def test_dangling_pagerank(self, alg):
+        pr = alg(self.G, dangling=self.dangling_edges)
+        for n in self.G:
+            assert pr[n] == pytest.approx(self.G.dangling_pagerank[n], abs=1e-4)
+
+    def test_empty(self):
+        G = nx.Graph()
+        assert nx.pagerank(G) == {}
+        assert _pagerank_python(G) == {}
+        assert _pagerank_numpy(G) == {}
+        assert nx.google_matrix(G).shape == (0, 0)
+
+    @pytest.mark.parametrize("alg", (nx.pagerank, _pagerank_python))
+    def test_multigraph(self, alg):
+        G = nx.MultiGraph()
+        G.add_edges_from([(1, 2), (1, 2), (1, 2), (2, 3), (2, 3), ("3", 3), ("3", 3)])
+        answer = {
+            1: 0.21066048614468322,
+            2: 0.3395308825985378,
+            3: 0.28933951385531687,
+            "3": 0.16046911740146227,
+        }
+        p = alg(G)
+        for n in G:
+            assert p[n] == pytest.approx(answer[n], abs=1e-4)
+
+
+class TestPageRankScipy(TestPageRank):
+    def test_scipy_pagerank(self):
+        G = self.G
+        p = _pagerank_scipy(G, alpha=0.9, tol=1.0e-08)
+        for n in G:
+            assert p[n] == pytest.approx(G.pagerank[n], abs=1e-4)
+        personalize = {n: random.random() for n in G}
+        p = _pagerank_scipy(G, alpha=0.9, tol=1.0e-08, personalization=personalize)
+
+        nstart = {n: random.random() for n in G}
+        p = _pagerank_scipy(G, alpha=0.9, tol=1.0e-08, nstart=nstart)
+        for n in G:
+            assert p[n] == pytest.approx(G.pagerank[n], abs=1e-4)
+
+    def test_scipy_pagerank_max_iter(self):
+        with pytest.raises(nx.PowerIterationFailedConvergence):
+            _pagerank_scipy(self.G, max_iter=0)
+
+    def test_dangling_scipy_pagerank(self):
+        pr = _pagerank_scipy(self.G, dangling=self.dangling_edges)
+        for n in self.G:
+            assert pr[n] == pytest.approx(self.G.dangling_pagerank[n], abs=1e-4)
+
+    def test_empty_scipy(self):
+        G = nx.Graph()
+        assert _pagerank_scipy(G) == {}

valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_asteroidal.py

@@ -0,0 +1,23 @@
+import networkx as nx
+
+
+def test_is_at_free():
+    is_at_free = nx.asteroidal.is_at_free
+
+    cycle = nx.cycle_graph(6)
+    assert not is_at_free(cycle)
+
+    path = nx.path_graph(6)
+    assert is_at_free(path)
+
+    small_graph = nx.complete_graph(2)
+    assert is_at_free(small_graph)
+
+    petersen = nx.petersen_graph()
+    assert not is_at_free(petersen)
+
+    clique = nx.complete_graph(6)
+    assert is_at_free(clique)
+
+    line_clique = nx.line_graph(clique)
+    assert not is_at_free(line_clique)

valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_boundary.py

@@ -0,0 +1,154 @@
+"""Unit tests for the :mod:`networkx.algorithms.boundary` module."""
+
+from itertools import combinations
+
+import pytest
+
+import networkx as nx
+from networkx import convert_node_labels_to_integers as cnlti
+from networkx.utils import edges_equal
+
+
+class TestNodeBoundary:
+    """Unit tests for the :func:`~networkx.node_boundary` function."""
+
+    def test_null_graph(self):
+        """Tests that the null graph has empty node boundaries."""
+        null = nx.null_graph()
+        assert nx.node_boundary(null, []) == set()
+        assert nx.node_boundary(null, [], []) == set()
+        assert nx.node_boundary(null, [1, 2, 3]) == set()
+        assert nx.node_boundary(null, [1, 2, 3], [4, 5, 6]) == set()
+        assert nx.node_boundary(null, [1, 2, 3], [3, 4, 5]) == set()
+
+    def test_path_graph(self):
+        P10 = cnlti(nx.path_graph(10), first_label=1)
+        assert nx.node_boundary(P10, []) == set()
+        assert nx.node_boundary(P10, [], []) == set()
+        assert nx.node_boundary(P10, [1, 2, 3]) == {4}
+        assert nx.node_boundary(P10, [4, 5, 6]) == {3, 7}
+        assert nx.node_boundary(P10, [3, 4, 5, 6, 7]) == {2, 8}
+        assert nx.node_boundary(P10, [8, 9, 10]) == {7}
+        assert nx.node_boundary(P10, [4, 5, 6], [9, 10]) == set()
+
+    def test_complete_graph(self):
+        K10 = cnlti(nx.complete_graph(10), first_label=1)
+        assert nx.node_boundary(K10, []) == set()
+        assert nx.node_boundary(K10, [], []) == set()
+        assert nx.node_boundary(K10, [1, 2, 3]) == {4, 5, 6, 7, 8, 9, 10}
+        assert nx.node_boundary(K10, [4, 5, 6]) == {1, 2, 3, 7, 8, 9, 10}
+        assert nx.node_boundary(K10, [3, 4, 5, 6, 7]) == {1, 2, 8, 9, 10}
+        assert nx.node_boundary(K10, [4, 5, 6], []) == set()
+        assert nx.node_boundary(K10, K10) == set()
+        assert nx.node_boundary(K10, [1, 2, 3], [3, 4, 5]) == {4, 5}
+
+    def test_petersen(self):
+        """Check boundaries in the petersen graph
+
+        cheeger(G,k)=min(|bdy(S)|/|S| for |S|=k, 0<k<=|V(G)|/2)
+
+        """
+
+        def cheeger(G, k):
+            return min(len(nx.node_boundary(G, nn)) / k for nn in combinations(G, k))
+
+        P = nx.petersen_graph()
+        assert cheeger(P, 1) == pytest.approx(3.00, abs=1e-2)
+        assert cheeger(P, 2) == pytest.approx(2.00, abs=1e-2)
+        assert cheeger(P, 3) == pytest.approx(1.67, abs=1e-2)
+        assert cheeger(P, 4) == pytest.approx(1.00, abs=1e-2)
+        assert cheeger(P, 5) == pytest.approx(0.80, abs=1e-2)
+
+    def test_directed(self):
+        """Tests the node boundary of a directed graph."""
+        G = nx.DiGraph([(0, 1), (1, 2), (2, 3), (3, 4), (4, 0)])
+        S = {0, 1}
+        boundary = nx.node_boundary(G, S)
+        expected = {2}
+        assert boundary == expected
+
+    def test_multigraph(self):
+        """Tests the node boundary of a multigraph."""
+        G = nx.MultiGraph(list(nx.cycle_graph(5).edges()) * 2)
+        S = {0, 1}
+        boundary = nx.node_boundary(G, S)
+        expected = {2, 4}
+        assert boundary == expected
+
+    def test_multidigraph(self):
+        """Tests the edge boundary of a multidigraph."""
+        edges = [(0, 1), (1, 2), (2, 3), (3, 4), (4, 0)]
+        G = nx.MultiDiGraph(edges * 2)
+        S = {0, 1}
+        boundary = nx.node_boundary(G, S)
+        expected = {2}
+        assert boundary == expected
+
+
+class TestEdgeBoundary:
+    """Unit tests for the :func:`~networkx.edge_boundary` function."""
+
+    def test_null_graph(self):
+        null = nx.null_graph()
+        assert list(nx.edge_boundary(null, [])) == []
+        assert list(nx.edge_boundary(null, [], [])) == []
+        assert list(nx.edge_boundary(null, [1, 2, 3])) == []
+        assert list(nx.edge_boundary(null, [1, 2, 3], [4, 5, 6])) == []
+        assert list(nx.edge_boundary(null, [1, 2, 3], [3, 4, 5])) == []
+
+    def test_path_graph(self):
+        P10 = cnlti(nx.path_graph(10), first_label=1)
+        assert list(nx.edge_boundary(P10, [])) == []
+        assert list(nx.edge_boundary(P10, [], [])) == []
+        assert list(nx.edge_boundary(P10, [1, 2, 3])) == [(3, 4)]
+        assert sorted(nx.edge_boundary(P10, [4, 5, 6])) == [(4, 3), (6, 7)]
+        assert sorted(nx.edge_boundary(P10, [3, 4, 5, 6, 7])) == [(3, 2), (7, 8)]
+        assert list(nx.edge_boundary(P10, [8, 9, 10])) == [(8, 7)]
+        assert sorted(nx.edge_boundary(P10, [4, 5, 6], [9, 10])) == []
+        assert list(nx.edge_boundary(P10, [1, 2, 3], [3, 4, 5])) == [(2, 3), (3, 4)]
+
+    def test_complete_graph(self):
+        K10 = cnlti(nx.complete_graph(10), first_label=1)
+
+        def ilen(iterable):
+            return sum(1 for i in iterable)
+
+        assert list(nx.edge_boundary(K10, [])) == []
+        assert list(nx.edge_boundary(K10, [], [])) == []
+        assert ilen(nx.edge_boundary(K10, [1, 2, 3])) == 21
+        assert ilen(nx.edge_boundary(K10, [4, 5, 6, 7])) == 24
+        assert ilen(nx.edge_boundary(K10, [3, 4, 5, 6, 7])) == 25
+        assert ilen(nx.edge_boundary(K10, [8, 9, 10])) == 21
+        assert edges_equal(
+            nx.edge_boundary(K10, [4, 5, 6], [9, 10]),
+            [(4, 9), (4, 10), (5, 9), (5, 10), (6, 9), (6, 10)],
+        )
+        assert edges_equal(
+            nx.edge_boundary(K10, [1, 2, 3], [3, 4, 5]),
+            [(1, 3), (1, 4), (1, 5), (2, 3), (2, 4), (2, 5), (3, 4), (3, 5)],
+        )
+
+    def test_directed(self):
+        """Tests the edge boundary of a directed graph."""
+        G = nx.DiGraph([(0, 1), (1, 2), (2, 3), (3, 4), (4, 0)])
+        S = {0, 1}
+        boundary = list(nx.edge_boundary(G, S))
+        expected = [(1, 2)]
+        assert boundary == expected
+
+    def test_multigraph(self):
+        """Tests the edge boundary of a multigraph."""
+        G = nx.MultiGraph(list(nx.cycle_graph(5).edges()) * 2)
+        S = {0, 1}
+        boundary = list(nx.edge_boundary(G, S))
+        expected = [(0, 4), (0, 4), (1, 2), (1, 2)]
+        assert boundary == expected
+
+    def test_multidigraph(self):
+        """Tests the edge boundary of a multidigraph."""
+        edges = [(0, 1), (1, 2), (2, 3), (3, 4), (4, 0)]
+        G = nx.MultiDiGraph(edges * 2)
+        S = {0, 1}
+        boundary = list(nx.edge_boundary(G, S))
+        expected = [(1, 2), (1, 2)]
+        assert boundary == expected

valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_bridges.py

@@ -0,0 +1,144 @@
+"""Unit tests for bridge-finding algorithms."""
+
+import pytest
+
+import networkx as nx
+
+
+class TestBridges:
+    """Unit tests for the bridge-finding function."""
+
+    def test_single_bridge(self):
+        edges = [
+            # DFS tree edges.
+            (1, 2),
+            (2, 3),
+            (3, 4),
+            (3, 5),
+            (5, 6),
+            (6, 7),
+            (7, 8),
+            (5, 9),
+            (9, 10),
+            # Nontree edges.
+            (1, 3),
+            (1, 4),
+            (2, 5),
+            (5, 10),
+            (6, 8),
+        ]
+        G = nx.Graph(edges)
+        source = 1
+        bridges = list(nx.bridges(G, source))
+        assert bridges == [(5, 6)]
+
+    def test_barbell_graph(self):
+        # The (3, 0) barbell graph has two triangles joined by a single edge.
+        G = nx.barbell_graph(3, 0)
+        source = 0
+        bridges = list(nx.bridges(G, source))
+        assert bridges == [(2, 3)]
+
+    def test_multiedge_bridge(self):
+        edges = [
+            (0, 1),
+            (0, 2),
+            (1, 2),
+            (1, 2),
+            (2, 3),
+            (3, 4),
+            (3, 4),
+        ]
+        G = nx.MultiGraph(edges)
+        assert list(nx.bridges(G)) == [(2, 3)]
+
+
+class TestHasBridges:
+    """Unit tests for the has bridges function."""
+
+    def test_single_bridge(self):
+        edges = [
+            # DFS tree edges.
+            (1, 2),
+            (2, 3),
+            (3, 4),
+            (3, 5),
+            (5, 6),  # The only bridge edge
+            (6, 7),
+            (7, 8),
+            (5, 9),
+            (9, 10),
+            # Nontree edges.
+            (1, 3),
+            (1, 4),
+            (2, 5),
+            (5, 10),
+            (6, 8),
+        ]
+        G = nx.Graph(edges)
+        assert nx.has_bridges(G)  # Default root
+        assert nx.has_bridges(G, root=1)  # arbitrary root in G
+
+    def test_has_bridges_raises_root_not_in_G(self):
+        G = nx.Graph()
+        G.add_nodes_from([1, 2, 3])
+        with pytest.raises(nx.NodeNotFound):
+            nx.has_bridges(G, root=6)
+
+    def test_multiedge_bridge(self):
+        edges = [
+            (0, 1),
+            (0, 2),
+            (1, 2),
+            (1, 2),
+            (2, 3),
+            (3, 4),
+            (3, 4),
+        ]
+        G = nx.MultiGraph(edges)
+        assert nx.has_bridges(G)
+        # Make every edge a multiedge
+        G.add_edges_from([(0, 1), (0, 2), (2, 3)])
+        assert not nx.has_bridges(G)
+
+    def test_bridges_multiple_components(self):
+        G = nx.Graph()
+        nx.add_path(G, [0, 1, 2])  # One connected component
+        nx.add_path(G, [4, 5, 6])  # Another connected component
+        assert list(nx.bridges(G, root=4)) == [(4, 5), (5, 6)]
+
+
+class TestLocalBridges:
+    """Unit tests for the local_bridge function."""
+
+    @classmethod
+    def setup_class(cls):
+        cls.BB = nx.barbell_graph(4, 0)
+        cls.square = nx.cycle_graph(4)
+        cls.tri = nx.cycle_graph(3)
+
+    def test_nospan(self):
+        expected = {(3, 4), (4, 3)}
+        assert next(nx.local_bridges(self.BB, with_span=False)) in expected
+        assert set(nx.local_bridges(self.square, with_span=False)) == self.square.edges
+        assert list(nx.local_bridges(self.tri, with_span=False)) == []
+
+    def test_no_weight(self):
+        inf = float("inf")
+        expected = {(3, 4, inf), (4, 3, inf)}
+        assert next(nx.local_bridges(self.BB)) in expected
+        expected = {(u, v, 3) for u, v in self.square.edges}
+        assert set(nx.local_bridges(self.square)) == expected
+        assert list(nx.local_bridges(self.tri)) == []
+
+    def test_weight(self):
+        inf = float("inf")
+        G = self.square.copy()
+
+        G.edges[1, 2]["weight"] = 2
+        expected = {(u, v, 5 - wt) for u, v, wt in G.edges(data="weight", default=1)}
+        assert set(nx.local_bridges(G, weight="weight")) == expected
+
+        expected = {(u, v, 6) for u, v in G.edges}
+        lb = nx.local_bridges(G, weight=lambda u, v, d: 2)
+        assert set(lb) == expected

valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_broadcasting.py

@@ -0,0 +1,81 @@
+"""Unit tests for the broadcasting module."""
+import math
+
+import networkx as nx
+
+
+def test_example_tree_broadcast():
+    """
+    Test the BROADCAST algorithm on the example in the paper titled: "Information Dissemination in Trees"
+    """
+    edge_list = [
+        (0, 1),
+        (1, 2),
+        (2, 7),
+        (3, 4),
+        (5, 4),
+        (4, 7),
+        (6, 7),
+        (7, 9),
+        (8, 9),
+        (9, 13),
+        (13, 14),
+        (14, 15),
+        (14, 16),
+        (14, 17),
+        (13, 11),
+        (11, 10),
+        (11, 12),
+        (13, 18),
+        (18, 19),
+        (18, 20),
+    ]
+    G = nx.Graph(edge_list)
+    b_T, b_C = nx.tree_broadcast_center(G)
+    assert b_T == 6
+    assert b_C == {13, 9}
+    # test broadcast time from specific vertex
+    assert nx.tree_broadcast_time(G, 17) == 8
+    assert nx.tree_broadcast_time(G, 3) == 9
+    # test broadcast time of entire tree
+    assert nx.tree_broadcast_time(G) == 10
+
+
+def test_path_broadcast():
+    for i in range(2, 12):
+        G = nx.path_graph(i)
+        b_T, b_C = nx.tree_broadcast_center(G)
+        assert b_T == math.ceil(i / 2)
+        assert b_C == {
+            math.ceil(i / 2),
+            math.floor(i / 2),
+            math.ceil(i / 2 - 1),
+            math.floor(i / 2 - 1),
+        }
+        assert nx.tree_broadcast_time(G) == i - 1
+
+
+def test_empty_graph_broadcast():
+    H = nx.empty_graph(1)
+    b_T, b_C = nx.tree_broadcast_center(H)
+    assert b_T == 0
+    assert b_C == {0}
+    assert nx.tree_broadcast_time(H) == 0
+
+
+def test_star_broadcast():
+    for i in range(4, 12):
+        G = nx.star_graph(i)
+        b_T, b_C = nx.tree_broadcast_center(G)
+        assert b_T == i
+        assert b_C == set(G.nodes())
+        assert nx.tree_broadcast_time(G) == b_T
+
+
+def test_binomial_tree_broadcast():
+    for i in range(2, 8):
+        G = nx.binomial_tree(i)
+        b_T, b_C = nx.tree_broadcast_center(G)
+        assert b_T == i
+        assert b_C == {0, 2 ** (i - 1)}
+        assert nx.tree_broadcast_time(G) == 2 * i - 1

valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_chordal.py

@@ -0,0 +1,129 @@
+import pytest
+
+import networkx as nx
+
+
+class TestMCS:
+    @classmethod
+    def setup_class(cls):
+        # simple graph
+        connected_chordal_G = nx.Graph()
+        connected_chordal_G.add_edges_from(
+            [
+                (1, 2),
+                (1, 3),
+                (2, 3),
+                (2, 4),
+                (3, 4),
+                (3, 5),
+                (3, 6),
+                (4, 5),
+                (4, 6),
+                (5, 6),
+            ]
+        )
+        cls.connected_chordal_G = connected_chordal_G
+
+        chordal_G = nx.Graph()
+        chordal_G.add_edges_from(
+            [
+                (1, 2),
+                (1, 3),
+                (2, 3),
+                (2, 4),
+                (3, 4),
+                (3, 5),
+                (3, 6),
+                (4, 5),
+                (4, 6),
+                (5, 6),
+                (7, 8),
+            ]
+        )
+        chordal_G.add_node(9)
+        cls.chordal_G = chordal_G
+
+        non_chordal_G = nx.Graph()
+        non_chordal_G.add_edges_from([(1, 2), (1, 3), (2, 4), (2, 5), (3, 4), (3, 5)])
+        cls.non_chordal_G = non_chordal_G
+
+        self_loop_G = nx.Graph()
+        self_loop_G.add_edges_from([(1, 1)])
+        cls.self_loop_G = self_loop_G
+
+    @pytest.mark.parametrize("G", (nx.DiGraph(), nx.MultiGraph(), nx.MultiDiGraph()))
+    def test_is_chordal_not_implemented(self, G):
+        with pytest.raises(nx.NetworkXNotImplemented):
+            nx.is_chordal(G)
+
+    def test_is_chordal(self):
+        assert not nx.is_chordal(self.non_chordal_G)
+        assert nx.is_chordal(self.chordal_G)
+        assert nx.is_chordal(self.connected_chordal_G)
+        assert nx.is_chordal(nx.Graph())
+        assert nx.is_chordal(nx.complete_graph(3))
+        assert nx.is_chordal(nx.cycle_graph(3))
+        assert not nx.is_chordal(nx.cycle_graph(5))
+        assert nx.is_chordal(self.self_loop_G)
+
+    def test_induced_nodes(self):
+        G = nx.generators.classic.path_graph(10)
+        Induced_nodes = nx.find_induced_nodes(G, 1, 9, 2)
+        assert Induced_nodes == {1, 2, 3, 4, 5, 6, 7, 8, 9}
+        pytest.raises(
+            nx.NetworkXTreewidthBoundExceeded, nx.find_induced_nodes, G, 1, 9, 1
+        )
+        Induced_nodes = nx.find_induced_nodes(self.chordal_G, 1, 6)
+        assert Induced_nodes == {1, 2, 4, 6}
+        pytest.raises(nx.NetworkXError, nx.find_induced_nodes, self.non_chordal_G, 1, 5)
+
+    def test_graph_treewidth(self):
+        with pytest.raises(nx.NetworkXError, match="Input graph is not chordal"):
+            nx.chordal_graph_treewidth(self.non_chordal_G)
+
+    def test_chordal_find_cliques(self):
+        cliques = {
+            frozenset([9]),
+            frozenset([7, 8]),
+            frozenset([1, 2, 3]),
+            frozenset([2, 3, 4]),
+            frozenset([3, 4, 5, 6]),
+        }
+        assert set(nx.chordal_graph_cliques(self.chordal_G)) == cliques
+        with pytest.raises(nx.NetworkXError, match="Input graph is not chordal"):
+            set(nx.chordal_graph_cliques(self.non_chordal_G))
+        with pytest.raises(nx.NetworkXError, match="Input graph is not chordal"):
+            set(nx.chordal_graph_cliques(self.self_loop_G))
+
+    def test_chordal_find_cliques_path(self):
+        G = nx.path_graph(10)
+        cliqueset = nx.chordal_graph_cliques(G)
+        for u, v in G.edges():
+            assert frozenset([u, v]) in cliqueset or frozenset([v, u]) in cliqueset
+
+    def test_chordal_find_cliquesCC(self):
+        cliques = {frozenset([1, 2, 3]), frozenset([2, 3, 4]), frozenset([3, 4, 5, 6])}
+        cgc = nx.chordal_graph_cliques
+        assert set(cgc(self.connected_chordal_G)) == cliques
+
+    def test_complete_to_chordal_graph(self):
+        fgrg = nx.fast_gnp_random_graph
+        test_graphs = [
+            nx.barbell_graph(6, 2),
+            nx.cycle_graph(15),
+            nx.wheel_graph(20),
+            nx.grid_graph([10, 4]),
+            nx.ladder_graph(15),
+            nx.star_graph(5),
+            nx.bull_graph(),
+            fgrg(20, 0.3, seed=1),
+        ]
+        for G in test_graphs:
+            H, a = nx.complete_to_chordal_graph(G)
+            assert nx.is_chordal(H)
+            assert len(a) == H.number_of_nodes()
+            if nx.is_chordal(G):
+                assert G.number_of_edges() == H.number_of_edges()
+                assert set(a.values()) == {0}
+            else:
+                assert len(set(a.values())) == H.number_of_nodes()

valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_clique.py

@@ -0,0 +1,291 @@
+import pytest
+
+import networkx as nx
+from networkx import convert_node_labels_to_integers as cnlti
+
+
+class TestCliques:
+    def setup_method(self):
+        z = [3, 4, 3, 4, 2, 4, 2, 1, 1, 1, 1]
+        self.G = cnlti(nx.generators.havel_hakimi_graph(z), first_label=1)
+        self.cl = list(nx.find_cliques(self.G))
+        H = nx.complete_graph(6)
+        H = nx.relabel_nodes(H, {i: i + 1 for i in range(6)})
+        H.remove_edges_from([(2, 6), (2, 5), (2, 4), (1, 3), (5, 3)])
+        self.H = H
+
+    def test_find_cliques1(self):
+        cl = list(nx.find_cliques(self.G))
+        rcl = nx.find_cliques_recursive(self.G)
+        expected = [[2, 6, 1, 3], [2, 6, 4], [5, 4, 7], [8, 9], [10, 11]]
+        assert sorted(map(sorted, cl)) == sorted(map(sorted, rcl))
+        assert sorted(map(sorted, cl)) == sorted(map(sorted, expected))
+
+    def test_selfloops(self):
+        self.G.add_edge(1, 1)
+        cl = list(nx.find_cliques(self.G))
+        rcl = list(nx.find_cliques_recursive(self.G))
+        assert set(map(frozenset, cl)) == set(map(frozenset, rcl))
+        answer = [{2, 6, 1, 3}, {2, 6, 4}, {5, 4, 7}, {8, 9}, {10, 11}]
+        assert len(answer) == len(cl)
+        assert all(set(c) in answer for c in cl)
+
+    def test_find_cliques2(self):
+        hcl = list(nx.find_cliques(self.H))
+        assert sorted(map(sorted, hcl)) == [[1, 2], [1, 4, 5, 6], [2, 3], [3, 4, 6]]
+
+    def test_find_cliques3(self):
+        # all cliques are [[2, 6, 1, 3], [2, 6, 4], [5, 4, 7], [8, 9], [10, 11]]
+
+        cl = list(nx.find_cliques(self.G, [2]))
+        rcl = nx.find_cliques_recursive(self.G, [2])
+        expected = [[2, 6, 1, 3], [2, 6, 4]]
+        assert sorted(map(sorted, rcl)) == sorted(map(sorted, expected))
+        assert sorted(map(sorted, cl)) == sorted(map(sorted, expected))
+
+        cl = list(nx.find_cliques(self.G, [2, 3]))
+        rcl = nx.find_cliques_recursive(self.G, [2, 3])
+        expected = [[2, 6, 1, 3]]
+        assert sorted(map(sorted, rcl)) == sorted(map(sorted, expected))
+        assert sorted(map(sorted, cl)) == sorted(map(sorted, expected))
+
+        cl = list(nx.find_cliques(self.G, [2, 6, 4]))
+        rcl = nx.find_cliques_recursive(self.G, [2, 6, 4])
+        expected = [[2, 6, 4]]
+        assert sorted(map(sorted, rcl)) == sorted(map(sorted, expected))
+        assert sorted(map(sorted, cl)) == sorted(map(sorted, expected))
+
+        cl = list(nx.find_cliques(self.G, [2, 6, 4]))
+        rcl = nx.find_cliques_recursive(self.G, [2, 6, 4])
+        expected = [[2, 6, 4]]
+        assert sorted(map(sorted, rcl)) == sorted(map(sorted, expected))
+        assert sorted(map(sorted, cl)) == sorted(map(sorted, expected))
+
+        with pytest.raises(ValueError):
+            list(nx.find_cliques(self.G, [2, 6, 4, 1]))
+
+        with pytest.raises(ValueError):
+            list(nx.find_cliques_recursive(self.G, [2, 6, 4, 1]))
+
+    def test_number_of_cliques(self):
+        G = self.G
+        assert nx.number_of_cliques(G, 1) == 1
+        assert list(nx.number_of_cliques(G, [1]).values()) == [1]
+        assert list(nx.number_of_cliques(G, [1, 2]).values()) == [1, 2]
+        assert nx.number_of_cliques(G, [1, 2]) == {1: 1, 2: 2}
+        assert nx.number_of_cliques(G, 2) == 2
+        assert nx.number_of_cliques(G) == {
+            1: 1,
+            2: 2,
+            3: 1,
+            4: 2,
+            5: 1,
+            6: 2,
+            7: 1,
+            8: 1,
+            9: 1,
+            10: 1,
+            11: 1,
+        }
+        assert nx.number_of_cliques(G, nodes=list(G)) == {
+            1: 1,
+            2: 2,
+            3: 1,
+            4: 2,
+            5: 1,
+            6: 2,
+            7: 1,
+            8: 1,
+            9: 1,
+            10: 1,
+            11: 1,
+        }
+        assert nx.number_of_cliques(G, nodes=[2, 3, 4]) == {2: 2, 3: 1, 4: 2}
+        assert nx.number_of_cliques(G, cliques=self.cl) == {
+            1: 1,
+            2: 2,
+            3: 1,
+            4: 2,
+            5: 1,
+            6: 2,
+            7: 1,
+            8: 1,
+            9: 1,
+            10: 1,
+            11: 1,
+        }
+        assert nx.number_of_cliques(G, list(G), cliques=self.cl) == {
+            1: 1,
+            2: 2,
+            3: 1,
+            4: 2,
+            5: 1,
+            6: 2,
+            7: 1,
+            8: 1,
+            9: 1,
+            10: 1,
+            11: 1,
+        }
+
+    def test_node_clique_number(self):
+        G = self.G
+        assert nx.node_clique_number(G, 1) == 4
+        assert list(nx.node_clique_number(G, [1]).values()) == [4]
+        assert list(nx.node_clique_number(G, [1, 2]).values()) == [4, 4]
+        assert nx.node_clique_number(G, [1, 2]) == {1: 4, 2: 4}
+        assert nx.node_clique_number(G, 1) == 4
+        assert nx.node_clique_number(G) == {
+            1: 4,
+            2: 4,
+            3: 4,
+            4: 3,
+            5: 3,
+            6: 4,
+            7: 3,
+            8: 2,
+            9: 2,
+            10: 2,
+            11: 2,
+        }
+        assert nx.node_clique_number(G, cliques=self.cl) == {
+            1: 4,
+            2: 4,
+            3: 4,
+            4: 3,
+            5: 3,
+            6: 4,
+            7: 3,
+            8: 2,
+            9: 2,
+            10: 2,
+            11: 2,
+        }
+        assert nx.node_clique_number(G, [1, 2], cliques=self.cl) == {1: 4, 2: 4}
+        assert nx.node_clique_number(G, 1, cliques=self.cl) == 4
+
+    def test_make_clique_bipartite(self):
+        G = self.G
+        B = nx.make_clique_bipartite(G)
+        assert sorted(B) == [-5, -4, -3, -2, -1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]
+        # Project onto the nodes of the original graph.
+        H = nx.projected_graph(B, range(1, 12))
+        assert H.adj == G.adj
+        # Project onto the nodes representing the cliques.
+        H1 = nx.projected_graph(B, range(-5, 0))
+        # Relabel the negative numbers as positive ones.
+        H1 = nx.relabel_nodes(H1, {-v: v for v in range(1, 6)})
+        assert sorted(H1) == [1, 2, 3, 4, 5]
+
+    def test_make_max_clique_graph(self):
+        """Tests that the maximal clique graph is the same as the bipartite
+        clique graph after being projected onto the nodes representing the
+        cliques.
+
+        """
+        G = self.G
+        B = nx.make_clique_bipartite(G)
+        # Project onto the nodes representing the cliques.
+        H1 = nx.projected_graph(B, range(-5, 0))
+        # Relabel the negative numbers as nonnegative ones, starting at
+        # 0.
+        H1 = nx.relabel_nodes(H1, {-v: v - 1 for v in range(1, 6)})
+        H2 = nx.make_max_clique_graph(G)
+        assert H1.adj == H2.adj
+
+    def test_directed(self):
+        with pytest.raises(nx.NetworkXNotImplemented):
+            next(nx.find_cliques(nx.DiGraph()))
+
+    def test_find_cliques_trivial(self):
+        G = nx.Graph()
+        assert sorted(nx.find_cliques(G)) == []
+        assert sorted(nx.find_cliques_recursive(G)) == []
+
+    def test_make_max_clique_graph_create_using(self):
+        G = nx.Graph([(1, 2), (3, 1), (4, 1), (5, 6)])
+        E = nx.Graph([(0, 1), (0, 2), (1, 2)])
+        E.add_node(3)
+        assert nx.is_isomorphic(nx.make_max_clique_graph(G, create_using=nx.Graph), E)
+
+
+class TestEnumerateAllCliques:
+    def test_paper_figure_4(self):
+        # Same graph as given in Fig. 4 of paper enumerate_all_cliques is
+        # based on.
+        # http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1559964&isnumber=33129
+        G = nx.Graph()
+        edges_fig_4 = [
+            ("a", "b"),
+            ("a", "c"),
+            ("a", "d"),
+            ("a", "e"),
+            ("b", "c"),
+            ("b", "d"),
+            ("b", "e"),
+            ("c", "d"),
+            ("c", "e"),
+            ("d", "e"),
+            ("f", "b"),
+            ("f", "c"),
+            ("f", "g"),
+            ("g", "f"),
+            ("g", "c"),
+            ("g", "d"),
+            ("g", "e"),
+        ]
+        G.add_edges_from(edges_fig_4)
+
+        cliques = list(nx.enumerate_all_cliques(G))
+        clique_sizes = list(map(len, cliques))
+        assert sorted(clique_sizes) == clique_sizes
+
+        expected_cliques = [
+            ["a"],
+            ["b"],
+            ["c"],
+            ["d"],
+            ["e"],
+            ["f"],
+            ["g"],
+            ["a", "b"],
+            ["a", "b", "d"],
+            ["a", "b", "d", "e"],
+            ["a", "b", "e"],
+            ["a", "c"],
+            ["a", "c", "d"],
+            ["a", "c", "d", "e"],
+            ["a", "c", "e"],
+            ["a", "d"],
+            ["a", "d", "e"],
+            ["a", "e"],
+            ["b", "c"],
+            ["b", "c", "d"],
+            ["b", "c", "d", "e"],
+            ["b", "c", "e"],
+            ["b", "c", "f"],
+            ["b", "d"],
+            ["b", "d", "e"],
+            ["b", "e"],
+            ["b", "f"],
+            ["c", "d"],
+            ["c", "d", "e"],
+            ["c", "d", "e", "g"],
+            ["c", "d", "g"],
+            ["c", "e"],
+            ["c", "e", "g"],
+            ["c", "f"],
+            ["c", "f", "g"],
+            ["c", "g"],
+            ["d", "e"],
+            ["d", "e", "g"],
+            ["d", "g"],
+            ["e", "g"],
+            ["f", "g"],
+            ["a", "b", "c"],
+            ["a", "b", "c", "d"],
+            ["a", "b", "c", "d", "e"],
+            ["a", "b", "c", "e"],
+        ]
+
+        assert sorted(map(sorted, cliques)) == sorted(map(sorted, expected_cliques))

valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_cluster.py

@@ -0,0 +1,549 @@
+import pytest
+
+import networkx as nx
+
+
+class TestTriangles:
+    def test_empty(self):
+        G = nx.Graph()
+        assert list(nx.triangles(G).values()) == []
+
+    def test_path(self):
+        G = nx.path_graph(10)
+        assert list(nx.triangles(G).values()) == [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
+        assert nx.triangles(G) == {
+            0: 0,
+            1: 0,
+            2: 0,
+            3: 0,
+            4: 0,
+            5: 0,
+            6: 0,
+            7: 0,
+            8: 0,
+            9: 0,
+        }
+
+    def test_cubical(self):
+        G = nx.cubical_graph()
+        assert list(nx.triangles(G).values()) == [0, 0, 0, 0, 0, 0, 0, 0]
+        assert nx.triangles(G, 1) == 0
+        assert list(nx.triangles(G, [1, 2]).values()) == [0, 0]
+        assert nx.triangles(G, 1) == 0
+        assert nx.triangles(G, [1, 2]) == {1: 0, 2: 0}
+
+    def test_k5(self):
+        G = nx.complete_graph(5)
+        assert list(nx.triangles(G).values()) == [6, 6, 6, 6, 6]
+        assert sum(nx.triangles(G).values()) / 3 == 10
+        assert nx.triangles(G, 1) == 6
+        G.remove_edge(1, 2)
+        assert list(nx.triangles(G).values()) == [5, 3, 3, 5, 5]
+        assert nx.triangles(G, 1) == 3
+        G.add_edge(3, 3)  # ignore self-edges
+        assert list(nx.triangles(G).values()) == [5, 3, 3, 5, 5]
+        assert nx.triangles(G, 3) == 5
+
+
+class TestDirectedClustering:
+    def test_clustering(self):
+        G = nx.DiGraph()
+        assert list(nx.clustering(G).values()) == []
+        assert nx.clustering(G) == {}
+
+    def test_path(self):
+        G = nx.path_graph(10, create_using=nx.DiGraph())
+        assert list(nx.clustering(G).values()) == [
+            0,
+            0,
+            0,
+            0,
+            0,
+            0,
+            0,
+            0,
+            0,
+            0,
+        ]
+        assert nx.clustering(G) == {
+            0: 0,
+            1: 0,
+            2: 0,
+            3: 0,
+            4: 0,
+            5: 0,
+            6: 0,
+            7: 0,
+            8: 0,
+            9: 0,
+        }
+        assert nx.clustering(G, 0) == 0
+
+    def test_k5(self):
+        G = nx.complete_graph(5, create_using=nx.DiGraph())
+        assert list(nx.clustering(G).values()) == [1, 1, 1, 1, 1]
+        assert nx.average_clustering(G) == 1
+        G.remove_edge(1, 2)
+        assert list(nx.clustering(G).values()) == [
+            11 / 12,
+            1,
+            1,
+            11 / 12,
+            11 / 12,
+        ]
+        assert nx.clustering(G, [1, 4]) == {1: 1, 4: 11 / 12}
+        G.remove_edge(2, 1)
+        assert list(nx.clustering(G).values()) == [
+            5 / 6,
+            1,
+            1,
+            5 / 6,
+            5 / 6,
+        ]
+        assert nx.clustering(G, [1, 4]) == {1: 1, 4: 0.83333333333333337}
+        assert nx.clustering(G, 4) == 5 / 6
+
+    def test_triangle_and_edge(self):
+        G = nx.cycle_graph(3, create_using=nx.DiGraph())
+        G.add_edge(0, 4)
+        assert nx.clustering(G)[0] == 1 / 6
+
+
+class TestDirectedWeightedClustering:
+    @classmethod
+    def setup_class(cls):
+        global np
+        np = pytest.importorskip("numpy")
+
+    def test_clustering(self):
+        G = nx.DiGraph()
+        assert list(nx.clustering(G, weight="weight").values()) == []
+        assert nx.clustering(G) == {}
+
+    def test_path(self):
+        G = nx.path_graph(10, create_using=nx.DiGraph())
+        assert list(nx.clustering(G, weight="weight").values()) == [
+            0,
+            0,
+            0,
+            0,
+            0,
+            0,
+            0,
+            0,
+            0,
+            0,
+        ]
+        assert nx.clustering(G, weight="weight") == {
+            0: 0,
+            1: 0,
+            2: 0,
+            3: 0,
+            4: 0,
+            5: 0,
+            6: 0,
+            7: 0,
+            8: 0,
+            9: 0,
+        }
+
+    def test_k5(self):
+        G = nx.complete_graph(5, create_using=nx.DiGraph())
+        assert list(nx.clustering(G, weight="weight").values()) == [1, 1, 1, 1, 1]
+        assert nx.average_clustering(G, weight="weight") == 1
+        G.remove_edge(1, 2)
+        assert list(nx.clustering(G, weight="weight").values()) == [
+            11 / 12,
+            1,
+            1,
+            11 / 12,
+            11 / 12,
+        ]
+        assert nx.clustering(G, [1, 4], weight="weight") == {1: 1, 4: 11 / 12}
+        G.remove_edge(2, 1)
+        assert list(nx.clustering(G, weight="weight").values()) == [
+            5 / 6,
+            1,
+            1,
+            5 / 6,
+            5 / 6,
+        ]
+        assert nx.clustering(G, [1, 4], weight="weight") == {
+            1: 1,
+            4: 0.83333333333333337,
+        }
+
+    def test_triangle_and_edge(self):
+        G = nx.cycle_graph(3, create_using=nx.DiGraph())
+        G.add_edge(0, 4, weight=2)
+        assert nx.clustering(G)[0] == 1 / 6
+        # Relaxed comparisons to allow graphblas-algorithms to pass tests
+        np.testing.assert_allclose(nx.clustering(G, weight="weight")[0], 1 / 12)
+        np.testing.assert_allclose(nx.clustering(G, 0, weight="weight"), 1 / 12)
+
+
+class TestWeightedClustering:
+    @classmethod
+    def setup_class(cls):
+        global np
+        np = pytest.importorskip("numpy")
+
+    def test_clustering(self):
+        G = nx.Graph()
+        assert list(nx.clustering(G, weight="weight").values()) == []
+        assert nx.clustering(G) == {}
+
+    def test_path(self):
+        G = nx.path_graph(10)
+        assert list(nx.clustering(G, weight="weight").values()) == [
+            0,
+            0,
+            0,
+            0,
+            0,
+            0,
+            0,
+            0,
+            0,
+            0,
+        ]
+        assert nx.clustering(G, weight="weight") == {
+            0: 0,
+            1: 0,
+            2: 0,
+            3: 0,
+            4: 0,
+            5: 0,
+            6: 0,
+            7: 0,
+            8: 0,
+            9: 0,
+        }
+
+    def test_cubical(self):
+        G = nx.cubical_graph()
+        assert list(nx.clustering(G, weight="weight").values()) == [
+            0,
+            0,
+            0,
+            0,
+            0,
+            0,
+            0,
+            0,
+        ]
+        assert nx.clustering(G, 1) == 0
+        assert list(nx.clustering(G, [1, 2], weight="weight").values()) == [0, 0]
+        assert nx.clustering(G, 1, weight="weight") == 0
+        assert nx.clustering(G, [1, 2], weight="weight") == {1: 0, 2: 0}
+
+    def test_k5(self):
+        G = nx.complete_graph(5)
+        assert list(nx.clustering(G, weight="weight").values()) == [1, 1, 1, 1, 1]
+        assert nx.average_clustering(G, weight="weight") == 1
+        G.remove_edge(1, 2)
+        assert list(nx.clustering(G, weight="weight").values()) == [
+            5 / 6,
+            1,
+            1,
+            5 / 6,
+            5 / 6,
+        ]
+        assert nx.clustering(G, [1, 4], weight="weight") == {
+            1: 1,
+            4: 0.83333333333333337,
+        }
+
+    def test_triangle_and_edge(self):
+        G = nx.cycle_graph(3)
+        G.add_edge(0, 4, weight=2)
+        assert nx.clustering(G)[0] == 1 / 3
+        np.testing.assert_allclose(nx.clustering(G, weight="weight")[0], 1 / 6)
+        np.testing.assert_allclose(nx.clustering(G, 0, weight="weight"), 1 / 6)
+
+    def test_triangle_and_signed_edge(self):
+        G = nx.cycle_graph(3)
+        G.add_edge(0, 1, weight=-1)
+        G.add_edge(3, 0, weight=0)
+        assert nx.clustering(G)[0] == 1 / 3
+        assert nx.clustering(G, weight="weight")[0] == -1 / 3
+
+
+class TestClustering:
+    @classmethod
+    def setup_class(cls):
+        pytest.importorskip("numpy")
+
+    def test_clustering(self):
+        G = nx.Graph()
+        assert list(nx.clustering(G).values()) == []
+        assert nx.clustering(G) == {}
+
+    def test_path(self):
+        G = nx.path_graph(10)
+        assert list(nx.clustering(G).values()) == [
+            0,
+            0,
+            0,
+            0,
+            0,
+            0,
+            0,
+            0,
+            0,
+            0,
+        ]
+        assert nx.clustering(G) == {
+            0: 0,
+            1: 0,
+            2: 0,
+            3: 0,
+            4: 0,
+            5: 0,
+            6: 0,
+            7: 0,
+            8: 0,
+            9: 0,
+        }
+
+    def test_cubical(self):
+        G = nx.cubical_graph()
+        assert list(nx.clustering(G).values()) == [0, 0, 0, 0, 0, 0, 0, 0]
+        assert nx.clustering(G, 1) == 0
+        assert list(nx.clustering(G, [1, 2]).values()) == [0, 0]
+        assert nx.clustering(G, 1) == 0
+        assert nx.clustering(G, [1, 2]) == {1: 0, 2: 0}
+
+    def test_k5(self):
+        G = nx.complete_graph(5)
+        assert list(nx.clustering(G).values()) == [1, 1, 1, 1, 1]
+        assert nx.average_clustering(G) == 1
+        G.remove_edge(1, 2)
+        assert list(nx.clustering(G).values()) == [
+            5 / 6,
+            1,
+            1,
+            5 / 6,
+            5 / 6,
+        ]
+        assert nx.clustering(G, [1, 4]) == {1: 1, 4: 0.83333333333333337}
+
+    def test_k5_signed(self):
+        G = nx.complete_graph(5)
+        assert list(nx.clustering(G).values()) == [1, 1, 1, 1, 1]
+        assert nx.average_clustering(G) == 1
+        G.remove_edge(1, 2)
+        G.add_edge(0, 1, weight=-1)
+        assert list(nx.clustering(G, weight="weight").values()) == [
+            1 / 6,
+            -1 / 3,
+            1,
+            3 / 6,
+            3 / 6,
+        ]
+
+
+class TestTransitivity:
+    def test_transitivity(self):
+        G = nx.Graph()
+        assert nx.transitivity(G) == 0
+
+    def test_path(self):
+        G = nx.path_graph(10)
+        assert nx.transitivity(G) == 0
+
+    def test_cubical(self):
+        G = nx.cubical_graph()
+        assert nx.transitivity(G) == 0
+
+    def test_k5(self):
+        G = nx.complete_graph(5)
+        assert nx.transitivity(G) == 1
+        G.remove_edge(1, 2)
+        assert nx.transitivity(G) == 0.875
+
+
+class TestSquareClustering:
+    def test_clustering(self):
+        G = nx.Graph()
+        assert list(nx.square_clustering(G).values()) == []
+        assert nx.square_clustering(G) == {}
+
+    def test_path(self):
+        G = nx.path_graph(10)
+        assert list(nx.square_clustering(G).values()) == [
+            0,
+            0,
+            0,
+            0,
+            0,
+            0,
+            0,
+            0,
+            0,
+            0,
+        ]
+        assert nx.square_clustering(G) == {
+            0: 0,
+            1: 0,
+            2: 0,
+            3: 0,
+            4: 0,
+            5: 0,
+            6: 0,
+            7: 0,
+            8: 0,
+            9: 0,
+        }
+
+    def test_cubical(self):
+        G = nx.cubical_graph()
+        assert list(nx.square_clustering(G).values()) == [
+            1 / 3,
+            1 / 3,
+            1 / 3,
+            1 / 3,
+            1 / 3,
+            1 / 3,
+            1 / 3,
+            1 / 3,
+        ]
+        assert list(nx.square_clustering(G, [1, 2]).values()) == [1 / 3, 1 / 3]
+        assert nx.square_clustering(G, [1])[1] == 1 / 3
+        assert nx.square_clustering(G, 1) == 1 / 3
+        assert nx.square_clustering(G, [1, 2]) == {1: 1 / 3, 2: 1 / 3}
+
+    def test_k5(self):
+        G = nx.complete_graph(5)
+        assert list(nx.square_clustering(G).values()) == [1, 1, 1, 1, 1]
+
+    def test_bipartite_k5(self):
+        G = nx.complete_bipartite_graph(5, 5)
+        assert list(nx.square_clustering(G).values()) == [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
+
+    def test_lind_square_clustering(self):
+        """Test C4 for figure 1 Lind et al (2005)"""
+        G = nx.Graph(
+            [
+                (1, 2),
+                (1, 3),
+                (1, 6),
+                (1, 7),
+                (2, 4),
+                (2, 5),
+                (3, 4),
+                (3, 5),
+                (6, 7),
+                (7, 8),
+                (6, 8),
+                (7, 9),
+                (7, 10),
+                (6, 11),
+                (6, 12),
+                (2, 13),
+                (2, 14),
+                (3, 15),
+                (3, 16),
+            ]
+        )
+        G1 = G.subgraph([1, 2, 3, 4, 5, 13, 14, 15, 16])
+        G2 = G.subgraph([1, 6, 7, 8, 9, 10, 11, 12])
+        assert nx.square_clustering(G, [1])[1] == 3 / 43
+        assert nx.square_clustering(G1, [1])[1] == 2 / 6
+        assert nx.square_clustering(G2, [1])[1] == 1 / 5
+
+    def test_peng_square_clustering(self):
+        """Test eq2 for figure 1 Peng et al (2008)"""
+        G = nx.Graph([(1, 2), (1, 3), (2, 4), (3, 4), (3, 5), (3, 6)])
+        assert nx.square_clustering(G, [1])[1] == 1 / 3
+
+    def test_self_loops_square_clustering(self):
+        G = nx.path_graph(5)
+        assert nx.square_clustering(G) == {0: 0, 1: 0.0, 2: 0.0, 3: 0.0, 4: 0}
+        G.add_edges_from([(0, 0), (1, 1), (2, 2)])
+        assert nx.square_clustering(G) == {0: 1, 1: 0.5, 2: 0.2, 3: 0.0, 4: 0}
+
+
+class TestAverageClustering:
+    @classmethod
+    def setup_class(cls):
+        pytest.importorskip("numpy")
+
+    def test_empty(self):
+        G = nx.Graph()
+        with pytest.raises(ZeroDivisionError):
+            nx.average_clustering(G)
+
+    def test_average_clustering(self):
+        G = nx.cycle_graph(3)
+        G.add_edge(2, 3)
+        assert nx.average_clustering(G) == (1 + 1 + 1 / 3) / 4
+        assert nx.average_clustering(G, count_zeros=True) == (1 + 1 + 1 / 3) / 4
+        assert nx.average_clustering(G, count_zeros=False) == (1 + 1 + 1 / 3) / 3
+        assert nx.average_clustering(G, [1, 2, 3]) == (1 + 1 / 3) / 3
+        assert nx.average_clustering(G, [1, 2, 3], count_zeros=True) == (1 + 1 / 3) / 3
+        assert nx.average_clustering(G, [1, 2, 3], count_zeros=False) == (1 + 1 / 3) / 2
+
+    def test_average_clustering_signed(self):
+        G = nx.cycle_graph(3)
+        G.add_edge(2, 3)
+        G.add_edge(0, 1, weight=-1)
+        assert nx.average_clustering(G, weight="weight") == (-1 - 1 - 1 / 3) / 4
+        assert (
+            nx.average_clustering(G, weight="weight", count_zeros=True)
+            == (-1 - 1 - 1 / 3) / 4
+        )
+        assert (
+            nx.average_clustering(G, weight="weight", count_zeros=False)
+            == (-1 - 1 - 1 / 3) / 3
+        )
+
+
+class TestDirectedAverageClustering:
+    @classmethod
+    def setup_class(cls):
+        pytest.importorskip("numpy")
+
+    def test_empty(self):
+        G = nx.DiGraph()
+        with pytest.raises(ZeroDivisionError):
+            nx.average_clustering(G)
+
+    def test_average_clustering(self):
+        G = nx.cycle_graph(3, create_using=nx.DiGraph())
+        G.add_edge(2, 3)
+        assert nx.average_clustering(G) == (1 + 1 + 1 / 3) / 8
+        assert nx.average_clustering(G, count_zeros=True) == (1 + 1 + 1 / 3) / 8
+        assert nx.average_clustering(G, count_zeros=False) == (1 + 1 + 1 / 3) / 6
+        assert nx.average_clustering(G, [1, 2, 3]) == (1 + 1 / 3) / 6
+        assert nx.average_clustering(G, [1, 2, 3], count_zeros=True) == (1 + 1 / 3) / 6
+        assert nx.average_clustering(G, [1, 2, 3], count_zeros=False) == (1 + 1 / 3) / 4
+
+
+class TestGeneralizedDegree:
+    def test_generalized_degree(self):
+        G = nx.Graph()
+        assert nx.generalized_degree(G) == {}
+
+    def test_path(self):
+        G = nx.path_graph(5)
+        assert nx.generalized_degree(G, 0) == {0: 1}
+        assert nx.generalized_degree(G, 1) == {0: 2}
+
+    def test_cubical(self):
+        G = nx.cubical_graph()
+        assert nx.generalized_degree(G, 0) == {0: 3}
+
+    def test_k5(self):
+        G = nx.complete_graph(5)
+        assert nx.generalized_degree(G, 0) == {3: 4}
+        G.remove_edge(0, 1)
+        assert nx.generalized_degree(G, 0) == {2: 3}
+        assert nx.generalized_degree(G, [1, 2]) == {1: {2: 3}, 2: {2: 2, 3: 2}}
+        assert nx.generalized_degree(G) == {
+            0: {2: 3},
+            1: {2: 3},
+            2: {2: 2, 3: 2},
+            3: {2: 2, 3: 2},
+            4: {2: 2, 3: 2},
+        }

valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_communicability.py

@@ -0,0 +1,80 @@
+from collections import defaultdict
+
+import pytest
+
+pytest.importorskip("numpy")
+pytest.importorskip("scipy")
+
+import networkx as nx
+from networkx.algorithms.communicability_alg import communicability, communicability_exp
+
+
+class TestCommunicability:
+    def test_communicability(self):
+        answer = {
+            0: {0: 1.5430806348152435, 1: 1.1752011936438012},
+            1: {0: 1.1752011936438012, 1: 1.5430806348152435},
+        }
+        #        answer={(0, 0): 1.5430806348152435,
+        #                (0, 1): 1.1752011936438012,
+        #                (1, 0): 1.1752011936438012,
+        #                (1, 1): 1.5430806348152435}
+
+        result = communicability(nx.path_graph(2))
+        for k1, val in result.items():
+            for k2 in val:
+                assert answer[k1][k2] == pytest.approx(result[k1][k2], abs=1e-7)
+
+    def test_communicability2(self):
+        answer_orig = {
+            ("1", "1"): 1.6445956054135658,
+            ("1", "Albert"): 0.7430186221096251,
+            ("1", "Aric"): 0.7430186221096251,
+            ("1", "Dan"): 1.6208126320442937,
+            ("1", "Franck"): 0.42639707170035257,
+            ("Albert", "1"): 0.7430186221096251,
+            ("Albert", "Albert"): 2.4368257358712189,
+            ("Albert", "Aric"): 1.4368257358712191,
+            ("Albert", "Dan"): 2.0472097037446453,
+            ("Albert", "Franck"): 1.8340111678944691,
+            ("Aric", "1"): 0.7430186221096251,
+            ("Aric", "Albert"): 1.4368257358712191,
+            ("Aric", "Aric"): 2.4368257358712193,
+            ("Aric", "Dan"): 2.0472097037446457,
+            ("Aric", "Franck"): 1.8340111678944691,
+            ("Dan", "1"): 1.6208126320442937,
+            ("Dan", "Albert"): 2.0472097037446453,
+            ("Dan", "Aric"): 2.0472097037446457,
+            ("Dan", "Dan"): 3.1306328496328168,
+            ("Dan", "Franck"): 1.4860372442192515,
+            ("Franck", "1"): 0.42639707170035257,
+            ("Franck", "Albert"): 1.8340111678944691,
+            ("Franck", "Aric"): 1.8340111678944691,
+            ("Franck", "Dan"): 1.4860372442192515,
+            ("Franck", "Franck"): 2.3876142275231915,
+        }
+
+        answer = defaultdict(dict)
+        for (k1, k2), v in answer_orig.items():
+            answer[k1][k2] = v
+
+        G1 = nx.Graph(
+            [
+                ("Franck", "Aric"),
+                ("Aric", "Dan"),
+                ("Dan", "Albert"),
+                ("Albert", "Franck"),
+                ("Dan", "1"),
+                ("Franck", "Albert"),
+            ]
+        )
+
+        result = communicability(G1)
+        for k1, val in result.items():
+            for k2 in val:
+                assert answer[k1][k2] == pytest.approx(result[k1][k2], abs=1e-7)
+
+        result = communicability_exp(G1)
+        for k1, val in result.items():
+            for k2 in val:
+                assert answer[k1][k2] == pytest.approx(result[k1][k2], abs=1e-7)

valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_covering.py

@@ -0,0 +1,85 @@
+import pytest
+
+import networkx as nx
+
+
+class TestMinEdgeCover:
+    """Tests for :func:`networkx.algorithms.min_edge_cover`"""
+
+    def test_empty_graph(self):
+        G = nx.Graph()
+        assert nx.min_edge_cover(G) == set()
+
+    def test_graph_with_loop(self):
+        G = nx.Graph()
+        G.add_edge(0, 0)
+        assert nx.min_edge_cover(G) == {(0, 0)}
+
+    def test_graph_with_isolated_v(self):
+        G = nx.Graph()
+        G.add_node(1)
+        with pytest.raises(
+            nx.NetworkXException,
+            match="Graph has a node with no edge incident on it, so no edge cover exists.",
+        ):
+            nx.min_edge_cover(G)
+
+    def test_graph_single_edge(self):
+        G = nx.Graph([(0, 1)])
+        assert nx.min_edge_cover(G) in ({(0, 1)}, {(1, 0)})
+
+    def test_graph_two_edge_path(self):
+        G = nx.path_graph(3)
+        min_cover = nx.min_edge_cover(G)
+        assert len(min_cover) == 2
+        for u, v in G.edges:
+            assert (u, v) in min_cover or (v, u) in min_cover
+
+    def test_bipartite_explicit(self):
+        G = nx.Graph()
+        G.add_nodes_from([1, 2, 3, 4], bipartite=0)
+        G.add_nodes_from(["a", "b", "c"], bipartite=1)
+        G.add_edges_from([(1, "a"), (1, "b"), (2, "b"), (2, "c"), (3, "c"), (4, "a")])
+        # Use bipartite method by prescribing the algorithm
+        min_cover = nx.min_edge_cover(
+            G, nx.algorithms.bipartite.matching.eppstein_matching
+        )
+        assert nx.is_edge_cover(G, min_cover)
+        assert len(min_cover) == 8
+        # Use the default method which is not specialized for bipartite
+        min_cover2 = nx.min_edge_cover(G)
+        assert nx.is_edge_cover(G, min_cover2)
+        assert len(min_cover2) == 4
+
+    def test_complete_graph_even(self):
+        G = nx.complete_graph(10)
+        min_cover = nx.min_edge_cover(G)
+        assert nx.is_edge_cover(G, min_cover)
+        assert len(min_cover) == 5
+
+    def test_complete_graph_odd(self):
+        G = nx.complete_graph(11)
+        min_cover = nx.min_edge_cover(G)
+        assert nx.is_edge_cover(G, min_cover)
+        assert len(min_cover) == 6
+
+
+class TestIsEdgeCover:
+    """Tests for :func:`networkx.algorithms.is_edge_cover`"""
+
+    def test_empty_graph(self):
+        G = nx.Graph()
+        assert nx.is_edge_cover(G, set())
+
+    def test_graph_with_loop(self):
+        G = nx.Graph()
+        G.add_edge(1, 1)
+        assert nx.is_edge_cover(G, {(1, 1)})
+
+    def test_graph_single_edge(self):
+        G = nx.Graph()
+        G.add_edge(0, 1)
+        assert nx.is_edge_cover(G, {(0, 0), (1, 1)})
+        assert nx.is_edge_cover(G, {(0, 1), (1, 0)})
+        assert nx.is_edge_cover(G, {(0, 1)})
+        assert not nx.is_edge_cover(G, {(0, 0)})

valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_cuts.py

@@ -0,0 +1,172 @@
+"""Unit tests for the :mod:`networkx.algorithms.cuts` module."""
+
+
+import networkx as nx
+
+
+class TestCutSize:
+    """Unit tests for the :func:`~networkx.cut_size` function."""
+
+    def test_symmetric(self):
+        """Tests that the cut size is symmetric."""
+        G = nx.barbell_graph(3, 0)
+        S = {0, 1, 4}
+        T = {2, 3, 5}
+        assert nx.cut_size(G, S, T) == 4
+        assert nx.cut_size(G, T, S) == 4
+
+    def test_single_edge(self):
+        """Tests for a cut of a single edge."""
+        G = nx.barbell_graph(3, 0)
+        S = {0, 1, 2}
+        T = {3, 4, 5}
+        assert nx.cut_size(G, S, T) == 1
+        assert nx.cut_size(G, T, S) == 1
+
+    def test_directed(self):
+        """Tests that each directed edge is counted once in the cut."""
+        G = nx.barbell_graph(3, 0).to_directed()
+        S = {0, 1, 2}
+        T = {3, 4, 5}
+        assert nx.cut_size(G, S, T) == 2
+        assert nx.cut_size(G, T, S) == 2
+
+    def test_directed_symmetric(self):
+        """Tests that a cut in a directed graph is symmetric."""
+        G = nx.barbell_graph(3, 0).to_directed()
+        S = {0, 1, 4}
+        T = {2, 3, 5}
+        assert nx.cut_size(G, S, T) == 8
+        assert nx.cut_size(G, T, S) == 8
+
+    def test_multigraph(self):
+        """Tests that parallel edges are each counted for a cut."""
+        G = nx.MultiGraph(["ab", "ab"])
+        assert nx.cut_size(G, {"a"}, {"b"}) == 2
+
+
+class TestVolume:
+    """Unit tests for the :func:`~networkx.volume` function."""
+
+    def test_graph(self):
+        G = nx.cycle_graph(4)
+        assert nx.volume(G, {0, 1}) == 4
+
+    def test_digraph(self):
+        G = nx.DiGraph([(0, 1), (1, 2), (2, 3), (3, 0)])
+        assert nx.volume(G, {0, 1}) == 2
+
+    def test_multigraph(self):
+        edges = list(nx.cycle_graph(4).edges())
+        G = nx.MultiGraph(edges * 2)
+        assert nx.volume(G, {0, 1}) == 8
+
+    def test_multidigraph(self):
+        edges = [(0, 1), (1, 2), (2, 3), (3, 0)]
+        G = nx.MultiDiGraph(edges * 2)
+        assert nx.volume(G, {0, 1}) == 4
+
+    def test_barbell(self):
+        G = nx.barbell_graph(3, 0)
+        assert nx.volume(G, {0, 1, 2}) == 7
+        assert nx.volume(G, {3, 4, 5}) == 7
+
+
+class TestNormalizedCutSize:
+    """Unit tests for the :func:`~networkx.normalized_cut_size` function."""
+
+    def test_graph(self):
+        G = nx.path_graph(4)
+        S = {1, 2}
+        T = set(G) - S
+        size = nx.normalized_cut_size(G, S, T)
+        # The cut looks like this: o-{-o--o-}-o
+        expected = 2 * ((1 / 4) + (1 / 2))
+        assert expected == size
+        # Test with no input T
+        assert expected == nx.normalized_cut_size(G, S)
+
+    def test_directed(self):
+        G = nx.DiGraph([(0, 1), (1, 2), (2, 3)])
+        S = {1, 2}
+        T = set(G) - S
+        size = nx.normalized_cut_size(G, S, T)
+        # The cut looks like this: o-{->o-->o-}->o
+        expected = 2 * ((1 / 2) + (1 / 1))
+        assert expected == size
+        # Test with no input T
+        assert expected == nx.normalized_cut_size(G, S)
+
+
+class TestConductance:
+    """Unit tests for the :func:`~networkx.conductance` function."""
+
+    def test_graph(self):
+        G = nx.barbell_graph(5, 0)
+        # Consider the singleton sets containing the "bridge" nodes.
+        # There is only one cut edge, and each set has volume five.
+        S = {4}
+        T = {5}
+        conductance = nx.conductance(G, S, T)
+        expected = 1 / 5
+        assert expected == conductance
+        # Test with no input T
+        G2 = nx.barbell_graph(3, 0)
+        # There is only one cut edge, and each set has volume seven.
+        S2 = {0, 1, 2}
+        assert nx.conductance(G2, S2) == 1 / 7
+
+
+class TestEdgeExpansion:
+    """Unit tests for the :func:`~networkx.edge_expansion` function."""
+
+    def test_graph(self):
+        G = nx.barbell_graph(5, 0)
+        S = set(range(5))
+        T = set(G) - S
+        expansion = nx.edge_expansion(G, S, T)
+        expected = 1 / 5
+        assert expected == expansion
+        # Test with no input T
+        assert expected == nx.edge_expansion(G, S)
+
+
+class TestNodeExpansion:
+    """Unit tests for the :func:`~networkx.node_expansion` function."""
+
+    def test_graph(self):
+        G = nx.path_graph(8)
+        S = {3, 4, 5}
+        expansion = nx.node_expansion(G, S)
+        # The neighborhood of S has cardinality five, and S has
+        # cardinality three.
+        expected = 5 / 3
+        assert expected == expansion
+
+
+class TestBoundaryExpansion:
+    """Unit tests for the :func:`~networkx.boundary_expansion` function."""
+
+    def test_graph(self):
+        G = nx.complete_graph(10)
+        S = set(range(4))
+        expansion = nx.boundary_expansion(G, S)
+        # The node boundary of S has cardinality six, and S has
+        # cardinality three.
+        expected = 6 / 4
+        assert expected == expansion
+
+
+class TestMixingExpansion:
+    """Unit tests for the :func:`~networkx.mixing_expansion` function."""
+
+    def test_graph(self):
+        G = nx.barbell_graph(5, 0)
+        S = set(range(5))
+        T = set(G) - S
+        expansion = nx.mixing_expansion(G, S, T)
+        # There is one cut edge, and the total number of edges in the
+        # graph is twice the total number of edges in a clique of size
+        # five, plus one more for the bridge.
+        expected = 1 / (2 * (5 * 4 + 1))
+        assert expected == expansion

valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_d_separation.py

@@ -0,0 +1,348 @@
+from itertools import combinations
+
+import pytest
+
+import networkx as nx
+
+
+def path_graph():
+    """Return a path graph of length three."""
+    G = nx.path_graph(3, create_using=nx.DiGraph)
+    G.graph["name"] = "path"
+    nx.freeze(G)
+    return G
+
+
+def fork_graph():
+    """Return a three node fork graph."""
+    G = nx.DiGraph(name="fork")
+    G.add_edges_from([(0, 1), (0, 2)])
+    nx.freeze(G)
+    return G
+
+
+def collider_graph():
+    """Return a collider/v-structure graph with three nodes."""
+    G = nx.DiGraph(name="collider")
+    G.add_edges_from([(0, 2), (1, 2)])
+    nx.freeze(G)
+    return G
+
+
+def naive_bayes_graph():
+    """Return a simply Naive Bayes PGM graph."""
+    G = nx.DiGraph(name="naive_bayes")
+    G.add_edges_from([(0, 1), (0, 2), (0, 3), (0, 4)])
+    nx.freeze(G)
+    return G
+
+
+def asia_graph():
+    """Return the 'Asia' PGM graph."""
+    G = nx.DiGraph(name="asia")
+    G.add_edges_from(
+        [
+            ("asia", "tuberculosis"),
+            ("smoking", "cancer"),
+            ("smoking", "bronchitis"),
+            ("tuberculosis", "either"),
+            ("cancer", "either"),
+            ("either", "xray"),
+            ("either", "dyspnea"),
+            ("bronchitis", "dyspnea"),
+        ]
+    )
+    nx.freeze(G)
+    return G
+
+
+@pytest.fixture(name="path_graph")
+def path_graph_fixture():
+    return path_graph()
+
+
+@pytest.fixture(name="fork_graph")
+def fork_graph_fixture():
+    return fork_graph()
+
+
+@pytest.fixture(name="collider_graph")
+def collider_graph_fixture():
+    return collider_graph()
+
+
+@pytest.fixture(name="naive_bayes_graph")
+def naive_bayes_graph_fixture():
+    return naive_bayes_graph()
+
+
+@pytest.fixture(name="asia_graph")
+def asia_graph_fixture():
+    return asia_graph()
+
+
+@pytest.fixture()
+def large_collider_graph():
+    edge_list = [("A", "B"), ("C", "B"), ("B", "D"), ("D", "E"), ("B", "F"), ("G", "E")]
+    G = nx.DiGraph(edge_list)
+    return G
+
+
+@pytest.fixture()
+def chain_and_fork_graph():
+    edge_list = [("A", "B"), ("B", "C"), ("B", "D"), ("D", "C")]
+    G = nx.DiGraph(edge_list)
+    return G
+
+
+@pytest.fixture()
+def no_separating_set_graph():
+    edge_list = [("A", "B")]
+    G = nx.DiGraph(edge_list)
+    return G
+
+
+@pytest.fixture()
+def large_no_separating_set_graph():
+    edge_list = [("A", "B"), ("C", "A"), ("C", "B")]
+    G = nx.DiGraph(edge_list)
+    return G
+
+
+@pytest.fixture()
+def collider_trek_graph():
+    edge_list = [("A", "B"), ("C", "B"), ("C", "D")]
+    G = nx.DiGraph(edge_list)
+    return G
+
+
+@pytest.mark.parametrize(
+    "graph",
+    [path_graph(), fork_graph(), collider_graph(), naive_bayes_graph(), asia_graph()],
+)
+def test_markov_condition(graph):
+    """Test that the Markov condition holds for each PGM graph."""
+    for node in graph.nodes:
+        parents = set(graph.predecessors(node))
+        non_descendants = graph.nodes - nx.descendants(graph, node) - {node} - parents
+        assert nx.is_d_separator(graph, {node}, non_descendants, parents)
+
+
+def test_path_graph_dsep(path_graph):
+    """Example-based test of d-separation for path_graph."""
+    assert nx.is_d_separator(path_graph, {0}, {2}, {1})
+    assert not nx.is_d_separator(path_graph, {0}, {2}, set())
+
+
+def test_fork_graph_dsep(fork_graph):
+    """Example-based test of d-separation for fork_graph."""
+    assert nx.is_d_separator(fork_graph, {1}, {2}, {0})
+    assert not nx.is_d_separator(fork_graph, {1}, {2}, set())
+
+
+def test_collider_graph_dsep(collider_graph):
+    """Example-based test of d-separation for collider_graph."""
+    assert nx.is_d_separator(collider_graph, {0}, {1}, set())
+    assert not nx.is_d_separator(collider_graph, {0}, {1}, {2})
+
+
+def test_naive_bayes_dsep(naive_bayes_graph):
+    """Example-based test of d-separation for naive_bayes_graph."""
+    for u, v in combinations(range(1, 5), 2):
+        assert nx.is_d_separator(naive_bayes_graph, {u}, {v}, {0})
+        assert not nx.is_d_separator(naive_bayes_graph, {u}, {v}, set())
+
+
+def test_asia_graph_dsep(asia_graph):
+    """Example-based test of d-separation for asia_graph."""
+    assert nx.is_d_separator(
+        asia_graph, {"asia", "smoking"}, {"dyspnea", "xray"}, {"bronchitis", "either"}
+    )
+    assert nx.is_d_separator(
+        asia_graph, {"tuberculosis", "cancer"}, {"bronchitis"}, {"smoking", "xray"}
+    )
+
+
+def test_undirected_graphs_are_not_supported():
+    """
+    Test that undirected graphs are not supported.
+
+    d-separation and its related algorithms do not apply in
+    the case of undirected graphs.
+    """
+    g = nx.path_graph(3, nx.Graph)
+    with pytest.raises(nx.NetworkXNotImplemented):
+        nx.is_d_separator(g, {0}, {1}, {2})
+    with pytest.raises(nx.NetworkXNotImplemented):
+        nx.is_minimal_d_separator(g, {0}, {1}, {2})
+    with pytest.raises(nx.NetworkXNotImplemented):
+        nx.find_minimal_d_separator(g, {0}, {1})
+
+
+def test_cyclic_graphs_raise_error():
+    """
+    Test that cycle graphs should cause erroring.
+
+    This is because PGMs assume a directed acyclic graph.
+    """
+    g = nx.cycle_graph(3, nx.DiGraph)
+    with pytest.raises(nx.NetworkXError):
+        nx.is_d_separator(g, {0}, {1}, {2})
+    with pytest.raises(nx.NetworkXError):
+        nx.find_minimal_d_separator(g, {0}, {1})
+    with pytest.raises(nx.NetworkXError):
+        nx.is_minimal_d_separator(g, {0}, {1}, {2})
+
+
+def test_invalid_nodes_raise_error(asia_graph):
+    """
+    Test that graphs that have invalid nodes passed in raise errors.
+    """
+    # Check both set and node arguments
+    with pytest.raises(nx.NodeNotFound):
+        nx.is_d_separator(asia_graph, {0}, {1}, {2})
+    with pytest.raises(nx.NodeNotFound):
+        nx.is_d_separator(asia_graph, 0, 1, 2)
+    with pytest.raises(nx.NodeNotFound):
+        nx.is_minimal_d_separator(asia_graph, {0}, {1}, {2})
+    with pytest.raises(nx.NodeNotFound):
+        nx.is_minimal_d_separator(asia_graph, 0, 1, 2)
+    with pytest.raises(nx.NodeNotFound):
+        nx.find_minimal_d_separator(asia_graph, {0}, {1})
+    with pytest.raises(nx.NodeNotFound):
+        nx.find_minimal_d_separator(asia_graph, 0, 1)
+
+
+def test_nondisjoint_node_sets_raise_error(collider_graph):
+    """
+    Test that error is raised when node sets aren't disjoint.
+    """
+    with pytest.raises(nx.NetworkXError):
+        nx.is_d_separator(collider_graph, 0, 1, 0)
+    with pytest.raises(nx.NetworkXError):
+        nx.is_d_separator(collider_graph, 0, 2, 0)
+    with pytest.raises(nx.NetworkXError):
+        nx.is_d_separator(collider_graph, 0, 0, 1)
+    with pytest.raises(nx.NetworkXError):
+        nx.is_d_separator(collider_graph, 1, 0, 0)
+    with pytest.raises(nx.NetworkXError):
+        nx.find_minimal_d_separator(collider_graph, 0, 0)
+    with pytest.raises(nx.NetworkXError):
+        nx.find_minimal_d_separator(collider_graph, 0, 1, included=0)
+    with pytest.raises(nx.NetworkXError):
+        nx.find_minimal_d_separator(collider_graph, 1, 0, included=0)
+    with pytest.raises(nx.NetworkXError):
+        nx.is_minimal_d_separator(collider_graph, 0, 0, set())
+    with pytest.raises(nx.NetworkXError):
+        nx.is_minimal_d_separator(collider_graph, 0, 1, set(), included=0)
+    with pytest.raises(nx.NetworkXError):
+        nx.is_minimal_d_separator(collider_graph, 1, 0, set(), included=0)
+
+
+def test_is_minimal_d_separator(
+    large_collider_graph,
+    chain_and_fork_graph,
+    no_separating_set_graph,
+    large_no_separating_set_graph,
+    collider_trek_graph,
+):
+    # Case 1:
+    # create a graph A -> B <- C
+    # B -> D -> E;
+    # B -> F;
+    # G -> E;
+    assert not nx.is_d_separator(large_collider_graph, {"B"}, {"E"}, set())
+
+    # minimal set of the corresponding graph
+    # for B and E should be (D,)
+    Zmin = nx.find_minimal_d_separator(large_collider_graph, "B", "E")
+    # check that the minimal d-separator is a d-separating set
+    assert nx.is_d_separator(large_collider_graph, "B", "E", Zmin)
+    # the minimal separating set should also pass the test for minimality
+    assert nx.is_minimal_d_separator(large_collider_graph, "B", "E", Zmin)
+    # function should also work with set arguments
+    assert nx.is_minimal_d_separator(large_collider_graph, {"A", "B"}, {"G", "E"}, Zmin)
+    assert Zmin == {"D"}
+
+    # Case 2:
+    # create a graph A -> B -> C
+    # B -> D -> C;
+    assert not nx.is_d_separator(chain_and_fork_graph, {"A"}, {"C"}, set())
+    Zmin = nx.find_minimal_d_separator(chain_and_fork_graph, "A", "C")
+
+    # the minimal separating set should pass the test for minimality
+    assert nx.is_minimal_d_separator(chain_and_fork_graph, "A", "C", Zmin)
+    assert Zmin == {"B"}
+    Znotmin = Zmin.union({"D"})
+    assert not nx.is_minimal_d_separator(chain_and_fork_graph, "A", "C", Znotmin)
+
+    # Case 3:
+    # create a graph A -> B
+
+    # there is no m-separating set between A and B at all, so
+    # no minimal m-separating set can exist
+    assert not nx.is_d_separator(no_separating_set_graph, {"A"}, {"B"}, set())
+    assert nx.find_minimal_d_separator(no_separating_set_graph, "A", "B") is None
+
+    # Case 4:
+    # create a graph A -> B with A <- C -> B
+
+    # there is no m-separating set between A and B at all, so
+    # no minimal m-separating set can exist
+    # however, the algorithm will initially propose C as a
+    # minimal (but invalid) separating set
+    assert not nx.is_d_separator(large_no_separating_set_graph, {"A"}, {"B"}, {"C"})
+    assert nx.find_minimal_d_separator(large_no_separating_set_graph, "A", "B") is None
+
+    # Test `included` and `excluded` args
+    # create graph A -> B <- C -> D
+    assert nx.find_minimal_d_separator(collider_trek_graph, "A", "D", included="B") == {
+        "B",
+        "C",
+    }
+    assert (
+        nx.find_minimal_d_separator(
+            collider_trek_graph, "A", "D", included="B", restricted="B"
+        )
+        is None
+    )
+
+
+def test_is_minimal_d_separator_checks_dsep():
+    """Test that is_minimal_d_separator checks for d-separation as well."""
+    g = nx.DiGraph()
+    g.add_edges_from(
+        [
+            ("A", "B"),
+            ("A", "E"),
+            ("B", "C"),
+            ("B", "D"),
+            ("D", "C"),
+            ("D", "F"),
+            ("E", "D"),
+            ("E", "F"),
+        ]
+    )
+
+    assert not nx.is_d_separator(g, {"C"}, {"F"}, {"D"})
+
+    # since {'D'} and {} are not d-separators, we return false
+    assert not nx.is_minimal_d_separator(g, "C", "F", {"D"})
+    assert not nx.is_minimal_d_separator(g, "C", "F", set())
+
+
+def test__reachable(large_collider_graph):
+    reachable = nx.algorithms.d_separation._reachable
+    g = large_collider_graph
+    x = {"F", "D"}
+    ancestors = {"A", "B", "C", "D", "F"}
+    assert reachable(g, x, ancestors, {"B"}) == {"B", "F", "D"}
+    assert reachable(g, x, ancestors, set()) == ancestors
+
+
+def test_deprecations():
+    G = nx.DiGraph([(0, 1), (1, 2)])
+    with pytest.deprecated_call():
+        nx.d_separated(G, 0, 2, {1})
+    with pytest.deprecated_call():
+        z = nx.minimal_d_separator(G, 0, 2)

valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_euler.py

@@ -0,0 +1,314 @@
+import collections
+
+import pytest
+
+import networkx as nx
+
+
+@pytest.mark.parametrize("f", (nx.is_eulerian, nx.is_semieulerian))
+def test_empty_graph_raises(f):
+    G = nx.Graph()
+    with pytest.raises(nx.NetworkXPointlessConcept, match="Connectivity is undefined"):
+        f(G)
+
+
+class TestIsEulerian:
+    def test_is_eulerian(self):
+        assert nx.is_eulerian(nx.complete_graph(5))
+        assert nx.is_eulerian(nx.complete_graph(7))
+        assert nx.is_eulerian(nx.hypercube_graph(4))
+        assert nx.is_eulerian(nx.hypercube_graph(6))
+
+        assert not nx.is_eulerian(nx.complete_graph(4))
+        assert not nx.is_eulerian(nx.complete_graph(6))
+        assert not nx.is_eulerian(nx.hypercube_graph(3))
+        assert not nx.is_eulerian(nx.hypercube_graph(5))
+
+        assert not nx.is_eulerian(nx.petersen_graph())
+        assert not nx.is_eulerian(nx.path_graph(4))
+
+    def test_is_eulerian2(self):
+        # not connected
+        G = nx.Graph()
+        G.add_nodes_from([1, 2, 3])
+        assert not nx.is_eulerian(G)
+        # not strongly connected
+        G = nx.DiGraph()
+        G.add_nodes_from([1, 2, 3])
+        assert not nx.is_eulerian(G)
+        G = nx.MultiDiGraph()
+        G.add_edge(1, 2)
+        G.add_edge(2, 3)
+        G.add_edge(2, 3)
+        G.add_edge(3, 1)
+        assert not nx.is_eulerian(G)
+
+
+class TestEulerianCircuit:
+    def test_eulerian_circuit_cycle(self):
+        G = nx.cycle_graph(4)
+
+        edges = list(nx.eulerian_circuit(G, source=0))
+        nodes = [u for u, v in edges]
+        assert nodes == [0, 3, 2, 1]
+        assert edges == [(0, 3), (3, 2), (2, 1), (1, 0)]
+
+        edges = list(nx.eulerian_circuit(G, source=1))
+        nodes = [u for u, v in edges]
+        assert nodes == [1, 2, 3, 0]
+        assert edges == [(1, 2), (2, 3), (3, 0), (0, 1)]
+
+        G = nx.complete_graph(3)
+
+        edges = list(nx.eulerian_circuit(G, source=0))
+        nodes = [u for u, v in edges]
+        assert nodes == [0, 2, 1]
+        assert edges == [(0, 2), (2, 1), (1, 0)]
+
+        edges = list(nx.eulerian_circuit(G, source=1))
+        nodes = [u for u, v in edges]
+        assert nodes == [1, 2, 0]
+        assert edges == [(1, 2), (2, 0), (0, 1)]
+
+    def test_eulerian_circuit_digraph(self):
+        G = nx.DiGraph()
+        nx.add_cycle(G, [0, 1, 2, 3])
+
+        edges = list(nx.eulerian_circuit(G, source=0))
+        nodes = [u for u, v in edges]
+        assert nodes == [0, 1, 2, 3]
+        assert edges == [(0, 1), (1, 2), (2, 3), (3, 0)]
+
+        edges = list(nx.eulerian_circuit(G, source=1))
+        nodes = [u for u, v in edges]
+        assert nodes == [1, 2, 3, 0]
+        assert edges == [(1, 2), (2, 3), (3, 0), (0, 1)]
+
+    def test_multigraph(self):
+        G = nx.MultiGraph()
+        nx.add_cycle(G, [0, 1, 2, 3])
+        G.add_edge(1, 2)
+        G.add_edge(1, 2)
+        edges = list(nx.eulerian_circuit(G, source=0))
+        nodes = [u for u, v in edges]
+        assert nodes == [0, 3, 2, 1, 2, 1]
+        assert edges == [(0, 3), (3, 2), (2, 1), (1, 2), (2, 1), (1, 0)]
+
+    def test_multigraph_with_keys(self):
+        G = nx.MultiGraph()
+        nx.add_cycle(G, [0, 1, 2, 3])
+        G.add_edge(1, 2)
+        G.add_edge(1, 2)
+        edges = list(nx.eulerian_circuit(G, source=0, keys=True))
+        nodes = [u for u, v, k in edges]
+        assert nodes == [0, 3, 2, 1, 2, 1]
+        assert edges[:2] == [(0, 3, 0), (3, 2, 0)]
+        assert collections.Counter(edges[2:5]) == collections.Counter(
+            [(2, 1, 0), (1, 2, 1), (2, 1, 2)]
+        )
+        assert edges[5:] == [(1, 0, 0)]
+
+    def test_not_eulerian(self):
+        with pytest.raises(nx.NetworkXError):
+            f = list(nx.eulerian_circuit(nx.complete_graph(4)))
+
+
+class TestIsSemiEulerian:
+    def test_is_semieulerian(self):
+        # Test graphs with Eulerian paths but no cycles return True.
+        assert nx.is_semieulerian(nx.path_graph(4))
+        G = nx.path_graph(6, create_using=nx.DiGraph)
+        assert nx.is_semieulerian(G)
+
+        # Test graphs with Eulerian cycles return False.
+        assert not nx.is_semieulerian(nx.complete_graph(5))
+        assert not nx.is_semieulerian(nx.complete_graph(7))
+        assert not nx.is_semieulerian(nx.hypercube_graph(4))
+        assert not nx.is_semieulerian(nx.hypercube_graph(6))
+
+
+class TestHasEulerianPath:
+    def test_has_eulerian_path_cyclic(self):
+        # Test graphs with Eulerian cycles return True.
+        assert nx.has_eulerian_path(nx.complete_graph(5))
+        assert nx.has_eulerian_path(nx.complete_graph(7))
+        assert nx.has_eulerian_path(nx.hypercube_graph(4))
+        assert nx.has_eulerian_path(nx.hypercube_graph(6))
+
+    def test_has_eulerian_path_non_cyclic(self):
+        # Test graphs with Eulerian paths but no cycles return True.
+        assert nx.has_eulerian_path(nx.path_graph(4))
+        G = nx.path_graph(6, create_using=nx.DiGraph)
+        assert nx.has_eulerian_path(G)
+
+    def test_has_eulerian_path_directed_graph(self):
+        # Test directed graphs and returns False
+        G = nx.DiGraph()
+        G.add_edges_from([(0, 1), (1, 2), (0, 2)])
+        assert not nx.has_eulerian_path(G)
+
+        # Test directed graphs without isolated node returns True
+        G = nx.DiGraph()
+        G.add_edges_from([(0, 1), (1, 2), (2, 0)])
+        assert nx.has_eulerian_path(G)
+
+        # Test directed graphs with isolated node returns False
+        G.add_node(3)
+        assert not nx.has_eulerian_path(G)
+
+    @pytest.mark.parametrize("G", (nx.Graph(), nx.DiGraph()))
+    def test_has_eulerian_path_not_weakly_connected(self, G):
+        G.add_edges_from([(0, 1), (2, 3), (3, 2)])
+        assert not nx.has_eulerian_path(G)
+
+    @pytest.mark.parametrize("G", (nx.Graph(), nx.DiGraph()))
+    def test_has_eulerian_path_unbalancedins_more_than_one(self, G):
+        G.add_edges_from([(0, 1), (2, 3)])
+        assert not nx.has_eulerian_path(G)
+
+
+class TestFindPathStart:
+    def testfind_path_start(self):
+        find_path_start = nx.algorithms.euler._find_path_start
+        # Test digraphs return correct starting node.
+        G = nx.path_graph(6, create_using=nx.DiGraph)
+        assert find_path_start(G) == 0
+        edges = [(0, 1), (1, 2), (2, 0), (4, 0)]
+        assert find_path_start(nx.DiGraph(edges)) == 4
+
+        # Test graph with no Eulerian path return None.
+        edges = [(0, 1), (1, 2), (2, 3), (2, 4)]
+        assert find_path_start(nx.DiGraph(edges)) is None
+
+
+class TestEulerianPath:
+    def test_eulerian_path(self):
+        x = [(4, 0), (0, 1), (1, 2), (2, 0)]
+        for e1, e2 in zip(x, nx.eulerian_path(nx.DiGraph(x))):
+            assert e1 == e2
+
+    def test_eulerian_path_straight_link(self):
+        G = nx.DiGraph()
+        result = [(1, 2), (2, 3), (3, 4), (4, 5)]
+        G.add_edges_from(result)
+        assert result == list(nx.eulerian_path(G))
+        assert result == list(nx.eulerian_path(G, source=1))
+        with pytest.raises(nx.NetworkXError):
+            list(nx.eulerian_path(G, source=3))
+        with pytest.raises(nx.NetworkXError):
+            list(nx.eulerian_path(G, source=4))
+        with pytest.raises(nx.NetworkXError):
+            list(nx.eulerian_path(G, source=5))
+
+    def test_eulerian_path_multigraph(self):
+        G = nx.MultiDiGraph()
+        result = [(2, 1), (1, 2), (2, 1), (1, 2), (2, 3), (3, 4), (4, 3)]
+        G.add_edges_from(result)
+        assert result == list(nx.eulerian_path(G))
+        assert result == list(nx.eulerian_path(G, source=2))
+        with pytest.raises(nx.NetworkXError):
+            list(nx.eulerian_path(G, source=3))
+        with pytest.raises(nx.NetworkXError):
+            list(nx.eulerian_path(G, source=4))
+
+    def test_eulerian_path_eulerian_circuit(self):
+        G = nx.DiGraph()
+        result = [(1, 2), (2, 3), (3, 4), (4, 1)]
+        result2 = [(2, 3), (3, 4), (4, 1), (1, 2)]
+        result3 = [(3, 4), (4, 1), (1, 2), (2, 3)]
+        G.add_edges_from(result)
+        assert result == list(nx.eulerian_path(G))
+        assert result == list(nx.eulerian_path(G, source=1))
+        assert result2 == list(nx.eulerian_path(G, source=2))
+        assert result3 == list(nx.eulerian_path(G, source=3))
+
+    def test_eulerian_path_undirected(self):
+        G = nx.Graph()
+        result = [(1, 2), (2, 3), (3, 4), (4, 5)]
+        result2 = [(5, 4), (4, 3), (3, 2), (2, 1)]
+        G.add_edges_from(result)
+        assert list(nx.eulerian_path(G)) in (result, result2)
+        assert result == list(nx.eulerian_path(G, source=1))
+        assert result2 == list(nx.eulerian_path(G, source=5))
+        with pytest.raises(nx.NetworkXError):
+            list(nx.eulerian_path(G, source=3))
+        with pytest.raises(nx.NetworkXError):
+            list(nx.eulerian_path(G, source=2))
+
+    def test_eulerian_path_multigraph_undirected(self):
+        G = nx.MultiGraph()
+        result = [(2, 1), (1, 2), (2, 1), (1, 2), (2, 3), (3, 4)]
+        G.add_edges_from(result)
+        assert result == list(nx.eulerian_path(G))
+        assert result == list(nx.eulerian_path(G, source=2))
+        with pytest.raises(nx.NetworkXError):
+            list(nx.eulerian_path(G, source=3))
+        with pytest.raises(nx.NetworkXError):
+            list(nx.eulerian_path(G, source=1))
+
+    @pytest.mark.parametrize(
+        ("graph_type", "result"),
+        (
+            (nx.MultiGraph, [(0, 1, 0), (1, 0, 1)]),
+            (nx.MultiDiGraph, [(0, 1, 0), (1, 0, 0)]),
+        ),
+    )
+    def test_eulerian_with_keys(self, graph_type, result):
+        G = graph_type([(0, 1), (1, 0)])
+        answer = nx.eulerian_path(G, keys=True)
+        assert list(answer) == result
+
+
+class TestEulerize:
+    def test_disconnected(self):
+        with pytest.raises(nx.NetworkXError):
+            G = nx.from_edgelist([(0, 1), (2, 3)])
+            nx.eulerize(G)
+
+    def test_null_graph(self):
+        with pytest.raises(nx.NetworkXPointlessConcept):
+            nx.eulerize(nx.Graph())
+
+    def test_null_multigraph(self):
+        with pytest.raises(nx.NetworkXPointlessConcept):
+            nx.eulerize(nx.MultiGraph())
+
+    def test_on_empty_graph(self):
+        with pytest.raises(nx.NetworkXError):
+            nx.eulerize(nx.empty_graph(3))
+
+    def test_on_eulerian(self):
+        G = nx.cycle_graph(3)
+        H = nx.eulerize(G)
+        assert nx.is_isomorphic(G, H)
+
+    def test_on_eulerian_multigraph(self):
+        G = nx.MultiGraph(nx.cycle_graph(3))
+        G.add_edge(0, 1)
+        H = nx.eulerize(G)
+        assert nx.is_eulerian(H)
+
+    def test_on_complete_graph(self):
+        G = nx.complete_graph(4)
+        assert nx.is_eulerian(nx.eulerize(G))
+        assert nx.is_eulerian(nx.eulerize(nx.MultiGraph(G)))
+
+    def test_on_non_eulerian_graph(self):
+        G = nx.cycle_graph(18)
+        G.add_edge(0, 18)
+        G.add_edge(18, 19)
+        G.add_edge(17, 19)
+        G.add_edge(4, 20)
+        G.add_edge(20, 21)
+        G.add_edge(21, 22)
+        G.add_edge(22, 23)
+        G.add_edge(23, 24)
+        G.add_edge(24, 25)
+        G.add_edge(25, 26)
+        G.add_edge(26, 27)
+        G.add_edge(27, 28)
+        G.add_edge(28, 13)
+        assert not nx.is_eulerian(G)
+        G = nx.eulerize(G)
+        assert nx.is_eulerian(G)
+        assert nx.number_of_edges(G) == 39

valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_graph_hashing.py

@@ -0,0 +1,686 @@
+import pytest
+
+import networkx as nx
+from networkx.generators import directed
+
+# Unit tests for the :func:`~networkx.weisfeiler_lehman_graph_hash` function
+
+
+def test_empty_graph_hash():
+    """
+    empty graphs should give hashes regardless of other params
+    """
+    G1 = nx.empty_graph()
+    G2 = nx.empty_graph()
+
+    h1 = nx.weisfeiler_lehman_graph_hash(G1)
+    h2 = nx.weisfeiler_lehman_graph_hash(G2)
+    h3 = nx.weisfeiler_lehman_graph_hash(G2, edge_attr="edge_attr1")
+    h4 = nx.weisfeiler_lehman_graph_hash(G2, node_attr="node_attr1")
+    h5 = nx.weisfeiler_lehman_graph_hash(
+        G2, edge_attr="edge_attr1", node_attr="node_attr1"
+    )
+    h6 = nx.weisfeiler_lehman_graph_hash(G2, iterations=10)
+
+    assert h1 == h2
+    assert h1 == h3
+    assert h1 == h4
+    assert h1 == h5
+    assert h1 == h6
+
+
+def test_directed():
+    """
+    A directed graph with no bi-directional edges should yield different a graph hash
+    to the same graph taken as undirected if there are no hash collisions.
+    """
+    r = 10
+    for i in range(r):
+        G_directed = nx.gn_graph(10 + r, seed=100 + i)
+        G_undirected = nx.to_undirected(G_directed)
+
+        h_directed = nx.weisfeiler_lehman_graph_hash(G_directed)
+        h_undirected = nx.weisfeiler_lehman_graph_hash(G_undirected)
+
+        assert h_directed != h_undirected
+
+
+def test_reversed():
+    """
+    A directed graph with no bi-directional edges should yield different a graph hash
+    to the same graph taken with edge directions reversed if there are no hash collisions.
+    Here we test a cycle graph which is the minimal counterexample
+    """
+    G = nx.cycle_graph(5, create_using=nx.DiGraph)
+    nx.set_node_attributes(G, {n: str(n) for n in G.nodes()}, name="label")
+
+    G_reversed = G.reverse()
+
+    h = nx.weisfeiler_lehman_graph_hash(G, node_attr="label")
+    h_reversed = nx.weisfeiler_lehman_graph_hash(G_reversed, node_attr="label")
+
+    assert h != h_reversed
+
+
+def test_isomorphic():
+    """
+    graph hashes should be invariant to node-relabeling (when the output is reindexed
+    by the same mapping)
+    """
+    n, r = 100, 10
+    p = 1.0 / r
+    for i in range(1, r + 1):
+        G1 = nx.erdos_renyi_graph(n, p * i, seed=200 + i)
+        G2 = nx.relabel_nodes(G1, {u: -1 * u for u in G1.nodes()})
+
+        g1_hash = nx.weisfeiler_lehman_graph_hash(G1)
+        g2_hash = nx.weisfeiler_lehman_graph_hash(G2)
+
+        assert g1_hash == g2_hash
+
+
+def test_isomorphic_edge_attr():
+    """
+    Isomorphic graphs with differing edge attributes should yield different graph
+    hashes if the 'edge_attr' argument is supplied and populated in the graph,
+    and there are no hash collisions.
+    The output should still be invariant to node-relabeling
+    """
+    n, r = 100, 10
+    p = 1.0 / r
+    for i in range(1, r + 1):
+        G1 = nx.erdos_renyi_graph(n, p * i, seed=300 + i)
+
+        for a, b in G1.edges:
+            G1[a][b]["edge_attr1"] = f"{a}-{b}-1"
+            G1[a][b]["edge_attr2"] = f"{a}-{b}-2"
+
+        g1_hash_with_edge_attr1 = nx.weisfeiler_lehman_graph_hash(
+            G1, edge_attr="edge_attr1"
+        )
+        g1_hash_with_edge_attr2 = nx.weisfeiler_lehman_graph_hash(
+            G1, edge_attr="edge_attr2"
+        )
+        g1_hash_no_edge_attr = nx.weisfeiler_lehman_graph_hash(G1, edge_attr=None)
+
+        assert g1_hash_with_edge_attr1 != g1_hash_no_edge_attr
+        assert g1_hash_with_edge_attr2 != g1_hash_no_edge_attr
+        assert g1_hash_with_edge_attr1 != g1_hash_with_edge_attr2
+
+        G2 = nx.relabel_nodes(G1, {u: -1 * u for u in G1.nodes()})
+
+        g2_hash_with_edge_attr1 = nx.weisfeiler_lehman_graph_hash(
+            G2, edge_attr="edge_attr1"
+        )
+        g2_hash_with_edge_attr2 = nx.weisfeiler_lehman_graph_hash(
+            G2, edge_attr="edge_attr2"
+        )
+
+        assert g1_hash_with_edge_attr1 == g2_hash_with_edge_attr1
+        assert g1_hash_with_edge_attr2 == g2_hash_with_edge_attr2
+
+
+def test_missing_edge_attr():
+    """
+    If the 'edge_attr' argument is supplied but is missing from an edge in the graph,
+    we should raise a KeyError
+    """
+    G = nx.Graph()
+    G.add_edges_from([(1, 2, {"edge_attr1": "a"}), (1, 3, {})])
+    pytest.raises(KeyError, nx.weisfeiler_lehman_graph_hash, G, edge_attr="edge_attr1")
+
+
+def test_isomorphic_node_attr():
+    """
+    Isomorphic graphs with differing node attributes should yield different graph
+    hashes if the 'node_attr' argument is supplied and populated in the graph, and
+    there are no hash collisions.
+    The output should still be invariant to node-relabeling
+    """
+    n, r = 100, 10
+    p = 1.0 / r
+    for i in range(1, r + 1):
+        G1 = nx.erdos_renyi_graph(n, p * i, seed=400 + i)
+
+        for u in G1.nodes():
+            G1.nodes[u]["node_attr1"] = f"{u}-1"
+            G1.nodes[u]["node_attr2"] = f"{u}-2"
+
+        g1_hash_with_node_attr1 = nx.weisfeiler_lehman_graph_hash(
+            G1, node_attr="node_attr1"
+        )
+        g1_hash_with_node_attr2 = nx.weisfeiler_lehman_graph_hash(
+            G1, node_attr="node_attr2"
+        )
+        g1_hash_no_node_attr = nx.weisfeiler_lehman_graph_hash(G1, node_attr=None)
+
+        assert g1_hash_with_node_attr1 != g1_hash_no_node_attr
+        assert g1_hash_with_node_attr2 != g1_hash_no_node_attr
+        assert g1_hash_with_node_attr1 != g1_hash_with_node_attr2
+
+        G2 = nx.relabel_nodes(G1, {u: -1 * u for u in G1.nodes()})
+
+        g2_hash_with_node_attr1 = nx.weisfeiler_lehman_graph_hash(
+            G2, node_attr="node_attr1"
+        )
+        g2_hash_with_node_attr2 = nx.weisfeiler_lehman_graph_hash(
+            G2, node_attr="node_attr2"
+        )
+
+        assert g1_hash_with_node_attr1 == g2_hash_with_node_attr1
+        assert g1_hash_with_node_attr2 == g2_hash_with_node_attr2
+
+
+def test_missing_node_attr():
+    """
+    If the 'node_attr' argument is supplied but is missing from a node in the graph,
+    we should raise a KeyError
+    """
+    G = nx.Graph()
+    G.add_nodes_from([(1, {"node_attr1": "a"}), (2, {})])
+    G.add_edges_from([(1, 2), (2, 3), (3, 1), (1, 4)])
+    pytest.raises(KeyError, nx.weisfeiler_lehman_graph_hash, G, node_attr="node_attr1")
+
+
+def test_isomorphic_edge_attr_and_node_attr():
+    """
+    Isomorphic graphs with differing node attributes should yield different graph
+    hashes if the 'node_attr' and 'edge_attr' argument is supplied and populated in
+    the graph, and there are no hash collisions.
+    The output should still be invariant to node-relabeling
+    """
+    n, r = 100, 10
+    p = 1.0 / r
+    for i in range(1, r + 1):
+        G1 = nx.erdos_renyi_graph(n, p * i, seed=500 + i)
+
+        for u in G1.nodes():
+            G1.nodes[u]["node_attr1"] = f"{u}-1"
+            G1.nodes[u]["node_attr2"] = f"{u}-2"
+
+        for a, b in G1.edges:
+            G1[a][b]["edge_attr1"] = f"{a}-{b}-1"
+            G1[a][b]["edge_attr2"] = f"{a}-{b}-2"
+
+        g1_hash_edge1_node1 = nx.weisfeiler_lehman_graph_hash(
+            G1, edge_attr="edge_attr1", node_attr="node_attr1"
+        )
+        g1_hash_edge2_node2 = nx.weisfeiler_lehman_graph_hash(
+            G1, edge_attr="edge_attr2", node_attr="node_attr2"
+        )
+        g1_hash_edge1_node2 = nx.weisfeiler_lehman_graph_hash(
+            G1, edge_attr="edge_attr1", node_attr="node_attr2"
+        )
+        g1_hash_no_attr = nx.weisfeiler_lehman_graph_hash(G1)
+
+        assert g1_hash_edge1_node1 != g1_hash_no_attr
+        assert g1_hash_edge2_node2 != g1_hash_no_attr
+        assert g1_hash_edge1_node1 != g1_hash_edge2_node2
+        assert g1_hash_edge1_node2 != g1_hash_edge2_node2
+        assert g1_hash_edge1_node2 != g1_hash_edge1_node1
+
+        G2 = nx.relabel_nodes(G1, {u: -1 * u for u in G1.nodes()})
+
+        g2_hash_edge1_node1 = nx.weisfeiler_lehman_graph_hash(
+            G2, edge_attr="edge_attr1", node_attr="node_attr1"
+        )
+        g2_hash_edge2_node2 = nx.weisfeiler_lehman_graph_hash(
+            G2, edge_attr="edge_attr2", node_attr="node_attr2"
+        )
+
+        assert g1_hash_edge1_node1 == g2_hash_edge1_node1
+        assert g1_hash_edge2_node2 == g2_hash_edge2_node2
+
+
+def test_digest_size():
+    """
+    The hash string lengths should be as expected for a variety of graphs and
+    digest sizes
+    """
+    n, r = 100, 10
+    p = 1.0 / r
+    for i in range(1, r + 1):
+        G = nx.erdos_renyi_graph(n, p * i, seed=1000 + i)
+
+        h16 = nx.weisfeiler_lehman_graph_hash(G)
+        h32 = nx.weisfeiler_lehman_graph_hash(G, digest_size=32)
+
+        assert h16 != h32
+        assert len(h16) == 16 * 2
+        assert len(h32) == 32 * 2
+
+
+# Unit tests for the :func:`~networkx.weisfeiler_lehman_hash_subgraphs` function
+
+
+def is_subiteration(a, b):
+    """
+    returns True if that each hash sequence in 'a' is a prefix for
+    the corresponding sequence indexed by the same node in 'b'.
+    """
+    return all(b[node][: len(hashes)] == hashes for node, hashes in a.items())
+
+
+def hexdigest_sizes_correct(a, digest_size):
+    """
+    returns True if all hex digest sizes are the expected length in a node:subgraph-hashes
+    dictionary. Hex digest string length == 2 * bytes digest length since each pair of hex
+    digits encodes 1 byte (https://docs.python.org/3/library/hashlib.html)
+    """
+    hexdigest_size = digest_size * 2
+    list_digest_sizes_correct = lambda l: all(len(x) == hexdigest_size for x in l)
+    return all(list_digest_sizes_correct(hashes) for hashes in a.values())
+
+
+def test_empty_graph_subgraph_hash():
+    """ "
+    empty graphs should give empty dict subgraph hashes regardless of other params
+    """
+    G = nx.empty_graph()
+
+    subgraph_hashes1 = nx.weisfeiler_lehman_subgraph_hashes(G)
+    subgraph_hashes2 = nx.weisfeiler_lehman_subgraph_hashes(G, edge_attr="edge_attr")
+    subgraph_hashes3 = nx.weisfeiler_lehman_subgraph_hashes(G, node_attr="edge_attr")
+    subgraph_hashes4 = nx.weisfeiler_lehman_subgraph_hashes(G, iterations=2)
+    subgraph_hashes5 = nx.weisfeiler_lehman_subgraph_hashes(G, digest_size=64)
+
+    assert subgraph_hashes1 == {}
+    assert subgraph_hashes2 == {}
+    assert subgraph_hashes3 == {}
+    assert subgraph_hashes4 == {}
+    assert subgraph_hashes5 == {}
+
+
+def test_directed_subgraph_hash():
+    """
+    A directed graph with no bi-directional edges should yield different subgraph hashes
+    to the same graph taken as undirected, if all hashes don't collide.
+    """
+    r = 10
+    for i in range(r):
+        G_directed = nx.gn_graph(10 + r, seed=100 + i)
+        G_undirected = nx.to_undirected(G_directed)
+
+        directed_subgraph_hashes = nx.weisfeiler_lehman_subgraph_hashes(G_directed)
+        undirected_subgraph_hashes = nx.weisfeiler_lehman_subgraph_hashes(G_undirected)
+
+        assert directed_subgraph_hashes != undirected_subgraph_hashes
+
+
+def test_reversed_subgraph_hash():
+    """
+    A directed graph with no bi-directional edges should yield different subgraph hashes
+    to the same graph taken with edge directions reversed if there are no hash collisions.
+    Here we test a cycle graph which is the minimal counterexample
+    """
+    G = nx.cycle_graph(5, create_using=nx.DiGraph)
+    nx.set_node_attributes(G, {n: str(n) for n in G.nodes()}, name="label")
+
+    G_reversed = G.reverse()
+
+    h = nx.weisfeiler_lehman_subgraph_hashes(G, node_attr="label")
+    h_reversed = nx.weisfeiler_lehman_subgraph_hashes(G_reversed, node_attr="label")
+
+    assert h != h_reversed
+
+
+def test_isomorphic_subgraph_hash():
+    """
+    the subgraph hashes should be invariant to node-relabeling when the output is reindexed
+    by the same mapping and all hashes don't collide.
+    """
+    n, r = 100, 10
+    p = 1.0 / r
+    for i in range(1, r + 1):
+        G1 = nx.erdos_renyi_graph(n, p * i, seed=200 + i)
+        G2 = nx.relabel_nodes(G1, {u: -1 * u for u in G1.nodes()})
+
+        g1_subgraph_hashes = nx.weisfeiler_lehman_subgraph_hashes(G1)
+        g2_subgraph_hashes = nx.weisfeiler_lehman_subgraph_hashes(G2)
+
+        assert g1_subgraph_hashes == {-1 * k: v for k, v in g2_subgraph_hashes.items()}
+
+
+def test_isomorphic_edge_attr_subgraph_hash():
+    """
+    Isomorphic graphs with differing edge attributes should yield different subgraph
+    hashes if the 'edge_attr' argument is supplied and populated in the graph, and
+    all hashes don't collide.
+    The output should still be invariant to node-relabeling
+    """
+    n, r = 100, 10
+    p = 1.0 / r
+    for i in range(1, r + 1):
+        G1 = nx.erdos_renyi_graph(n, p * i, seed=300 + i)
+
+        for a, b in G1.edges:
+            G1[a][b]["edge_attr1"] = f"{a}-{b}-1"
+            G1[a][b]["edge_attr2"] = f"{a}-{b}-2"
+
+        g1_hash_with_edge_attr1 = nx.weisfeiler_lehman_subgraph_hashes(
+            G1, edge_attr="edge_attr1"
+        )
+        g1_hash_with_edge_attr2 = nx.weisfeiler_lehman_subgraph_hashes(
+            G1, edge_attr="edge_attr2"
+        )
+        g1_hash_no_edge_attr = nx.weisfeiler_lehman_subgraph_hashes(G1, edge_attr=None)
+
+        assert g1_hash_with_edge_attr1 != g1_hash_no_edge_attr
+        assert g1_hash_with_edge_attr2 != g1_hash_no_edge_attr
+        assert g1_hash_with_edge_attr1 != g1_hash_with_edge_attr2
+
+        G2 = nx.relabel_nodes(G1, {u: -1 * u for u in G1.nodes()})
+
+        g2_hash_with_edge_attr1 = nx.weisfeiler_lehman_subgraph_hashes(
+            G2, edge_attr="edge_attr1"
+        )
+        g2_hash_with_edge_attr2 = nx.weisfeiler_lehman_subgraph_hashes(
+            G2, edge_attr="edge_attr2"
+        )
+
+        assert g1_hash_with_edge_attr1 == {
+            -1 * k: v for k, v in g2_hash_with_edge_attr1.items()
+        }
+        assert g1_hash_with_edge_attr2 == {
+            -1 * k: v for k, v in g2_hash_with_edge_attr2.items()
+        }
+
+
+def test_missing_edge_attr_subgraph_hash():
+    """
+    If the 'edge_attr' argument is supplied but is missing from an edge in the graph,
+    we should raise a KeyError
+    """
+    G = nx.Graph()
+    G.add_edges_from([(1, 2, {"edge_attr1": "a"}), (1, 3, {})])
+    pytest.raises(
+        KeyError, nx.weisfeiler_lehman_subgraph_hashes, G, edge_attr="edge_attr1"
+    )
+
+
+def test_isomorphic_node_attr_subgraph_hash():
+    """
+    Isomorphic graphs with differing node attributes should yield different subgraph
+    hashes if the 'node_attr' argument is supplied and populated in the graph, and
+    all hashes don't collide.
+    The output should still be invariant to node-relabeling
+    """
+    n, r = 100, 10
+    p = 1.0 / r
+    for i in range(1, r + 1):
+        G1 = nx.erdos_renyi_graph(n, p * i, seed=400 + i)
+
+        for u in G1.nodes():
+            G1.nodes[u]["node_attr1"] = f"{u}-1"
+            G1.nodes[u]["node_attr2"] = f"{u}-2"
+
+        g1_hash_with_node_attr1 = nx.weisfeiler_lehman_subgraph_hashes(
+            G1, node_attr="node_attr1"
+        )
+        g1_hash_with_node_attr2 = nx.weisfeiler_lehman_subgraph_hashes(
+            G1, node_attr="node_attr2"
+        )
+        g1_hash_no_node_attr = nx.weisfeiler_lehman_subgraph_hashes(G1, node_attr=None)
+
+        assert g1_hash_with_node_attr1 != g1_hash_no_node_attr
+        assert g1_hash_with_node_attr2 != g1_hash_no_node_attr
+        assert g1_hash_with_node_attr1 != g1_hash_with_node_attr2
+
+        G2 = nx.relabel_nodes(G1, {u: -1 * u for u in G1.nodes()})
+
+        g2_hash_with_node_attr1 = nx.weisfeiler_lehman_subgraph_hashes(
+            G2, node_attr="node_attr1"
+        )
+        g2_hash_with_node_attr2 = nx.weisfeiler_lehman_subgraph_hashes(
+            G2, node_attr="node_attr2"
+        )
+
+        assert g1_hash_with_node_attr1 == {
+            -1 * k: v for k, v in g2_hash_with_node_attr1.items()
+        }
+        assert g1_hash_with_node_attr2 == {
+            -1 * k: v for k, v in g2_hash_with_node_attr2.items()
+        }
+
+
+def test_missing_node_attr_subgraph_hash():
+    """
+    If the 'node_attr' argument is supplied but is missing from a node in the graph,
+    we should raise a KeyError
+    """
+    G = nx.Graph()
+    G.add_nodes_from([(1, {"node_attr1": "a"}), (2, {})])
+    G.add_edges_from([(1, 2), (2, 3), (3, 1), (1, 4)])
+    pytest.raises(
+        KeyError, nx.weisfeiler_lehman_subgraph_hashes, G, node_attr="node_attr1"
+    )
+
+
+def test_isomorphic_edge_attr_and_node_attr_subgraph_hash():
+    """
+    Isomorphic graphs with differing node attributes should yield different subgraph
+    hashes if the 'node_attr' and 'edge_attr' argument is supplied and populated in
+    the graph, and all hashes don't collide
+    The output should still be invariant to node-relabeling
+    """
+    n, r = 100, 10
+    p = 1.0 / r
+    for i in range(1, r + 1):
+        G1 = nx.erdos_renyi_graph(n, p * i, seed=500 + i)
+
+        for u in G1.nodes():
+            G1.nodes[u]["node_attr1"] = f"{u}-1"
+            G1.nodes[u]["node_attr2"] = f"{u}-2"
+
+        for a, b in G1.edges:
+            G1[a][b]["edge_attr1"] = f"{a}-{b}-1"
+            G1[a][b]["edge_attr2"] = f"{a}-{b}-2"
+
+        g1_hash_edge1_node1 = nx.weisfeiler_lehman_subgraph_hashes(
+            G1, edge_attr="edge_attr1", node_attr="node_attr1"
+        )
+        g1_hash_edge2_node2 = nx.weisfeiler_lehman_subgraph_hashes(
+            G1, edge_attr="edge_attr2", node_attr="node_attr2"
+        )
+        g1_hash_edge1_node2 = nx.weisfeiler_lehman_subgraph_hashes(
+            G1, edge_attr="edge_attr1", node_attr="node_attr2"
+        )
+        g1_hash_no_attr = nx.weisfeiler_lehman_subgraph_hashes(G1)
+
+        assert g1_hash_edge1_node1 != g1_hash_no_attr
+        assert g1_hash_edge2_node2 != g1_hash_no_attr
+        assert g1_hash_edge1_node1 != g1_hash_edge2_node2
+        assert g1_hash_edge1_node2 != g1_hash_edge2_node2
+        assert g1_hash_edge1_node2 != g1_hash_edge1_node1
+
+        G2 = nx.relabel_nodes(G1, {u: -1 * u for u in G1.nodes()})
+
+        g2_hash_edge1_node1 = nx.weisfeiler_lehman_subgraph_hashes(
+            G2, edge_attr="edge_attr1", node_attr="node_attr1"
+        )
+        g2_hash_edge2_node2 = nx.weisfeiler_lehman_subgraph_hashes(
+            G2, edge_attr="edge_attr2", node_attr="node_attr2"
+        )
+
+        assert g1_hash_edge1_node1 == {
+            -1 * k: v for k, v in g2_hash_edge1_node1.items()
+        }
+        assert g1_hash_edge2_node2 == {
+            -1 * k: v for k, v in g2_hash_edge2_node2.items()
+        }
+
+
+def test_iteration_depth():
+    """
+    All nodes should have the correct number of subgraph hashes in the output when
+    using degree as initial node labels
+    Subsequent iteration depths for the same graph should be additive for each node
+    """
+    n, r = 100, 10
+    p = 1.0 / r
+    for i in range(1, r + 1):
+        G = nx.erdos_renyi_graph(n, p * i, seed=600 + i)
+
+        depth3 = nx.weisfeiler_lehman_subgraph_hashes(G, iterations=3)
+        depth4 = nx.weisfeiler_lehman_subgraph_hashes(G, iterations=4)
+        depth5 = nx.weisfeiler_lehman_subgraph_hashes(G, iterations=5)
+
+        assert all(len(hashes) == 3 for hashes in depth3.values())
+        assert all(len(hashes) == 4 for hashes in depth4.values())
+        assert all(len(hashes) == 5 for hashes in depth5.values())
+
+        assert is_subiteration(depth3, depth4)
+        assert is_subiteration(depth4, depth5)
+        assert is_subiteration(depth3, depth5)
+
+
+def test_iteration_depth_edge_attr():
+    """
+    All nodes should have the correct number of subgraph hashes in the output when
+    setting initial node labels empty and using an edge attribute when aggregating
+    neighborhoods.
+    Subsequent iteration depths for the same graph should be additive for each node
+    """
+    n, r = 100, 10
+    p = 1.0 / r
+    for i in range(1, r + 1):
+        G = nx.erdos_renyi_graph(n, p * i, seed=700 + i)
+
+        for a, b in G.edges:
+            G[a][b]["edge_attr1"] = f"{a}-{b}-1"
+
+        depth3 = nx.weisfeiler_lehman_subgraph_hashes(
+            G, edge_attr="edge_attr1", iterations=3
+        )
+        depth4 = nx.weisfeiler_lehman_subgraph_hashes(
+            G, edge_attr="edge_attr1", iterations=4
+        )
+        depth5 = nx.weisfeiler_lehman_subgraph_hashes(
+            G, edge_attr="edge_attr1", iterations=5
+        )
+
+        assert all(len(hashes) == 3 for hashes in depth3.values())
+        assert all(len(hashes) == 4 for hashes in depth4.values())
+        assert all(len(hashes) == 5 for hashes in depth5.values())
+
+        assert is_subiteration(depth3, depth4)
+        assert is_subiteration(depth4, depth5)
+        assert is_subiteration(depth3, depth5)
+
+
+def test_iteration_depth_node_attr():
+    """
+    All nodes should have the correct number of subgraph hashes in the output when
+    setting initial node labels to an attribute.
+    Subsequent iteration depths for the same graph should be additive for each node
+    """
+    n, r = 100, 10
+    p = 1.0 / r
+    for i in range(1, r + 1):
+        G = nx.erdos_renyi_graph(n, p * i, seed=800 + i)
+
+        for u in G.nodes():
+            G.nodes[u]["node_attr1"] = f"{u}-1"
+
+        depth3 = nx.weisfeiler_lehman_subgraph_hashes(
+            G, node_attr="node_attr1", iterations=3
+        )
+        depth4 = nx.weisfeiler_lehman_subgraph_hashes(
+            G, node_attr="node_attr1", iterations=4
+        )
+        depth5 = nx.weisfeiler_lehman_subgraph_hashes(
+            G, node_attr="node_attr1", iterations=5
+        )
+
+        assert all(len(hashes) == 3 for hashes in depth3.values())
+        assert all(len(hashes) == 4 for hashes in depth4.values())
+        assert all(len(hashes) == 5 for hashes in depth5.values())
+
+        assert is_subiteration(depth3, depth4)
+        assert is_subiteration(depth4, depth5)
+        assert is_subiteration(depth3, depth5)
+
+
+def test_iteration_depth_node_edge_attr():
+    """
+    All nodes should have the correct number of subgraph hashes in the output when
+    setting initial node labels to an attribute and also using an edge attribute when
+    aggregating neighborhoods.
+    Subsequent iteration depths for the same graph should be additive for each node
+    """
+    n, r = 100, 10
+    p = 1.0 / r
+    for i in range(1, r + 1):
+        G = nx.erdos_renyi_graph(n, p * i, seed=900 + i)
+
+        for u in G.nodes():
+            G.nodes[u]["node_attr1"] = f"{u}-1"
+
+        for a, b in G.edges:
+            G[a][b]["edge_attr1"] = f"{a}-{b}-1"
+
+        depth3 = nx.weisfeiler_lehman_subgraph_hashes(
+            G, edge_attr="edge_attr1", node_attr="node_attr1", iterations=3
+        )
+        depth4 = nx.weisfeiler_lehman_subgraph_hashes(
+            G, edge_attr="edge_attr1", node_attr="node_attr1", iterations=4
+        )
+        depth5 = nx.weisfeiler_lehman_subgraph_hashes(
+            G, edge_attr="edge_attr1", node_attr="node_attr1", iterations=5
+        )
+
+        assert all(len(hashes) == 3 for hashes in depth3.values())
+        assert all(len(hashes) == 4 for hashes in depth4.values())
+        assert all(len(hashes) == 5 for hashes in depth5.values())
+
+        assert is_subiteration(depth3, depth4)
+        assert is_subiteration(depth4, depth5)
+        assert is_subiteration(depth3, depth5)
+
+
+def test_digest_size_subgraph_hash():
+    """
+    The hash string lengths should be as expected for a variety of graphs and
+    digest sizes
+    """
+    n, r = 100, 10
+    p = 1.0 / r
+    for i in range(1, r + 1):
+        G = nx.erdos_renyi_graph(n, p * i, seed=1000 + i)
+
+        digest_size16_hashes = nx.weisfeiler_lehman_subgraph_hashes(G)
+        digest_size32_hashes = nx.weisfeiler_lehman_subgraph_hashes(G, digest_size=32)
+
+        assert digest_size16_hashes != digest_size32_hashes
+
+        assert hexdigest_sizes_correct(digest_size16_hashes, 16)
+        assert hexdigest_sizes_correct(digest_size32_hashes, 32)
+
+
+def test_initial_node_labels_subgraph_hash():
+    """
+    Including the hashed initial label prepends an extra hash to the lists
+    """
+    G = nx.path_graph(5)
+    nx.set_node_attributes(G, {i: int(0 < i < 4) for i in G}, "label")
+    # initial node labels:
+    # 0--1--1--1--0
+
+    without_initial_label = nx.weisfeiler_lehman_subgraph_hashes(G, node_attr="label")
+    assert all(len(v) == 3 for v in without_initial_label.values())
+    # 3 different 1 hop nhds
+    assert len({v[0] for v in without_initial_label.values()}) == 3
+
+    with_initial_label = nx.weisfeiler_lehman_subgraph_hashes(
+        G, node_attr="label", include_initial_labels=True
+    )
+    assert all(len(v) == 4 for v in with_initial_label.values())
+    # 2 different initial labels
+    assert len({v[0] for v in with_initial_label.values()}) == 2
+
+    # check hashes match otherwise
+    for u in G:
+        for a, b in zip(
+            with_initial_label[u][1:], without_initial_label[u], strict=True
+        ):
+            assert a == b

valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_hierarchy.py

@@ -0,0 +1,39 @@
+import pytest
+
+import networkx as nx
+
+
+def test_hierarchy_exception():
+    G = nx.cycle_graph(5)
+    pytest.raises(nx.NetworkXError, nx.flow_hierarchy, G)
+
+
+def test_hierarchy_cycle():
+    G = nx.cycle_graph(5, create_using=nx.DiGraph())
+    assert nx.flow_hierarchy(G) == 0.0
+
+
+def test_hierarchy_tree():
+    G = nx.full_rary_tree(2, 16, create_using=nx.DiGraph())
+    assert nx.flow_hierarchy(G) == 1.0
+
+
+def test_hierarchy_1():
+    G = nx.DiGraph()
+    G.add_edges_from([(0, 1), (1, 2), (2, 3), (3, 1), (3, 4), (0, 4)])
+    assert nx.flow_hierarchy(G) == 0.5
+
+
+def test_hierarchy_weight():
+    G = nx.DiGraph()
+    G.add_edges_from(
+        [
+            (0, 1, {"weight": 0.3}),
+            (1, 2, {"weight": 0.1}),
+            (2, 3, {"weight": 0.1}),
+            (3, 1, {"weight": 0.1}),
+            (3, 4, {"weight": 0.3}),
+            (0, 4, {"weight": 0.3}),
+        ]
+    )
+    assert nx.flow_hierarchy(G, weight="weight") == 0.75

valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_hybrid.py

@@ -0,0 +1,24 @@
+import networkx as nx
+
+
+def test_2d_grid_graph():
+    # FC article claims 2d grid graph of size n is (3,3)-connected
+    # and (5,9)-connected, but I don't think it is (5,9)-connected
+    G = nx.grid_2d_graph(8, 8, periodic=True)
+    assert nx.is_kl_connected(G, 3, 3)
+    assert not nx.is_kl_connected(G, 5, 9)
+    (H, graphOK) = nx.kl_connected_subgraph(G, 5, 9, same_as_graph=True)
+    assert not graphOK
+
+
+def test_small_graph():
+    G = nx.Graph()
+    G.add_edge(1, 2)
+    G.add_edge(1, 3)
+    G.add_edge(2, 3)
+    assert nx.is_kl_connected(G, 2, 2)
+    H = nx.kl_connected_subgraph(G, 2, 2)
+    (H, graphOK) = nx.kl_connected_subgraph(
+        G, 2, 2, low_memory=True, same_as_graph=True
+    )
+    assert graphOK

valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_isolate.py

@@ -0,0 +1,26 @@
+"""Unit tests for the :mod:`networkx.algorithms.isolates` module."""
+
+import networkx as nx
+
+
+def test_is_isolate():
+    G = nx.Graph()
+    G.add_edge(0, 1)
+    G.add_node(2)
+    assert not nx.is_isolate(G, 0)
+    assert not nx.is_isolate(G, 1)
+    assert nx.is_isolate(G, 2)
+
+
+def test_isolates():
+    G = nx.Graph()
+    G.add_edge(0, 1)
+    G.add_nodes_from([2, 3])
+    assert sorted(nx.isolates(G)) == [2, 3]
+
+
+def test_number_of_isolates():
+    G = nx.Graph()
+    G.add_edge(0, 1)
+    G.add_nodes_from([2, 3])
+    assert nx.number_of_isolates(G) == 2

valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_link_prediction.py

@@ -0,0 +1,586 @@
+import math
+from functools import partial
+
+import pytest
+
+import networkx as nx
+
+
+def _test_func(G, ebunch, expected, predict_func, **kwargs):
+    result = predict_func(G, ebunch, **kwargs)
+    exp_dict = {tuple(sorted([u, v])): score for u, v, score in expected}
+    res_dict = {tuple(sorted([u, v])): score for u, v, score in result}
+
+    assert len(exp_dict) == len(res_dict)
+    for p in exp_dict:
+        assert exp_dict[p] == pytest.approx(res_dict[p], abs=1e-7)
+
+
+class TestResourceAllocationIndex:
+    @classmethod
+    def setup_class(cls):
+        cls.func = staticmethod(nx.resource_allocation_index)
+        cls.test = partial(_test_func, predict_func=cls.func)
+
+    def test_K5(self):
+        G = nx.complete_graph(5)
+        self.test(G, [(0, 1)], [(0, 1, 0.75)])
+
+    def test_P3(self):
+        G = nx.path_graph(3)
+        self.test(G, [(0, 2)], [(0, 2, 0.5)])
+
+    def test_S4(self):
+        G = nx.star_graph(4)
+        self.test(G, [(1, 2)], [(1, 2, 0.25)])
+
+    @pytest.mark.parametrize("graph_type", (nx.DiGraph, nx.MultiGraph, nx.MultiDiGraph))
+    def test_notimplemented(self, graph_type):
+        assert pytest.raises(
+            nx.NetworkXNotImplemented, self.func, graph_type([(0, 1), (1, 2)]), [(0, 2)]
+        )
+
+    def test_node_not_found(self):
+        G = nx.Graph()
+        G.add_edges_from([(0, 1), (0, 2), (2, 3)])
+        assert pytest.raises(nx.NodeNotFound, self.func, G, [(0, 4)])
+
+    def test_no_common_neighbor(self):
+        G = nx.Graph()
+        G.add_nodes_from([0, 1])
+        self.test(G, [(0, 1)], [(0, 1, 0)])
+
+    def test_equal_nodes(self):
+        G = nx.complete_graph(4)
+        self.test(G, [(0, 0)], [(0, 0, 1)])
+
+    def test_all_nonexistent_edges(self):
+        G = nx.Graph()
+        G.add_edges_from([(0, 1), (0, 2), (2, 3)])
+        self.test(G, None, [(0, 3, 0.5), (1, 2, 0.5), (1, 3, 0)])
+
+
+class TestJaccardCoefficient:
+    @classmethod
+    def setup_class(cls):
+        cls.func = staticmethod(nx.jaccard_coefficient)
+        cls.test = partial(_test_func, predict_func=cls.func)
+
+    def test_K5(self):
+        G = nx.complete_graph(5)
+        self.test(G, [(0, 1)], [(0, 1, 0.6)])
+
+    def test_P4(self):
+        G = nx.path_graph(4)
+        self.test(G, [(0, 2)], [(0, 2, 0.5)])
+
+    @pytest.mark.parametrize("graph_type", (nx.DiGraph, nx.MultiGraph, nx.MultiDiGraph))
+    def test_notimplemented(self, graph_type):
+        assert pytest.raises(
+            nx.NetworkXNotImplemented, self.func, graph_type([(0, 1), (1, 2)]), [(0, 2)]
+        )
+
+    def test_node_not_found(self):
+        G = nx.Graph()
+        G.add_edges_from([(0, 1), (0, 2), (2, 3)])
+        assert pytest.raises(nx.NodeNotFound, self.func, G, [(0, 4)])
+
+    def test_no_common_neighbor(self):
+        G = nx.Graph()
+        G.add_edges_from([(0, 1), (2, 3)])
+        self.test(G, [(0, 2)], [(0, 2, 0)])
+
+    def test_isolated_nodes(self):
+        G = nx.Graph()
+        G.add_nodes_from([0, 1])
+        self.test(G, [(0, 1)], [(0, 1, 0)])
+
+    def test_all_nonexistent_edges(self):
+        G = nx.Graph()
+        G.add_edges_from([(0, 1), (0, 2), (2, 3)])
+        self.test(G, None, [(0, 3, 0.5), (1, 2, 0.5), (1, 3, 0)])
+
+
+class TestAdamicAdarIndex:
+    @classmethod
+    def setup_class(cls):
+        cls.func = staticmethod(nx.adamic_adar_index)
+        cls.test = partial(_test_func, predict_func=cls.func)
+
+    def test_K5(self):
+        G = nx.complete_graph(5)
+        self.test(G, [(0, 1)], [(0, 1, 3 / math.log(4))])
+
+    def test_P3(self):
+        G = nx.path_graph(3)
+        self.test(G, [(0, 2)], [(0, 2, 1 / math.log(2))])
+
+    def test_S4(self):
+        G = nx.star_graph(4)
+        self.test(G, [(1, 2)], [(1, 2, 1 / math.log(4))])
+
+    @pytest.mark.parametrize("graph_type", (nx.DiGraph, nx.MultiGraph, nx.MultiDiGraph))
+    def test_notimplemented(self, graph_type):
+        assert pytest.raises(
+            nx.NetworkXNotImplemented, self.func, graph_type([(0, 1), (1, 2)]), [(0, 2)]
+        )
+
+    def test_node_not_found(self):
+        G = nx.Graph()
+        G.add_edges_from([(0, 1), (0, 2), (2, 3)])
+        assert pytest.raises(nx.NodeNotFound, self.func, G, [(0, 4)])
+
+    def test_no_common_neighbor(self):
+        G = nx.Graph()
+        G.add_nodes_from([0, 1])
+        self.test(G, [(0, 1)], [(0, 1, 0)])
+
+    def test_equal_nodes(self):
+        G = nx.complete_graph(4)
+        self.test(G, [(0, 0)], [(0, 0, 3 / math.log(3))])
+
+    def test_all_nonexistent_edges(self):
+        G = nx.Graph()
+        G.add_edges_from([(0, 1), (0, 2), (2, 3)])
+        self.test(
+            G, None, [(0, 3, 1 / math.log(2)), (1, 2, 1 / math.log(2)), (1, 3, 0)]
+        )
+
+
+class TestCommonNeighborCentrality:
+    @classmethod
+    def setup_class(cls):
+        cls.func = staticmethod(nx.common_neighbor_centrality)
+        cls.test = partial(_test_func, predict_func=cls.func)
+
+    def test_K5(self):
+        G = nx.complete_graph(5)
+        self.test(G, [(0, 1)], [(0, 1, 3.0)], alpha=1)
+        self.test(G, [(0, 1)], [(0, 1, 5.0)], alpha=0)
+
+    def test_P3(self):
+        G = nx.path_graph(3)
+        self.test(G, [(0, 2)], [(0, 2, 1.25)], alpha=0.5)
+
+    def test_S4(self):
+        G = nx.star_graph(4)
+        self.test(G, [(1, 2)], [(1, 2, 1.75)], alpha=0.5)
+
+    @pytest.mark.parametrize("graph_type", (nx.DiGraph, nx.MultiGraph, nx.MultiDiGraph))
+    def test_notimplemented(self, graph_type):
+        assert pytest.raises(
+            nx.NetworkXNotImplemented, self.func, graph_type([(0, 1), (1, 2)]), [(0, 2)]
+        )
+
+    def test_node_u_not_found(self):
+        G = nx.Graph()
+        G.add_edges_from([(1, 3), (2, 3)])
+        assert pytest.raises(nx.NodeNotFound, self.func, G, [(0, 1)])
+
+    def test_node_v_not_found(self):
+        G = nx.Graph()
+        G.add_edges_from([(0, 1), (0, 2), (2, 3)])
+        assert pytest.raises(nx.NodeNotFound, self.func, G, [(0, 4)])
+
+    def test_no_common_neighbor(self):
+        G = nx.Graph()
+        G.add_nodes_from([0, 1])
+        self.test(G, [(0, 1)], [(0, 1, 0)])
+
+    def test_equal_nodes(self):
+        G = nx.complete_graph(4)
+        assert pytest.raises(nx.NetworkXAlgorithmError, self.test, G, [(0, 0)], [])
+
+    def test_equal_nodes_with_alpha_one_raises_error(self):
+        G = nx.complete_graph(4)
+        assert pytest.raises(
+            nx.NetworkXAlgorithmError, self.test, G, [(0, 0)], [], alpha=1.0
+        )
+
+    def test_all_nonexistent_edges(self):
+        G = nx.Graph()
+        G.add_edges_from([(0, 1), (0, 2), (2, 3)])
+        self.test(G, None, [(0, 3, 1.5), (1, 2, 1.5), (1, 3, 2 / 3)], alpha=0.5)
+
+
+class TestPreferentialAttachment:
+    @classmethod
+    def setup_class(cls):
+        cls.func = staticmethod(nx.preferential_attachment)
+        cls.test = partial(_test_func, predict_func=cls.func)
+
+    def test_K5(self):
+        G = nx.complete_graph(5)
+        self.test(G, [(0, 1)], [(0, 1, 16)])
+
+    def test_P3(self):
+        G = nx.path_graph(3)
+        self.test(G, [(0, 1)], [(0, 1, 2)])
+
+    def test_S4(self):
+        G = nx.star_graph(4)
+        self.test(G, [(0, 2)], [(0, 2, 4)])
+
+    @pytest.mark.parametrize("graph_type", (nx.DiGraph, nx.MultiGraph, nx.MultiDiGraph))
+    def test_notimplemented(self, graph_type):
+        assert pytest.raises(
+            nx.NetworkXNotImplemented, self.func, graph_type([(0, 1), (1, 2)]), [(0, 2)]
+        )
+
+    def test_node_not_found(self):
+        G = nx.Graph()
+        G.add_edges_from([(0, 1), (0, 2), (2, 3)])
+        assert pytest.raises(nx.NodeNotFound, self.func, G, [(0, 4)])
+
+    def test_zero_degrees(self):
+        G = nx.Graph()
+        G.add_nodes_from([0, 1])
+        self.test(G, [(0, 1)], [(0, 1, 0)])
+
+    def test_all_nonexistent_edges(self):
+        G = nx.Graph()
+        G.add_edges_from([(0, 1), (0, 2), (2, 3)])
+        self.test(G, None, [(0, 3, 2), (1, 2, 2), (1, 3, 1)])
+
+
+class TestCNSoundarajanHopcroft:
+    @classmethod
+    def setup_class(cls):
+        cls.func = staticmethod(nx.cn_soundarajan_hopcroft)
+        cls.test = partial(_test_func, predict_func=cls.func, community="community")
+
+    def test_K5(self):
+        G = nx.complete_graph(5)
+        G.nodes[0]["community"] = 0
+        G.nodes[1]["community"] = 0
+        G.nodes[2]["community"] = 0
+        G.nodes[3]["community"] = 0
+        G.nodes[4]["community"] = 1
+        self.test(G, [(0, 1)], [(0, 1, 5)])
+
+    def test_P3(self):
+        G = nx.path_graph(3)
+        G.nodes[0]["community"] = 0
+        G.nodes[1]["community"] = 1
+        G.nodes[2]["community"] = 0
+        self.test(G, [(0, 2)], [(0, 2, 1)])
+
+    def test_S4(self):
+        G = nx.star_graph(4)
+        G.nodes[0]["community"] = 1
+        G.nodes[1]["community"] = 1
+        G.nodes[2]["community"] = 1
+        G.nodes[3]["community"] = 0
+        G.nodes[4]["community"] = 0
+        self.test(G, [(1, 2)], [(1, 2, 2)])
+
+    @pytest.mark.parametrize("graph_type", (nx.DiGraph, nx.MultiGraph, nx.MultiDiGraph))
+    def test_notimplemented(self, graph_type):
+        G = graph_type([(0, 1), (1, 2)])
+        G.add_nodes_from([0, 1, 2], community=0)
+        assert pytest.raises(nx.NetworkXNotImplemented, self.func, G, [(0, 2)])
+
+    def test_node_not_found(self):
+        G = nx.Graph()
+        G.add_edges_from([(0, 1), (0, 2), (2, 3)])
+        G.nodes[0]["community"] = 0
+        G.nodes[1]["community"] = 1
+        G.nodes[2]["community"] = 0
+        G.nodes[3]["community"] = 0
+        assert pytest.raises(nx.NodeNotFound, self.func, G, [(0, 4)])
+
+    def test_no_common_neighbor(self):
+        G = nx.Graph()
+        G.add_nodes_from([0, 1])
+        G.nodes[0]["community"] = 0
+        G.nodes[1]["community"] = 0
+        self.test(G, [(0, 1)], [(0, 1, 0)])
+
+    def test_equal_nodes(self):
+        G = nx.complete_graph(3)
+        G.nodes[0]["community"] = 0
+        G.nodes[1]["community"] = 0
+        G.nodes[2]["community"] = 0
+        self.test(G, [(0, 0)], [(0, 0, 4)])
+
+    def test_different_community(self):
+        G = nx.Graph()
+        G.add_edges_from([(0, 1), (0, 2), (1, 3), (2, 3)])
+        G.nodes[0]["community"] = 0
+        G.nodes[1]["community"] = 0
+        G.nodes[2]["community"] = 0
+        G.nodes[3]["community"] = 1
+        self.test(G, [(0, 3)], [(0, 3, 2)])
+
+    def test_no_community_information(self):
+        G = nx.complete_graph(5)
+        assert pytest.raises(nx.NetworkXAlgorithmError, list, self.func(G, [(0, 1)]))
+
+    def test_insufficient_community_information(self):
+        G = nx.Graph()
+        G.add_edges_from([(0, 1), (0, 2), (1, 3), (2, 3)])
+        G.nodes[0]["community"] = 0
+        G.nodes[1]["community"] = 0
+        G.nodes[3]["community"] = 0
+        assert pytest.raises(nx.NetworkXAlgorithmError, list, self.func(G, [(0, 3)]))
+
+    def test_sufficient_community_information(self):
+        G = nx.Graph()
+        G.add_edges_from([(0, 1), (1, 2), (1, 3), (2, 4), (3, 4), (4, 5)])
+        G.nodes[1]["community"] = 0
+        G.nodes[2]["community"] = 0
+        G.nodes[3]["community"] = 0
+        G.nodes[4]["community"] = 0
+        self.test(G, [(1, 4)], [(1, 4, 4)])
+
+    def test_custom_community_attribute_name(self):
+        G = nx.Graph()
+        G.add_edges_from([(0, 1), (0, 2), (1, 3), (2, 3)])
+        G.nodes[0]["cmty"] = 0
+        G.nodes[1]["cmty"] = 0
+        G.nodes[2]["cmty"] = 0
+        G.nodes[3]["cmty"] = 1
+        self.test(G, [(0, 3)], [(0, 3, 2)], community="cmty")
+
+    def test_all_nonexistent_edges(self):
+        G = nx.Graph()
+        G.add_edges_from([(0, 1), (0, 2), (2, 3)])
+        G.nodes[0]["community"] = 0
+        G.nodes[1]["community"] = 1
+        G.nodes[2]["community"] = 0
+        G.nodes[3]["community"] = 0
+        self.test(G, None, [(0, 3, 2), (1, 2, 1), (1, 3, 0)])
+
+
+class TestRAIndexSoundarajanHopcroft:
+    @classmethod
+    def setup_class(cls):
+        cls.func = staticmethod(nx.ra_index_soundarajan_hopcroft)
+        cls.test = partial(_test_func, predict_func=cls.func, community="community")
+
+    def test_K5(self):
+        G = nx.complete_graph(5)
+        G.nodes[0]["community"] = 0
+        G.nodes[1]["community"] = 0
+        G.nodes[2]["community"] = 0
+        G.nodes[3]["community"] = 0
+        G.nodes[4]["community"] = 1
+        self.test(G, [(0, 1)], [(0, 1, 0.5)])
+
+    def test_P3(self):
+        G = nx.path_graph(3)
+        G.nodes[0]["community"] = 0
+        G.nodes[1]["community"] = 1
+        G.nodes[2]["community"] = 0
+        self.test(G, [(0, 2)], [(0, 2, 0)])
+
+    def test_S4(self):
+        G = nx.star_graph(4)
+        G.nodes[0]["community"] = 1
+        G.nodes[1]["community"] = 1
+        G.nodes[2]["community"] = 1
+        G.nodes[3]["community"] = 0
+        G.nodes[4]["community"] = 0
+        self.test(G, [(1, 2)], [(1, 2, 0.25)])
+
+    @pytest.mark.parametrize("graph_type", (nx.DiGraph, nx.MultiGraph, nx.MultiDiGraph))
+    def test_notimplemented(self, graph_type):
+        G = graph_type([(0, 1), (1, 2)])
+        G.add_nodes_from([0, 1, 2], community=0)
+        assert pytest.raises(nx.NetworkXNotImplemented, self.func, G, [(0, 2)])
+
+    def test_node_not_found(self):
+        G = nx.Graph()
+        G.add_edges_from([(0, 1), (0, 2), (2, 3)])
+        G.nodes[0]["community"] = 0
+        G.nodes[1]["community"] = 1
+        G.nodes[2]["community"] = 0
+        G.nodes[3]["community"] = 0
+        assert pytest.raises(nx.NodeNotFound, self.func, G, [(0, 4)])
+
+    def test_no_common_neighbor(self):
+        G = nx.Graph()
+        G.add_nodes_from([0, 1])
+        G.nodes[0]["community"] = 0
+        G.nodes[1]["community"] = 0
+        self.test(G, [(0, 1)], [(0, 1, 0)])
+
+    def test_equal_nodes(self):
+        G = nx.complete_graph(3)
+        G.nodes[0]["community"] = 0
+        G.nodes[1]["community"] = 0
+        G.nodes[2]["community"] = 0
+        self.test(G, [(0, 0)], [(0, 0, 1)])
+
+    def test_different_community(self):
+        G = nx.Graph()
+        G.add_edges_from([(0, 1), (0, 2), (1, 3), (2, 3)])
+        G.nodes[0]["community"] = 0
+        G.nodes[1]["community"] = 0
+        G.nodes[2]["community"] = 0
+        G.nodes[3]["community"] = 1
+        self.test(G, [(0, 3)], [(0, 3, 0)])
+
+    def test_no_community_information(self):
+        G = nx.complete_graph(5)
+        assert pytest.raises(nx.NetworkXAlgorithmError, list, self.func(G, [(0, 1)]))
+
+    def test_insufficient_community_information(self):
+        G = nx.Graph()
+        G.add_edges_from([(0, 1), (0, 2), (1, 3), (2, 3)])
+        G.nodes[0]["community"] = 0
+        G.nodes[1]["community"] = 0
+        G.nodes[3]["community"] = 0
+        assert pytest.raises(nx.NetworkXAlgorithmError, list, self.func(G, [(0, 3)]))
+
+    def test_sufficient_community_information(self):
+        G = nx.Graph()
+        G.add_edges_from([(0, 1), (1, 2), (1, 3), (2, 4), (3, 4), (4, 5)])
+        G.nodes[1]["community"] = 0
+        G.nodes[2]["community"] = 0
+        G.nodes[3]["community"] = 0
+        G.nodes[4]["community"] = 0
+        self.test(G, [(1, 4)], [(1, 4, 1)])
+
+    def test_custom_community_attribute_name(self):
+        G = nx.Graph()
+        G.add_edges_from([(0, 1), (0, 2), (1, 3), (2, 3)])
+        G.nodes[0]["cmty"] = 0
+        G.nodes[1]["cmty"] = 0
+        G.nodes[2]["cmty"] = 0
+        G.nodes[3]["cmty"] = 1
+        self.test(G, [(0, 3)], [(0, 3, 0)], community="cmty")
+
+    def test_all_nonexistent_edges(self):
+        G = nx.Graph()
+        G.add_edges_from([(0, 1), (0, 2), (2, 3)])
+        G.nodes[0]["community"] = 0
+        G.nodes[1]["community"] = 1
+        G.nodes[2]["community"] = 0
+        G.nodes[3]["community"] = 0
+        self.test(G, None, [(0, 3, 0.5), (1, 2, 0), (1, 3, 0)])
+
+
+class TestWithinInterCluster:
+    @classmethod
+    def setup_class(cls):
+        cls.delta = 0.001
+        cls.func = staticmethod(nx.within_inter_cluster)
+        cls.test = partial(
+            _test_func, predict_func=cls.func, delta=cls.delta, community="community"
+        )
+
+    def test_K5(self):
+        G = nx.complete_graph(5)
+        G.nodes[0]["community"] = 0
+        G.nodes[1]["community"] = 0
+        G.nodes[2]["community"] = 0
+        G.nodes[3]["community"] = 0
+        G.nodes[4]["community"] = 1
+        self.test(G, [(0, 1)], [(0, 1, 2 / (1 + self.delta))])
+
+    def test_P3(self):
+        G = nx.path_graph(3)
+        G.nodes[0]["community"] = 0
+        G.nodes[1]["community"] = 1
+        G.nodes[2]["community"] = 0
+        self.test(G, [(0, 2)], [(0, 2, 0)])
+
+    def test_S4(self):
+        G = nx.star_graph(4)
+        G.nodes[0]["community"] = 1
+        G.nodes[1]["community"] = 1
+        G.nodes[2]["community"] = 1
+        G.nodes[3]["community"] = 0
+        G.nodes[4]["community"] = 0
+        self.test(G, [(1, 2)], [(1, 2, 1 / self.delta)])
+
+    @pytest.mark.parametrize("graph_type", (nx.DiGraph, nx.MultiGraph, nx.MultiDiGraph))
+    def test_notimplemented(self, graph_type):
+        G = graph_type([(0, 1), (1, 2)])
+        G.add_nodes_from([0, 1, 2], community=0)
+        assert pytest.raises(nx.NetworkXNotImplemented, self.func, G, [(0, 2)])
+
+    def test_node_not_found(self):
+        G = nx.Graph()
+        G.add_edges_from([(0, 1), (0, 2), (2, 3)])
+        G.nodes[0]["community"] = 0
+        G.nodes[1]["community"] = 1
+        G.nodes[2]["community"] = 0
+        G.nodes[3]["community"] = 0
+        assert pytest.raises(nx.NodeNotFound, self.func, G, [(0, 4)])
+
+    def test_no_common_neighbor(self):
+        G = nx.Graph()
+        G.add_nodes_from([0, 1])
+        G.nodes[0]["community"] = 0
+        G.nodes[1]["community"] = 0
+        self.test(G, [(0, 1)], [(0, 1, 0)])
+
+    def test_equal_nodes(self):
+        G = nx.complete_graph(3)
+        G.nodes[0]["community"] = 0
+        G.nodes[1]["community"] = 0
+        G.nodes[2]["community"] = 0
+        self.test(G, [(0, 0)], [(0, 0, 2 / self.delta)])
+
+    def test_different_community(self):
+        G = nx.Graph()
+        G.add_edges_from([(0, 1), (0, 2), (1, 3), (2, 3)])
+        G.nodes[0]["community"] = 0
+        G.nodes[1]["community"] = 0
+        G.nodes[2]["community"] = 0
+        G.nodes[3]["community"] = 1
+        self.test(G, [(0, 3)], [(0, 3, 0)])
+
+    def test_no_inter_cluster_common_neighbor(self):
+        G = nx.complete_graph(4)
+        G.nodes[0]["community"] = 0
+        G.nodes[1]["community"] = 0
+        G.nodes[2]["community"] = 0
+        G.nodes[3]["community"] = 0
+        self.test(G, [(0, 3)], [(0, 3, 2 / self.delta)])
+
+    def test_no_community_information(self):
+        G = nx.complete_graph(5)
+        assert pytest.raises(nx.NetworkXAlgorithmError, list, self.func(G, [(0, 1)]))
+
+    def test_insufficient_community_information(self):
+        G = nx.Graph()
+        G.add_edges_from([(0, 1), (0, 2), (1, 3), (2, 3)])
+        G.nodes[0]["community"] = 0
+        G.nodes[1]["community"] = 0
+        G.nodes[3]["community"] = 0
+        assert pytest.raises(nx.NetworkXAlgorithmError, list, self.func(G, [(0, 3)]))
+
+    def test_sufficient_community_information(self):
+        G = nx.Graph()
+        G.add_edges_from([(0, 1), (1, 2), (1, 3), (2, 4), (3, 4), (4, 5)])
+        G.nodes[1]["community"] = 0
+        G.nodes[2]["community"] = 0
+        G.nodes[3]["community"] = 0
+        G.nodes[4]["community"] = 0
+        self.test(G, [(1, 4)], [(1, 4, 2 / self.delta)])
+
+    def test_invalid_delta(self):
+        G = nx.complete_graph(3)
+        G.add_nodes_from([0, 1, 2], community=0)
+        assert pytest.raises(nx.NetworkXAlgorithmError, self.func, G, [(0, 1)], 0)
+        assert pytest.raises(nx.NetworkXAlgorithmError, self.func, G, [(0, 1)], -0.5)
+
+    def test_custom_community_attribute_name(self):
+        G = nx.complete_graph(4)
+        G.nodes[0]["cmty"] = 0
+        G.nodes[1]["cmty"] = 0
+        G.nodes[2]["cmty"] = 0
+        G.nodes[3]["cmty"] = 0
+        self.test(G, [(0, 3)], [(0, 3, 2 / self.delta)], community="cmty")
+
+    def test_all_nonexistent_edges(self):
+        G = nx.Graph()
+        G.add_edges_from([(0, 1), (0, 2), (2, 3)])
+        G.nodes[0]["community"] = 0
+        G.nodes[1]["community"] = 1
+        G.nodes[2]["community"] = 0
+        G.nodes[3]["community"] = 0
+        self.test(G, None, [(0, 3, 1 / self.delta), (1, 2, 0), (1, 3, 0)])

valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_lowest_common_ancestors.py

@@ -0,0 +1,427 @@
+from itertools import chain, combinations, product
+
+import pytest
+
+import networkx as nx
+
+tree_all_pairs_lca = nx.tree_all_pairs_lowest_common_ancestor
+all_pairs_lca = nx.all_pairs_lowest_common_ancestor
+
+
+def get_pair(dictionary, n1, n2):
+    if (n1, n2) in dictionary:
+        return dictionary[n1, n2]
+    else:
+        return dictionary[n2, n1]
+
+
+class TestTreeLCA:
+    @classmethod
+    def setup_class(cls):
+        cls.DG = nx.DiGraph()
+        edges = [(0, 1), (0, 2), (1, 3), (1, 4), (2, 5), (2, 6)]
+        cls.DG.add_edges_from(edges)
+        cls.ans = dict(tree_all_pairs_lca(cls.DG, 0))
+        gold = {(n, n): n for n in cls.DG}
+        gold.update({(0, i): 0 for i in range(1, 7)})
+        gold.update(
+            {
+                (1, 2): 0,
+                (1, 3): 1,
+                (1, 4): 1,
+                (1, 5): 0,
+                (1, 6): 0,
+                (2, 3): 0,
+                (2, 4): 0,
+                (2, 5): 2,
+                (2, 6): 2,
+                (3, 4): 1,
+                (3, 5): 0,
+                (3, 6): 0,
+                (4, 5): 0,
+                (4, 6): 0,
+                (5, 6): 2,
+            }
+        )
+
+        cls.gold = gold
+
+    @staticmethod
+    def assert_has_same_pairs(d1, d2):
+        for a, b in ((min(pair), max(pair)) for pair in chain(d1, d2)):
+            assert get_pair(d1, a, b) == get_pair(d2, a, b)
+
+    def test_tree_all_pairs_lca_default_root(self):
+        assert dict(tree_all_pairs_lca(self.DG)) == self.ans
+
+    def test_tree_all_pairs_lca_return_subset(self):
+        test_pairs = [(0, 1), (0, 1), (1, 0)]
+        ans = dict(tree_all_pairs_lca(self.DG, 0, test_pairs))
+        assert (0, 1) in ans and (1, 0) in ans
+        assert len(ans) == 2
+
+    def test_tree_all_pairs_lca(self):
+        all_pairs = chain(combinations(self.DG, 2), ((node, node) for node in self.DG))
+
+        ans = dict(tree_all_pairs_lca(self.DG, 0, all_pairs))
+        self.assert_has_same_pairs(ans, self.ans)
+
+    def test_tree_all_pairs_gold_example(self):
+        ans = dict(tree_all_pairs_lca(self.DG))
+        self.assert_has_same_pairs(self.gold, ans)
+
+    def test_tree_all_pairs_lca_invalid_input(self):
+        empty_digraph = tree_all_pairs_lca(nx.DiGraph())
+        pytest.raises(nx.NetworkXPointlessConcept, list, empty_digraph)
+
+        bad_pairs_digraph = tree_all_pairs_lca(self.DG, pairs=[(-1, -2)])
+        pytest.raises(nx.NodeNotFound, list, bad_pairs_digraph)
+
+    def test_tree_all_pairs_lca_subtrees(self):
+        ans = dict(tree_all_pairs_lca(self.DG, 1))
+        gold = {
+            pair: lca
+            for (pair, lca) in self.gold.items()
+            if all(n in (1, 3, 4) for n in pair)
+        }
+        self.assert_has_same_pairs(gold, ans)
+
+    def test_tree_all_pairs_lca_disconnected_nodes(self):
+        G = nx.DiGraph()
+        G.add_node(1)
+        assert {(1, 1): 1} == dict(tree_all_pairs_lca(G))
+
+        G.add_node(0)
+        assert {(1, 1): 1} == dict(tree_all_pairs_lca(G, 1))
+        assert {(0, 0): 0} == dict(tree_all_pairs_lca(G, 0))
+
+        pytest.raises(nx.NetworkXError, list, tree_all_pairs_lca(G))
+
+    def test_tree_all_pairs_lca_error_if_input_not_tree(self):
+        # Cycle
+        G = nx.DiGraph([(1, 2), (2, 1)])
+        pytest.raises(nx.NetworkXError, list, tree_all_pairs_lca(G))
+        # DAG
+        G = nx.DiGraph([(0, 2), (1, 2)])
+        pytest.raises(nx.NetworkXError, list, tree_all_pairs_lca(G))
+
+    def test_tree_all_pairs_lca_generator(self):
+        pairs = iter([(0, 1), (0, 1), (1, 0)])
+        some_pairs = dict(tree_all_pairs_lca(self.DG, 0, pairs))
+        assert (0, 1) in some_pairs and (1, 0) in some_pairs
+        assert len(some_pairs) == 2
+
+    def test_tree_all_pairs_lca_nonexisting_pairs_exception(self):
+        lca = tree_all_pairs_lca(self.DG, 0, [(-1, -1)])
+        pytest.raises(nx.NodeNotFound, list, lca)
+        # check if node is None
+        lca = tree_all_pairs_lca(self.DG, None, [(-1, -1)])
+        pytest.raises(nx.NodeNotFound, list, lca)
+
+    def test_tree_all_pairs_lca_routine_bails_on_DAGs(self):
+        G = nx.DiGraph([(3, 4), (5, 4)])
+        pytest.raises(nx.NetworkXError, list, tree_all_pairs_lca(G))
+
+    def test_tree_all_pairs_lca_not_implemented(self):
+        NNI = nx.NetworkXNotImplemented
+        G = nx.Graph([(0, 1)])
+        with pytest.raises(NNI):
+            next(tree_all_pairs_lca(G))
+        with pytest.raises(NNI):
+            next(all_pairs_lca(G))
+        pytest.raises(NNI, nx.lowest_common_ancestor, G, 0, 1)
+        G = nx.MultiGraph([(0, 1)])
+        with pytest.raises(NNI):
+            next(tree_all_pairs_lca(G))
+        with pytest.raises(NNI):
+            next(all_pairs_lca(G))
+        pytest.raises(NNI, nx.lowest_common_ancestor, G, 0, 1)
+
+    def test_tree_all_pairs_lca_trees_without_LCAs(self):
+        G = nx.DiGraph()
+        G.add_node(3)
+        ans = list(tree_all_pairs_lca(G))
+        assert ans == [((3, 3), 3)]
+
+
+class TestMultiTreeLCA(TestTreeLCA):
+    @classmethod
+    def setup_class(cls):
+        cls.DG = nx.MultiDiGraph()
+        edges = [(0, 1), (0, 2), (1, 3), (1, 4), (2, 5), (2, 6)]
+        cls.DG.add_edges_from(edges)
+        cls.ans = dict(tree_all_pairs_lca(cls.DG, 0))
+        # add multiedges
+        cls.DG.add_edges_from(edges)
+
+        gold = {(n, n): n for n in cls.DG}
+        gold.update({(0, i): 0 for i in range(1, 7)})
+        gold.update(
+            {
+                (1, 2): 0,
+                (1, 3): 1,
+                (1, 4): 1,
+                (1, 5): 0,
+                (1, 6): 0,
+                (2, 3): 0,
+                (2, 4): 0,
+                (2, 5): 2,
+                (2, 6): 2,
+                (3, 4): 1,
+                (3, 5): 0,
+                (3, 6): 0,
+                (4, 5): 0,
+                (4, 6): 0,
+                (5, 6): 2,
+            }
+        )
+
+        cls.gold = gold
+
+
+class TestDAGLCA:
+    @classmethod
+    def setup_class(cls):
+        cls.DG = nx.DiGraph()
+        nx.add_path(cls.DG, (0, 1, 2, 3))
+        nx.add_path(cls.DG, (0, 4, 3))
+        nx.add_path(cls.DG, (0, 5, 6, 8, 3))
+        nx.add_path(cls.DG, (5, 7, 8))
+        cls.DG.add_edge(6, 2)
+        cls.DG.add_edge(7, 2)
+
+        cls.root_distance = nx.shortest_path_length(cls.DG, source=0)
+
+        cls.gold = {
+            (1, 1): 1,
+            (1, 2): 1,
+            (1, 3): 1,
+            (1, 4): 0,
+            (1, 5): 0,
+            (1, 6): 0,
+            (1, 7): 0,
+            (1, 8): 0,
+            (2, 2): 2,
+            (2, 3): 2,
+            (2, 4): 0,
+            (2, 5): 5,
+            (2, 6): 6,
+            (2, 7): 7,
+            (2, 8): 7,
+            (3, 3): 3,
+            (3, 4): 4,
+            (3, 5): 5,
+            (3, 6): 6,
+            (3, 7): 7,
+            (3, 8): 8,
+            (4, 4): 4,
+            (4, 5): 0,
+            (4, 6): 0,
+            (4, 7): 0,
+            (4, 8): 0,
+            (5, 5): 5,
+            (5, 6): 5,
+            (5, 7): 5,
+            (5, 8): 5,
+            (6, 6): 6,
+            (6, 7): 5,
+            (6, 8): 6,
+            (7, 7): 7,
+            (7, 8): 7,
+            (8, 8): 8,
+        }
+        cls.gold.update(((0, n), 0) for n in cls.DG)
+
+    def assert_lca_dicts_same(self, d1, d2, G=None):
+        """Checks if d1 and d2 contain the same pairs and
+        have a node at the same distance from root for each.
+        If G is None use self.DG."""
+        if G is None:
+            G = self.DG
+            root_distance = self.root_distance
+        else:
+            roots = [n for n, deg in G.in_degree if deg == 0]
+            assert len(roots) == 1
+            root_distance = nx.shortest_path_length(G, source=roots[0])
+
+        for a, b in ((min(pair), max(pair)) for pair in chain(d1, d2)):
+            assert (
+                root_distance[get_pair(d1, a, b)] == root_distance[get_pair(d2, a, b)]
+            )
+
+    def test_all_pairs_lca_gold_example(self):
+        self.assert_lca_dicts_same(dict(all_pairs_lca(self.DG)), self.gold)
+
+    def test_all_pairs_lca_all_pairs_given(self):
+        all_pairs = list(product(self.DG.nodes(), self.DG.nodes()))
+        ans = all_pairs_lca(self.DG, pairs=all_pairs)
+        self.assert_lca_dicts_same(dict(ans), self.gold)
+
+    def test_all_pairs_lca_generator(self):
+        all_pairs = product(self.DG.nodes(), self.DG.nodes())
+        ans = all_pairs_lca(self.DG, pairs=all_pairs)
+        self.assert_lca_dicts_same(dict(ans), self.gold)
+
+    def test_all_pairs_lca_input_graph_with_two_roots(self):
+        G = self.DG.copy()
+        G.add_edge(9, 10)
+        G.add_edge(9, 4)
+        gold = self.gold.copy()
+        gold[9, 9] = 9
+        gold[9, 10] = 9
+        gold[9, 4] = 9
+        gold[9, 3] = 9
+        gold[10, 4] = 9
+        gold[10, 3] = 9
+        gold[10, 10] = 10
+
+        testing = dict(all_pairs_lca(G))
+
+        G.add_edge(-1, 9)
+        G.add_edge(-1, 0)
+        self.assert_lca_dicts_same(testing, gold, G)
+
+    def test_all_pairs_lca_nonexisting_pairs_exception(self):
+        pytest.raises(nx.NodeNotFound, all_pairs_lca, self.DG, [(-1, -1)])
+
+    def test_all_pairs_lca_pairs_without_lca(self):
+        G = self.DG.copy()
+        G.add_node(-1)
+        gen = all_pairs_lca(G, [(-1, -1), (-1, 0)])
+        assert dict(gen) == {(-1, -1): -1}
+
+    def test_all_pairs_lca_null_graph(self):
+        pytest.raises(nx.NetworkXPointlessConcept, all_pairs_lca, nx.DiGraph())
+
+    def test_all_pairs_lca_non_dags(self):
+        pytest.raises(nx.NetworkXError, all_pairs_lca, nx.DiGraph([(3, 4), (4, 3)]))
+
+    def test_all_pairs_lca_nonempty_graph_without_lca(self):
+        G = nx.DiGraph()
+        G.add_node(3)
+        ans = list(all_pairs_lca(G))
+        assert ans == [((3, 3), 3)]
+
+    def test_all_pairs_lca_bug_gh4942(self):
+        G = nx.DiGraph([(0, 2), (1, 2), (2, 3)])
+        ans = list(all_pairs_lca(G))
+        assert len(ans) == 9
+
+    def test_all_pairs_lca_default_kwarg(self):
+        G = nx.DiGraph([(0, 1), (2, 1)])
+        sentinel = object()
+        assert nx.lowest_common_ancestor(G, 0, 2, default=sentinel) is sentinel
+
+    def test_all_pairs_lca_identity(self):
+        G = nx.DiGraph()
+        G.add_node(3)
+        assert nx.lowest_common_ancestor(G, 3, 3) == 3
+
+    def test_all_pairs_lca_issue_4574(self):
+        G = nx.DiGraph()
+        G.add_nodes_from(range(17))
+        G.add_edges_from(
+            [
+                (2, 0),
+                (1, 2),
+                (3, 2),
+                (5, 2),
+                (8, 2),
+                (11, 2),
+                (4, 5),
+                (6, 5),
+                (7, 8),
+                (10, 8),
+                (13, 11),
+                (14, 11),
+                (15, 11),
+                (9, 10),
+                (12, 13),
+                (16, 15),
+            ]
+        )
+
+        assert nx.lowest_common_ancestor(G, 7, 9) == None
+
+    def test_all_pairs_lca_one_pair_gh4942(self):
+        G = nx.DiGraph()
+        # Note: order edge addition is critical to the test
+        G.add_edge(0, 1)
+        G.add_edge(2, 0)
+        G.add_edge(2, 3)
+        G.add_edge(4, 0)
+        G.add_edge(5, 2)
+
+        assert nx.lowest_common_ancestor(G, 1, 3) == 2
+
+
+class TestMultiDiGraph_DAGLCA(TestDAGLCA):
+    @classmethod
+    def setup_class(cls):
+        cls.DG = nx.MultiDiGraph()
+        nx.add_path(cls.DG, (0, 1, 2, 3))
+        # add multiedges
+        nx.add_path(cls.DG, (0, 1, 2, 3))
+        nx.add_path(cls.DG, (0, 4, 3))
+        nx.add_path(cls.DG, (0, 5, 6, 8, 3))
+        nx.add_path(cls.DG, (5, 7, 8))
+        cls.DG.add_edge(6, 2)
+        cls.DG.add_edge(7, 2)
+
+        cls.root_distance = nx.shortest_path_length(cls.DG, source=0)
+
+        cls.gold = {
+            (1, 1): 1,
+            (1, 2): 1,
+            (1, 3): 1,
+            (1, 4): 0,
+            (1, 5): 0,
+            (1, 6): 0,
+            (1, 7): 0,
+            (1, 8): 0,
+            (2, 2): 2,
+            (2, 3): 2,
+            (2, 4): 0,
+            (2, 5): 5,
+            (2, 6): 6,
+            (2, 7): 7,
+            (2, 8): 7,
+            (3, 3): 3,
+            (3, 4): 4,
+            (3, 5): 5,
+            (3, 6): 6,
+            (3, 7): 7,
+            (3, 8): 8,
+            (4, 4): 4,
+            (4, 5): 0,
+            (4, 6): 0,
+            (4, 7): 0,
+            (4, 8): 0,
+            (5, 5): 5,
+            (5, 6): 5,
+            (5, 7): 5,
+            (5, 8): 5,
+            (6, 6): 6,
+            (6, 7): 5,
+            (6, 8): 6,
+            (7, 7): 7,
+            (7, 8): 7,
+            (8, 8): 8,
+        }
+        cls.gold.update(((0, n), 0) for n in cls.DG)
+
+
+def test_all_pairs_lca_self_ancestors():
+    """Self-ancestors should always be the node itself, i.e. lca of (0, 0) is 0.
+    See gh-4458."""
+    # DAG for test - note order of node/edge addition is relevant
+    G = nx.DiGraph()
+    G.add_nodes_from(range(5))
+    G.add_edges_from([(1, 0), (2, 0), (3, 2), (4, 1), (4, 3)])
+
+    ap_lca = nx.all_pairs_lowest_common_ancestor
+    assert all(u == v == a for (u, v), a in ap_lca(G) if u == v)
+    MG = nx.MultiDiGraph(G)
+    assert all(u == v == a for (u, v), a in ap_lca(MG) if u == v)
+    MG.add_edges_from([(1, 0), (2, 0)])
+    assert all(u == v == a for (u, v), a in ap_lca(MG) if u == v)

valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_max_weight_clique.py

@@ -0,0 +1,181 @@
+"""Maximum weight clique test suite.
+
+"""
+
+import pytest
+
+import networkx as nx
+
+
+class TestMaximumWeightClique:
+    def test_basic_cases(self):
+        def check_basic_case(graph_func, expected_weight, weight_accessor):
+            graph = graph_func()
+            clique, weight = nx.algorithms.max_weight_clique(graph, weight_accessor)
+            assert verify_clique(
+                graph, clique, weight, expected_weight, weight_accessor
+            )
+
+        for graph_func, (expected_weight, expected_size) in TEST_CASES.items():
+            check_basic_case(graph_func, expected_weight, "weight")
+            check_basic_case(graph_func, expected_size, None)
+
+    def test_key_error(self):
+        graph = two_node_graph()
+        with pytest.raises(KeyError):
+            nx.algorithms.max_weight_clique(graph, "nonexistent-key")
+
+    def test_error_on_non_integer_weight(self):
+        graph = two_node_graph()
+        graph.nodes[2]["weight"] = 1.5
+        with pytest.raises(ValueError):
+            nx.algorithms.max_weight_clique(graph)
+
+    def test_unaffected_by_self_loops(self):
+        graph = two_node_graph()
+        graph.add_edge(1, 1)
+        graph.add_edge(2, 2)
+        clique, weight = nx.algorithms.max_weight_clique(graph, "weight")
+        assert verify_clique(graph, clique, weight, 30, "weight")
+        graph = three_node_independent_set()
+        graph.add_edge(1, 1)
+        clique, weight = nx.algorithms.max_weight_clique(graph, "weight")
+        assert verify_clique(graph, clique, weight, 20, "weight")
+
+    def test_30_node_prob(self):
+        G = nx.Graph()
+        G.add_nodes_from(range(1, 31))
+        for i in range(1, 31):
+            G.nodes[i]["weight"] = i + 1
+        # fmt: off
+        G.add_edges_from(
+            [
+                (1, 12), (1, 13), (1, 15), (1, 16), (1, 18), (1, 19), (1, 20),
+                (1, 23), (1, 26), (1, 28), (1, 29), (1, 30), (2, 3), (2, 4),
+                (2, 5), (2, 8), (2, 9), (2, 10), (2, 14), (2, 17), (2, 18),
+                (2, 21), (2, 22), (2, 23), (2, 27), (3, 9), (3, 15), (3, 21),
+                (3, 22), (3, 23), (3, 24), (3, 27), (3, 28), (3, 29), (4, 5),
+                (4, 6), (4, 8), (4, 21), (4, 22), (4, 23), (4, 26), (4, 28),
+                (4, 30), (5, 6), (5, 8), (5, 9), (5, 13), (5, 14), (5, 15),
+                (5, 16), (5, 20), (5, 21), (5, 22), (5, 25), (5, 28), (5, 29),
+                (6, 7), (6, 8), (6, 13), (6, 17), (6, 18), (6, 19), (6, 24),
+                (6, 26), (6, 27), (6, 28), (6, 29), (7, 12), (7, 14), (7, 15),
+                (7, 16), (7, 17), (7, 20), (7, 25), (7, 27), (7, 29), (7, 30),
+                (8, 10), (8, 15), (8, 16), (8, 18), (8, 20), (8, 22), (8, 24),
+                (8, 26), (8, 27), (8, 28), (8, 30), (9, 11), (9, 12), (9, 13),
+                (9, 14), (9, 15), (9, 16), (9, 19), (9, 20), (9, 21), (9, 24),
+                (9, 30), (10, 12), (10, 15), (10, 18), (10, 19), (10, 20),
+                (10, 22), (10, 23), (10, 24), (10, 26), (10, 27), (10, 29),
+                (10, 30), (11, 13), (11, 15), (11, 16), (11, 17), (11, 18),
+                (11, 19), (11, 20), (11, 22), (11, 29), (11, 30), (12, 14),
+                (12, 17), (12, 18), (12, 19), (12, 20), (12, 21), (12, 23),
+                (12, 25), (12, 26), (12, 30), (13, 20), (13, 22), (13, 23),
+                (13, 24), (13, 30), (14, 16), (14, 20), (14, 21), (14, 22),
+                (14, 23), (14, 25), (14, 26), (14, 27), (14, 29), (14, 30),
+                (15, 17), (15, 18), (15, 20), (15, 21), (15, 26), (15, 27),
+                (15, 28), (16, 17), (16, 18), (16, 19), (16, 20), (16, 21),
+                (16, 29), (16, 30), (17, 18), (17, 21), (17, 22), (17, 25),
+                (17, 27), (17, 28), (17, 30), (18, 19), (18, 20), (18, 21),
+                (18, 22), (18, 23), (18, 24), (19, 20), (19, 22), (19, 23),
+                (19, 24), (19, 25), (19, 27), (19, 30), (20, 21), (20, 23),
+                (20, 24), (20, 26), (20, 28), (20, 29), (21, 23), (21, 26),
+                (21, 27), (21, 29), (22, 24), (22, 25), (22, 26), (22, 29),
+                (23, 25), (23, 30), (24, 25), (24, 26), (25, 27), (25, 29),
+                (26, 27), (26, 28), (26, 30), (28, 29), (29, 30),
+            ]
+        )
+        # fmt: on
+        clique, weight = nx.algorithms.max_weight_clique(G)
+        assert verify_clique(G, clique, weight, 111, "weight")
+
+
+#  ############################  Utility functions ############################
+def verify_clique(
+    graph, clique, reported_clique_weight, expected_clique_weight, weight_accessor
+):
+    for node1 in clique:
+        for node2 in clique:
+            if node1 == node2:
+                continue
+            if not graph.has_edge(node1, node2):
+                return False
+
+    if weight_accessor is None:
+        clique_weight = len(clique)
+    else:
+        clique_weight = sum(graph.nodes[v]["weight"] for v in clique)
+
+    if clique_weight != expected_clique_weight:
+        return False
+    if clique_weight != reported_clique_weight:
+        return False
+
+    return True
+
+
+#  ############################  Graph Generation ############################
+
+
+def empty_graph():
+    return nx.Graph()
+
+
+def one_node_graph():
+    graph = nx.Graph()
+    graph.add_nodes_from([1])
+    graph.nodes[1]["weight"] = 10
+    return graph
+
+
+def two_node_graph():
+    graph = nx.Graph()
+    graph.add_nodes_from([1, 2])
+    graph.add_edges_from([(1, 2)])
+    graph.nodes[1]["weight"] = 10
+    graph.nodes[2]["weight"] = 20
+    return graph
+
+
+def three_node_clique():
+    graph = nx.Graph()
+    graph.add_nodes_from([1, 2, 3])
+    graph.add_edges_from([(1, 2), (1, 3), (2, 3)])
+    graph.nodes[1]["weight"] = 10
+    graph.nodes[2]["weight"] = 20
+    graph.nodes[3]["weight"] = 5
+    return graph
+
+
+def three_node_independent_set():
+    graph = nx.Graph()
+    graph.add_nodes_from([1, 2, 3])
+    graph.nodes[1]["weight"] = 10
+    graph.nodes[2]["weight"] = 20
+    graph.nodes[3]["weight"] = 5
+    return graph
+
+
+def disconnected():
+    graph = nx.Graph()
+    graph.add_edges_from([(1, 2), (2, 3), (4, 5), (5, 6)])
+    graph.nodes[1]["weight"] = 10
+    graph.nodes[2]["weight"] = 20
+    graph.nodes[3]["weight"] = 5
+    graph.nodes[4]["weight"] = 100
+    graph.nodes[5]["weight"] = 200
+    graph.nodes[6]["weight"] = 50
+    return graph
+
+
+# --------------------------------------------------------------------------
+# Basic tests for all strategies
+# For each basic graph function, specify expected weight of max weight clique
+# and expected size of maximum clique
+TEST_CASES = {
+    empty_graph: (0, 0),
+    one_node_graph: (10, 1),
+    two_node_graph: (30, 2),
+    three_node_clique: (35, 3),
+    three_node_independent_set: (20, 1),
+    disconnected: (300, 2),
+}

valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_mis.py

@@ -0,0 +1,62 @@
+"""
+Tests for maximal (not maximum) independent sets.
+
+"""
+
+import random
+
+import pytest
+
+import networkx as nx
+
+
+def test_random_seed():
+    G = nx.empty_graph(5)
+    assert nx.maximal_independent_set(G, seed=1) == [1, 0, 3, 2, 4]
+
+
+@pytest.mark.parametrize("graph", [nx.complete_graph(5), nx.complete_graph(55)])
+def test_K5(graph):
+    """Maximal independent set for complete graphs"""
+    assert all(nx.maximal_independent_set(graph, [n]) == [n] for n in graph)
+
+
+def test_exceptions():
+    """Bad input should raise exception."""
+    G = nx.florentine_families_graph()
+    pytest.raises(nx.NetworkXUnfeasible, nx.maximal_independent_set, G, ["Smith"])
+    pytest.raises(
+        nx.NetworkXUnfeasible, nx.maximal_independent_set, G, ["Salviati", "Pazzi"]
+    )
+    # MaximalIndependentSet is not implemented for directed graphs
+    pytest.raises(nx.NetworkXNotImplemented, nx.maximal_independent_set, nx.DiGraph(G))
+
+
+def test_florentine_family():
+    G = nx.florentine_families_graph()
+    indep = nx.maximal_independent_set(G, ["Medici", "Bischeri"])
+    assert set(indep) == {
+        "Medici",
+        "Bischeri",
+        "Castellani",
+        "Pazzi",
+        "Ginori",
+        "Lamberteschi",
+    }
+
+
+def test_bipartite():
+    G = nx.complete_bipartite_graph(12, 34)
+    indep = nx.maximal_independent_set(G, [4, 5, 9, 10])
+    assert sorted(indep) == list(range(12))
+
+
+def test_random_graphs():
+    """Generate 5 random graphs of different types and sizes and
+    make sure that all sets are independent and maximal."""
+    for i in range(0, 50, 10):
+        G = nx.erdos_renyi_graph(i * 10 + 1, random.random())
+        IS = nx.maximal_independent_set(G)
+        assert G.subgraph(IS).number_of_edges() == 0
+        nbrs_of_MIS = set.union(*(set(G.neighbors(v)) for v in IS))
+        assert all(v in nbrs_of_MIS for v in set(G.nodes()).difference(IS))

valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_moral.py

@@ -0,0 +1,15 @@
+import networkx as nx
+from networkx.algorithms.moral import moral_graph
+
+
+def test_get_moral_graph():
+    graph = nx.DiGraph()
+    graph.add_nodes_from([1, 2, 3, 4, 5, 6, 7])
+    graph.add_edges_from([(1, 2), (3, 2), (4, 1), (4, 5), (6, 5), (7, 5)])
+    H = moral_graph(graph)
+    assert not H.is_directed()
+    assert H.has_edge(1, 3)
+    assert H.has_edge(4, 6)
+    assert H.has_edge(6, 7)
+    assert H.has_edge(4, 7)
+    assert not H.has_edge(1, 5)

valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_node_classification.py

@@ -0,0 +1,140 @@
+import pytest
+
+pytest.importorskip("numpy")
+pytest.importorskip("scipy")
+
+import networkx as nx
+from networkx.algorithms import node_classification
+
+
+class TestHarmonicFunction:
+    def test_path_graph(self):
+        G = nx.path_graph(4)
+        label_name = "label"
+        G.nodes[0][label_name] = "A"
+        G.nodes[3][label_name] = "B"
+        predicted = node_classification.harmonic_function(G, label_name=label_name)
+        assert predicted[0] == "A"
+        assert predicted[1] == "A"
+        assert predicted[2] == "B"
+        assert predicted[3] == "B"
+
+    def test_no_labels(self):
+        with pytest.raises(nx.NetworkXError):
+            G = nx.path_graph(4)
+            node_classification.harmonic_function(G)
+
+    def test_no_nodes(self):
+        with pytest.raises(nx.NetworkXError):
+            G = nx.Graph()
+            node_classification.harmonic_function(G)
+
+    def test_no_edges(self):
+        with pytest.raises(nx.NetworkXError):
+            G = nx.Graph()
+            G.add_node(1)
+            G.add_node(2)
+            node_classification.harmonic_function(G)
+
+    def test_digraph(self):
+        with pytest.raises(nx.NetworkXNotImplemented):
+            G = nx.DiGraph()
+            G.add_edge(0, 1)
+            G.add_edge(1, 2)
+            G.add_edge(2, 3)
+            label_name = "label"
+            G.nodes[0][label_name] = "A"
+            G.nodes[3][label_name] = "B"
+            node_classification.harmonic_function(G)
+
+    def test_one_labeled_node(self):
+        G = nx.path_graph(4)
+        label_name = "label"
+        G.nodes[0][label_name] = "A"
+        predicted = node_classification.harmonic_function(G, label_name=label_name)
+        assert predicted[0] == "A"
+        assert predicted[1] == "A"
+        assert predicted[2] == "A"
+        assert predicted[3] == "A"
+
+    def test_nodes_all_labeled(self):
+        G = nx.karate_club_graph()
+        label_name = "club"
+        predicted = node_classification.harmonic_function(G, label_name=label_name)
+        for i in range(len(G)):
+            assert predicted[i] == G.nodes[i][label_name]
+
+    def test_labeled_nodes_are_not_changed(self):
+        G = nx.karate_club_graph()
+        label_name = "club"
+        label_removed = {0, 1, 2, 3, 4, 5, 6, 7}
+        for i in label_removed:
+            del G.nodes[i][label_name]
+        predicted = node_classification.harmonic_function(G, label_name=label_name)
+        label_not_removed = set(range(len(G))) - label_removed
+        for i in label_not_removed:
+            assert predicted[i] == G.nodes[i][label_name]
+
+
+class TestLocalAndGlobalConsistency:
+    def test_path_graph(self):
+        G = nx.path_graph(4)
+        label_name = "label"
+        G.nodes[0][label_name] = "A"
+        G.nodes[3][label_name] = "B"
+        predicted = node_classification.local_and_global_consistency(
+            G, label_name=label_name
+        )
+        assert predicted[0] == "A"
+        assert predicted[1] == "A"
+        assert predicted[2] == "B"
+        assert predicted[3] == "B"
+
+    def test_no_labels(self):
+        with pytest.raises(nx.NetworkXError):
+            G = nx.path_graph(4)
+            node_classification.local_and_global_consistency(G)
+
+    def test_no_nodes(self):
+        with pytest.raises(nx.NetworkXError):
+            G = nx.Graph()
+            node_classification.local_and_global_consistency(G)
+
+    def test_no_edges(self):
+        with pytest.raises(nx.NetworkXError):
+            G = nx.Graph()
+            G.add_node(1)
+            G.add_node(2)
+            node_classification.local_and_global_consistency(G)
+
+    def test_digraph(self):
+        with pytest.raises(nx.NetworkXNotImplemented):
+            G = nx.DiGraph()
+            G.add_edge(0, 1)
+            G.add_edge(1, 2)
+            G.add_edge(2, 3)
+            label_name = "label"
+            G.nodes[0][label_name] = "A"
+            G.nodes[3][label_name] = "B"
+            node_classification.harmonic_function(G)
+
+    def test_one_labeled_node(self):
+        G = nx.path_graph(4)
+        label_name = "label"
+        G.nodes[0][label_name] = "A"
+        predicted = node_classification.local_and_global_consistency(
+            G, label_name=label_name
+        )
+        assert predicted[0] == "A"
+        assert predicted[1] == "A"
+        assert predicted[2] == "A"
+        assert predicted[3] == "A"
+
+    def test_nodes_all_labeled(self):
+        G = nx.karate_club_graph()
+        label_name = "club"
+        predicted = node_classification.local_and_global_consistency(
+            G, alpha=0, label_name=label_name
+        )
+        for i in range(len(G)):
+            assert predicted[i] == G.nodes[i][label_name]

valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_non_randomness.py

@@ -0,0 +1,37 @@
+import pytest
+
+import networkx as nx
+
+np = pytest.importorskip("numpy")
+
+
+@pytest.mark.parametrize(
+    "k, weight, expected",
+    [
+        (None, None, 7.21),  # infers 3 communities
+        (2, None, 11.7),
+        (None, "weight", 25.45),
+        (2, "weight", 38.8),
+    ],
+)
+def test_non_randomness(k, weight, expected):
+    G = nx.karate_club_graph()
+    np.testing.assert_almost_equal(
+        nx.non_randomness(G, k, weight)[0], expected, decimal=2
+    )
+
+
+def test_non_connected():
+    G = nx.Graph()
+    G.add_edge(1, 2)
+    G.add_node(3)
+    with pytest.raises(nx.NetworkXException):
+        nx.non_randomness(G)
+
+
+def test_self_loops():
+    G = nx.Graph()
+    G.add_edge(1, 2)
+    G.add_edge(1, 1)
+    with pytest.raises(nx.NetworkXError):
+        nx.non_randomness(G)

valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_planar_drawing.py

@@ -0,0 +1,274 @@
+import math
+
+import pytest
+
+import networkx as nx
+from networkx.algorithms.planar_drawing import triangulate_embedding
+
+
+def test_graph1():
+    embedding_data = {0: [1, 2, 3], 1: [2, 0], 2: [3, 0, 1], 3: [2, 0]}
+    check_embedding_data(embedding_data)
+
+
+def test_graph2():
+    embedding_data = {
+        0: [8, 6],
+        1: [2, 6, 9],
+        2: [8, 1, 7, 9, 6, 4],
+        3: [9],
+        4: [2],
+        5: [6, 8],
+        6: [9, 1, 0, 5, 2],
+        7: [9, 2],
+        8: [0, 2, 5],
+        9: [1, 6, 2, 7, 3],
+    }
+    check_embedding_data(embedding_data)
+
+
+def test_circle_graph():
+    embedding_data = {
+        0: [1, 9],
+        1: [0, 2],
+        2: [1, 3],
+        3: [2, 4],
+        4: [3, 5],
+        5: [4, 6],
+        6: [5, 7],
+        7: [6, 8],
+        8: [7, 9],
+        9: [8, 0],
+    }
+    check_embedding_data(embedding_data)
+
+
+def test_grid_graph():
+    embedding_data = {
+        (0, 1): [(0, 0), (1, 1), (0, 2)],
+        (1, 2): [(1, 1), (2, 2), (0, 2)],
+        (0, 0): [(0, 1), (1, 0)],
+        (2, 1): [(2, 0), (2, 2), (1, 1)],
+        (1, 1): [(2, 1), (1, 2), (0, 1), (1, 0)],
+        (2, 0): [(1, 0), (2, 1)],
+        (2, 2): [(1, 2), (2, 1)],
+        (1, 0): [(0, 0), (2, 0), (1, 1)],
+        (0, 2): [(1, 2), (0, 1)],
+    }
+    check_embedding_data(embedding_data)
+
+
+def test_one_node_graph():
+    embedding_data = {0: []}
+    check_embedding_data(embedding_data)
+
+
+def test_two_node_graph():
+    embedding_data = {0: [1], 1: [0]}
+    check_embedding_data(embedding_data)
+
+
+def test_three_node_graph():
+    embedding_data = {0: [1, 2], 1: [0, 2], 2: [0, 1]}
+    check_embedding_data(embedding_data)
+
+
+def test_multiple_component_graph1():
+    embedding_data = {0: [], 1: []}
+    check_embedding_data(embedding_data)
+
+
+def test_multiple_component_graph2():
+    embedding_data = {0: [1, 2], 1: [0, 2], 2: [0, 1], 3: [4, 5], 4: [3, 5], 5: [3, 4]}
+    check_embedding_data(embedding_data)
+
+
+def test_invalid_half_edge():
+    with pytest.raises(nx.NetworkXException):
+        embedding_data = {1: [2, 3, 4], 2: [1, 3, 4], 3: [1, 2, 4], 4: [1, 2, 3]}
+        embedding = nx.PlanarEmbedding()
+        embedding.set_data(embedding_data)
+        nx.combinatorial_embedding_to_pos(embedding)
+
+
+def test_triangulate_embedding1():
+    embedding = nx.PlanarEmbedding()
+    embedding.add_node(1)
+    expected_embedding = {1: []}
+    check_triangulation(embedding, expected_embedding)
+
+
+def test_triangulate_embedding2():
+    embedding = nx.PlanarEmbedding()
+    embedding.connect_components(1, 2)
+    expected_embedding = {1: [2], 2: [1]}
+    check_triangulation(embedding, expected_embedding)
+
+
+def check_triangulation(embedding, expected_embedding):
+    res_embedding, _ = triangulate_embedding(embedding, True)
+    assert (
+        res_embedding.get_data() == expected_embedding
+    ), "Expected embedding incorrect"
+    res_embedding, _ = triangulate_embedding(embedding, False)
+    assert (
+        res_embedding.get_data() == expected_embedding
+    ), "Expected embedding incorrect"
+
+
+def check_embedding_data(embedding_data):
+    """Checks that the planar embedding of the input is correct"""
+    embedding = nx.PlanarEmbedding()
+    embedding.set_data(embedding_data)
+    pos_fully = nx.combinatorial_embedding_to_pos(embedding, False)
+    msg = "Planar drawing does not conform to the embedding (fully triangulation)"
+    assert planar_drawing_conforms_to_embedding(embedding, pos_fully), msg
+    check_edge_intersections(embedding, pos_fully)
+    pos_internally = nx.combinatorial_embedding_to_pos(embedding, True)
+    msg = "Planar drawing does not conform to the embedding (internal triangulation)"
+    assert planar_drawing_conforms_to_embedding(embedding, pos_internally), msg
+    check_edge_intersections(embedding, pos_internally)
+
+
+def is_close(a, b, rel_tol=1e-09, abs_tol=0.0):
+    # Check if float numbers are basically equal, for python >=3.5 there is
+    # function for that in the standard library
+    return abs(a - b) <= max(rel_tol * max(abs(a), abs(b)), abs_tol)
+
+
+def point_in_between(a, b, p):
+    # checks if p is on the line between a and b
+    x1, y1 = a
+    x2, y2 = b
+    px, py = p
+    dist_1_2 = math.sqrt((x1 - x2) ** 2 + (y1 - y2) ** 2)
+    dist_1_p = math.sqrt((x1 - px) ** 2 + (y1 - py) ** 2)
+    dist_2_p = math.sqrt((x2 - px) ** 2 + (y2 - py) ** 2)
+    return is_close(dist_1_p + dist_2_p, dist_1_2)
+
+
+def check_edge_intersections(G, pos):
+    """Check all edges in G for intersections.
+
+    Raises an exception if an intersection is found.
+
+    Parameters
+    ----------
+    G : NetworkX graph
+    pos : dict
+        Maps every node to a tuple (x, y) representing its position
+
+    """
+    for a, b in G.edges():
+        for c, d in G.edges():
+            # Check if end points are different
+            if a != c and b != d and b != c and a != d:
+                x1, y1 = pos[a]
+                x2, y2 = pos[b]
+                x3, y3 = pos[c]
+                x4, y4 = pos[d]
+                determinant = (x1 - x2) * (y3 - y4) - (y1 - y2) * (x3 - x4)
+                if determinant != 0:  # the lines are not parallel
+                    # calculate intersection point, see:
+                    # https://en.wikipedia.org/wiki/Line%E2%80%93line_intersection
+                    px = (x1 * y2 - y1 * x2) * (x3 - x4) - (x1 - x2) * (
+                        x3 * y4 - y3 * x4
+                    ) / determinant
+                    py = (x1 * y2 - y1 * x2) * (y3 - y4) - (y1 - y2) * (
+                        x3 * y4 - y3 * x4
+                    ) / determinant
+
+                    # Check if intersection lies between the points
+                    if point_in_between(pos[a], pos[b], (px, py)) and point_in_between(
+                        pos[c], pos[d], (px, py)
+                    ):
+                        msg = f"There is an intersection at {px},{py}"
+                        raise nx.NetworkXException(msg)
+
+                #  Check overlap
+                msg = "A node lies on a edge connecting two other nodes"
+                if (
+                    point_in_between(pos[a], pos[b], pos[c])
+                    or point_in_between(pos[a], pos[b], pos[d])
+                    or point_in_between(pos[c], pos[d], pos[a])
+                    or point_in_between(pos[c], pos[d], pos[b])
+                ):
+                    raise nx.NetworkXException(msg)
+    # No edge intersection found
+
+
+class Vector:
+    """Compare vectors by their angle without loss of precision
+
+    All vectors in direction [0, 1] are the smallest.
+    The vectors grow in clockwise direction.
+    """
+
+    __slots__ = ["x", "y", "node", "quadrant"]
+
+    def __init__(self, x, y, node):
+        self.x = x
+        self.y = y
+        self.node = node
+        if self.x >= 0 and self.y > 0:
+            self.quadrant = 1
+        elif self.x > 0 and self.y <= 0:
+            self.quadrant = 2
+        elif self.x <= 0 and self.y < 0:
+            self.quadrant = 3
+        else:
+            self.quadrant = 4
+
+    def __eq__(self, other):
+        return self.quadrant == other.quadrant and self.x * other.y == self.y * other.x
+
+    def __lt__(self, other):
+        if self.quadrant < other.quadrant:
+            return True
+        elif self.quadrant > other.quadrant:
+            return False
+        else:
+            return self.x * other.y < self.y * other.x
+
+    def __ne__(self, other):
+        return self != other
+
+    def __le__(self, other):
+        return not other < self
+
+    def __gt__(self, other):
+        return other < self
+
+    def __ge__(self, other):
+        return not self < other
+
+
+def planar_drawing_conforms_to_embedding(embedding, pos):
+    """Checks if pos conforms to the planar embedding
+
+    Returns true iff the neighbors are actually oriented in the orientation
+    specified of the embedding
+    """
+    for v in embedding:
+        nbr_vectors = []
+        v_pos = pos[v]
+        for nbr in embedding[v]:
+            new_vector = Vector(pos[nbr][0] - v_pos[0], pos[nbr][1] - v_pos[1], nbr)
+            nbr_vectors.append(new_vector)
+        # Sort neighbors according to their phi angle
+        nbr_vectors.sort()
+        for idx, nbr_vector in enumerate(nbr_vectors):
+            cw_vector = nbr_vectors[(idx + 1) % len(nbr_vectors)]
+            ccw_vector = nbr_vectors[idx - 1]
+            if (
+                embedding[v][nbr_vector.node]["cw"] != cw_vector.node
+                or embedding[v][nbr_vector.node]["ccw"] != ccw_vector.node
+            ):
+                return False
+            if cw_vector.node != nbr_vector.node and cw_vector == nbr_vector:
+                # Lines overlap
+                return False
+            if ccw_vector.node != nbr_vector.node and ccw_vector == nbr_vector:
+                # Lines overlap
+                return False
+    return True

valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_planarity.py

@@ -0,0 +1,535 @@
+import pytest
+
+import networkx as nx
+from networkx.algorithms.planarity import (
+    check_planarity_recursive,
+    get_counterexample,
+    get_counterexample_recursive,
+)
+
+
+class TestLRPlanarity:
+    """Nose Unit tests for the :mod:`networkx.algorithms.planarity` module.
+
+    Tests three things:
+    1. Check that the result is correct
+        (returns planar if and only if the graph is actually planar)
+    2. In case a counter example is returned: Check if it is correct
+    3. In case an embedding is returned: Check if its actually an embedding
+    """
+
+    @staticmethod
+    def check_graph(G, is_planar=None):
+        """Raises an exception if the lr_planarity check returns a wrong result
+
+        Parameters
+        ----------
+        G : NetworkX graph
+        is_planar : bool
+            The expected result of the planarity check.
+            If set to None only counter example or embedding are verified.
+
+        """
+
+        # obtain results of planarity check
+        is_planar_lr, result = nx.check_planarity(G, True)
+        is_planar_lr_rec, result_rec = check_planarity_recursive(G, True)
+
+        if is_planar is not None:
+            # set a message for the assert
+            if is_planar:
+                msg = "Wrong planarity check result. Should be planar."
+            else:
+                msg = "Wrong planarity check result. Should be non-planar."
+
+            # check if the result is as expected
+            assert is_planar == is_planar_lr, msg
+            assert is_planar == is_planar_lr_rec, msg
+
+        if is_planar_lr:
+            # check embedding
+            check_embedding(G, result)
+            check_embedding(G, result_rec)
+        else:
+            # check counter example
+            check_counterexample(G, result)
+            check_counterexample(G, result_rec)
+
+    def test_simple_planar_graph(self):
+        e = [
+            (1, 2),
+            (2, 3),
+            (3, 4),
+            (4, 6),
+            (6, 7),
+            (7, 1),
+            (1, 5),
+            (5, 2),
+            (2, 4),
+            (4, 5),
+            (5, 7),
+        ]
+        self.check_graph(nx.Graph(e), is_planar=True)
+
+    def test_planar_with_selfloop(self):
+        e = [
+            (1, 1),
+            (2, 2),
+            (3, 3),
+            (4, 4),
+            (5, 5),
+            (1, 2),
+            (1, 3),
+            (1, 5),
+            (2, 5),
+            (2, 4),
+            (3, 4),
+            (3, 5),
+            (4, 5),
+        ]
+        self.check_graph(nx.Graph(e), is_planar=True)
+
+    def test_k3_3(self):
+        self.check_graph(nx.complete_bipartite_graph(3, 3), is_planar=False)
+
+    def test_k5(self):
+        self.check_graph(nx.complete_graph(5), is_planar=False)
+
+    def test_multiple_components_planar(self):
+        e = [(1, 2), (2, 3), (3, 1), (4, 5), (5, 6), (6, 4)]
+        self.check_graph(nx.Graph(e), is_planar=True)
+
+    def test_multiple_components_non_planar(self):
+        G = nx.complete_graph(5)
+        # add another planar component to the non planar component
+        # G stays non planar
+        G.add_edges_from([(6, 7), (7, 8), (8, 6)])
+        self.check_graph(G, is_planar=False)
+
+    def test_non_planar_with_selfloop(self):
+        G = nx.complete_graph(5)
+        # add self loops
+        for i in range(5):
+            G.add_edge(i, i)
+        self.check_graph(G, is_planar=False)
+
+    def test_non_planar1(self):
+        # tests a graph that has no subgraph directly isomorph to K5 or K3_3
+        e = [
+            (1, 5),
+            (1, 6),
+            (1, 7),
+            (2, 6),
+            (2, 3),
+            (3, 5),
+            (3, 7),
+            (4, 5),
+            (4, 6),
+            (4, 7),
+        ]
+        self.check_graph(nx.Graph(e), is_planar=False)
+
+    def test_loop(self):
+        # test a graph with a selfloop
+        e = [(1, 2), (2, 2)]
+        G = nx.Graph(e)
+        self.check_graph(G, is_planar=True)
+
+    def test_comp(self):
+        # test multiple component graph
+        e = [(1, 2), (3, 4)]
+        G = nx.Graph(e)
+        G.remove_edge(1, 2)
+        self.check_graph(G, is_planar=True)
+
+    def test_goldner_harary(self):
+        # test goldner-harary graph (a maximal planar graph)
+        e = [
+            (1, 2),
+            (1, 3),
+            (1, 4),
+            (1, 5),
+            (1, 7),
+            (1, 8),
+            (1, 10),
+            (1, 11),
+            (2, 3),
+            (2, 4),
+            (2, 6),
+            (2, 7),
+            (2, 9),
+            (2, 10),
+            (2, 11),
+            (3, 4),
+            (4, 5),
+            (4, 6),
+            (4, 7),
+            (5, 7),
+            (6, 7),
+            (7, 8),
+            (7, 9),
+            (7, 10),
+            (8, 10),
+            (9, 10),
+            (10, 11),
+        ]
+        G = nx.Graph(e)
+        self.check_graph(G, is_planar=True)
+
+    def test_planar_multigraph(self):
+        G = nx.MultiGraph([(1, 2), (1, 2), (1, 2), (1, 2), (2, 3), (3, 1)])
+        self.check_graph(G, is_planar=True)
+
+    def test_non_planar_multigraph(self):
+        G = nx.MultiGraph(nx.complete_graph(5))
+        G.add_edges_from([(1, 2)] * 5)
+        self.check_graph(G, is_planar=False)
+
+    def test_planar_digraph(self):
+        G = nx.DiGraph([(1, 2), (2, 3), (2, 4), (4, 1), (4, 2), (1, 4), (3, 2)])
+        self.check_graph(G, is_planar=True)
+
+    def test_non_planar_digraph(self):
+        G = nx.DiGraph(nx.complete_graph(5))
+        G.remove_edge(1, 2)
+        G.remove_edge(4, 1)
+        self.check_graph(G, is_planar=False)
+
+    def test_single_component(self):
+        # Test a graph with only a single node
+        G = nx.Graph()
+        G.add_node(1)
+        self.check_graph(G, is_planar=True)
+
+    def test_graph1(self):
+        G = nx.Graph(
+            [
+                (3, 10),
+                (2, 13),
+                (1, 13),
+                (7, 11),
+                (0, 8),
+                (8, 13),
+                (0, 2),
+                (0, 7),
+                (0, 10),
+                (1, 7),
+            ]
+        )
+        self.check_graph(G, is_planar=True)
+
+    def test_graph2(self):
+        G = nx.Graph(
+            [
+                (1, 2),
+                (4, 13),
+                (0, 13),
+                (4, 5),
+                (7, 10),
+                (1, 7),
+                (0, 3),
+                (2, 6),
+                (5, 6),
+                (7, 13),
+                (4, 8),
+                (0, 8),
+                (0, 9),
+                (2, 13),
+                (6, 7),
+                (3, 6),
+                (2, 8),
+            ]
+        )
+        self.check_graph(G, is_planar=False)
+
+    def test_graph3(self):
+        G = nx.Graph(
+            [
+                (0, 7),
+                (3, 11),
+                (3, 4),
+                (8, 9),
+                (4, 11),
+                (1, 7),
+                (1, 13),
+                (1, 11),
+                (3, 5),
+                (5, 7),
+                (1, 3),
+                (0, 4),
+                (5, 11),
+                (5, 13),
+            ]
+        )
+        self.check_graph(G, is_planar=False)
+
+    def test_counterexample_planar(self):
+        with pytest.raises(nx.NetworkXException):
+            # Try to get a counterexample of a planar graph
+            G = nx.Graph()
+            G.add_node(1)
+            get_counterexample(G)
+
+    def test_counterexample_planar_recursive(self):
+        with pytest.raises(nx.NetworkXException):
+            # Try to get a counterexample of a planar graph
+            G = nx.Graph()
+            G.add_node(1)
+            get_counterexample_recursive(G)
+
+    def test_edge_removal_from_planar_embedding(self):
+        # PlanarEmbedding.check_structure() must succeed after edge removal
+        edges = ((0, 1), (1, 2), (2, 3), (3, 4), (4, 0), (0, 2), (0, 3))
+        G = nx.Graph(edges)
+        cert, P = nx.check_planarity(G)
+        assert cert is True
+        P.remove_edge(0, 2)
+        self.check_graph(P, is_planar=True)
+        P.add_half_edge_ccw(1, 3, 2)
+        P.add_half_edge_cw(3, 1, 2)
+        self.check_graph(P, is_planar=True)
+        P.remove_edges_from(((0, 3), (1, 3)))
+        self.check_graph(P, is_planar=True)
+
+
+def check_embedding(G, embedding):
+    """Raises an exception if the combinatorial embedding is not correct
+
+    Parameters
+    ----------
+    G : NetworkX graph
+    embedding : a dict mapping nodes to a list of edges
+        This specifies the ordering of the outgoing edges from a node for
+        a combinatorial embedding
+
+    Notes
+    -----
+    Checks the following things:
+        - The type of the embedding is correct
+        - The nodes and edges match the original graph
+        - Every half edge has its matching opposite half edge
+        - No intersections of edges (checked by Euler's formula)
+    """
+
+    if not isinstance(embedding, nx.PlanarEmbedding):
+        raise nx.NetworkXException("Bad embedding. Not of type nx.PlanarEmbedding")
+
+    # Check structure
+    embedding.check_structure()
+
+    # Check that graphs are equivalent
+
+    assert set(G.nodes) == set(
+        embedding.nodes
+    ), "Bad embedding. Nodes don't match the original graph."
+
+    # Check that the edges are equal
+    g_edges = set()
+    for edge in G.edges:
+        if edge[0] != edge[1]:
+            g_edges.add((edge[0], edge[1]))
+            g_edges.add((edge[1], edge[0]))
+    assert g_edges == set(
+        embedding.edges
+    ), "Bad embedding. Edges don't match the original graph."
+
+
+def check_counterexample(G, sub_graph):
+    """Raises an exception if the counterexample is wrong.
+
+    Parameters
+    ----------
+    G : NetworkX graph
+    subdivision_nodes : set
+        A set of nodes inducing a subgraph as a counterexample
+    """
+    # 1. Create the sub graph
+    sub_graph = nx.Graph(sub_graph)
+
+    # 2. Remove self loops
+    for u in sub_graph:
+        if sub_graph.has_edge(u, u):
+            sub_graph.remove_edge(u, u)
+
+    # keep track of nodes we might need to contract
+    contract = list(sub_graph)
+
+    # 3. Contract Edges
+    while len(contract) > 0:
+        contract_node = contract.pop()
+        if contract_node not in sub_graph:
+            # Node was already contracted
+            continue
+        degree = sub_graph.degree[contract_node]
+        # Check if we can remove the node
+        if degree == 2:
+            # Get the two neighbors
+            neighbors = iter(sub_graph[contract_node])
+            u = next(neighbors)
+            v = next(neighbors)
+            # Save nodes for later
+            contract.append(u)
+            contract.append(v)
+            # Contract edge
+            sub_graph.remove_node(contract_node)
+            sub_graph.add_edge(u, v)
+
+    # 4. Check for isomorphism with K5 or K3_3 graphs
+    if len(sub_graph) == 5:
+        if not nx.is_isomorphic(nx.complete_graph(5), sub_graph):
+            raise nx.NetworkXException("Bad counter example.")
+    elif len(sub_graph) == 6:
+        if not nx.is_isomorphic(nx.complete_bipartite_graph(3, 3), sub_graph):
+            raise nx.NetworkXException("Bad counter example.")
+    else:
+        raise nx.NetworkXException("Bad counter example.")
+
+
+class TestPlanarEmbeddingClass:
+    def test_add_half_edge(self):
+        embedding = nx.PlanarEmbedding()
+        embedding.add_half_edge(0, 1)
+        with pytest.raises(
+            nx.NetworkXException, match="Invalid clockwise reference node."
+        ):
+            embedding.add_half_edge(0, 2, cw=3)
+        with pytest.raises(
+            nx.NetworkXException, match="Invalid counterclockwise reference node."
+        ):
+            embedding.add_half_edge(0, 2, ccw=3)
+        with pytest.raises(
+            nx.NetworkXException, match="Only one of cw/ccw can be specified."
+        ):
+            embedding.add_half_edge(0, 2, cw=1, ccw=1)
+        with pytest.raises(
+            nx.NetworkXException,
+            match=(
+                r"Node already has out-half-edge\(s\), either"
+                " cw or ccw reference node required."
+            ),
+        ):
+            embedding.add_half_edge(0, 2)
+        # these should work
+        embedding.add_half_edge(0, 2, cw=1)
+        embedding.add_half_edge(0, 3, ccw=1)
+        assert sorted(embedding.edges(data=True)) == [
+            (0, 1, {"ccw": 2, "cw": 3}),
+            (0, 2, {"cw": 1, "ccw": 3}),
+            (0, 3, {"cw": 2, "ccw": 1}),
+        ]
+
+    def test_get_data(self):
+        embedding = self.get_star_embedding(4)
+        data = embedding.get_data()
+        data_cmp = {0: [3, 2, 1], 1: [0], 2: [0], 3: [0]}
+        assert data == data_cmp
+
+    def test_edge_removal(self):
+        embedding = nx.PlanarEmbedding()
+        embedding.set_data(
+            {
+                1: [2, 5, 7],
+                2: [1, 3, 4, 5],
+                3: [2, 4],
+                4: [3, 6, 5, 2],
+                5: [7, 1, 2, 4],
+                6: [4, 7],
+                7: [6, 1, 5],
+            }
+        )
+        # remove_edges_from() calls remove_edge(), so both are tested here
+        embedding.remove_edges_from(((5, 4), (1, 5)))
+        embedding.check_structure()
+        embedding_expected = nx.PlanarEmbedding()
+        embedding_expected.set_data(
+            {
+                1: [2, 7],
+                2: [1, 3, 4, 5],
+                3: [2, 4],
+                4: [3, 6, 2],
+                5: [7, 2],
+                6: [4, 7],
+                7: [6, 1, 5],
+            }
+        )
+        assert nx.utils.graphs_equal(embedding, embedding_expected)
+
+    def test_missing_edge_orientation(self):
+        embedding = nx.PlanarEmbedding({1: {2: {}}, 2: {1: {}}})
+        with pytest.raises(nx.NetworkXException):
+            # Invalid structure because the orientation of the edge was not set
+            embedding.check_structure()
+
+    def test_invalid_edge_orientation(self):
+        embedding = nx.PlanarEmbedding(
+            {
+                1: {2: {"cw": 2, "ccw": 2}},
+                2: {1: {"cw": 1, "ccw": 1}},
+                1: {3: {}},
+                3: {1: {}},
+            }
+        )
+        with pytest.raises(nx.NetworkXException):
+            embedding.check_structure()
+
+    def test_missing_half_edge(self):
+        embedding = nx.PlanarEmbedding()
+        embedding.add_half_edge(1, 2)
+        with pytest.raises(nx.NetworkXException):
+            # Invalid structure because other half edge is missing
+            embedding.check_structure()
+
+    def test_not_fulfilling_euler_formula(self):
+        embedding = nx.PlanarEmbedding()
+        for i in range(5):
+            ref = None
+            for j in range(5):
+                if i != j:
+                    embedding.add_half_edge(i, j, cw=ref)
+                    ref = j
+        with pytest.raises(nx.NetworkXException):
+            embedding.check_structure()
+
+    def test_missing_reference(self):
+        embedding = nx.PlanarEmbedding()
+        with pytest.raises(nx.NetworkXException, match="Invalid reference node."):
+            embedding.add_half_edge(1, 2, ccw=3)
+
+    def test_connect_components(self):
+        embedding = nx.PlanarEmbedding()
+        embedding.connect_components(1, 2)
+
+    def test_successful_face_traversal(self):
+        embedding = nx.PlanarEmbedding()
+        embedding.add_half_edge(1, 2)
+        embedding.add_half_edge(2, 1)
+        face = embedding.traverse_face(1, 2)
+        assert face == [1, 2]
+
+    def test_unsuccessful_face_traversal(self):
+        embedding = nx.PlanarEmbedding(
+            {1: {2: {"cw": 3, "ccw": 2}}, 2: {1: {"cw": 3, "ccw": 1}}}
+        )
+        with pytest.raises(nx.NetworkXException):
+            embedding.traverse_face(1, 2)
+
+    def test_forbidden_methods(self):
+        embedding = nx.PlanarEmbedding()
+        embedding.add_node(42)  # no exception
+        embedding.add_nodes_from([(23, 24)])  # no exception
+        with pytest.raises(NotImplementedError):
+            embedding.add_edge(1, 3)
+        with pytest.raises(NotImplementedError):
+            embedding.add_edges_from([(0, 2), (1, 4)])
+        with pytest.raises(NotImplementedError):
+            embedding.add_weighted_edges_from([(0, 2, 350), (1, 4, 125)])
+
+    @staticmethod
+    def get_star_embedding(n):
+        embedding = nx.PlanarEmbedding()
+        ref = None
+        for i in range(1, n):
+            embedding.add_half_edge(0, i, cw=ref)
+            ref = i
+            embedding.add_half_edge(i, 0)
+        return embedding

valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_regular.py

@@ -0,0 +1,92 @@
+import pytest
+
+import networkx
+import networkx as nx
+import networkx.algorithms.regular as reg
+import networkx.generators as gen
+
+
+class TestKFactor:
+    def test_k_factor_trivial(self):
+        g = gen.cycle_graph(4)
+        f = reg.k_factor(g, 2)
+        assert g.edges == f.edges
+
+    def test_k_factor1(self):
+        g = gen.grid_2d_graph(4, 4)
+        g_kf = reg.k_factor(g, 2)
+        for edge in g_kf.edges():
+            assert g.has_edge(edge[0], edge[1])
+        for _, degree in g_kf.degree():
+            assert degree == 2
+
+    def test_k_factor2(self):
+        g = gen.complete_graph(6)
+        g_kf = reg.k_factor(g, 3)
+        for edge in g_kf.edges():
+            assert g.has_edge(edge[0], edge[1])
+        for _, degree in g_kf.degree():
+            assert degree == 3
+
+    def test_k_factor3(self):
+        g = gen.grid_2d_graph(4, 4)
+        with pytest.raises(nx.NetworkXUnfeasible):
+            reg.k_factor(g, 3)
+
+    def test_k_factor4(self):
+        g = gen.lattice.hexagonal_lattice_graph(4, 4)
+        # Perfect matching doesn't exist for 4,4 hexagonal lattice graph
+        with pytest.raises(nx.NetworkXUnfeasible):
+            reg.k_factor(g, 2)
+
+    def test_k_factor5(self):
+        g = gen.complete_graph(6)
+        # small k to exercise SmallKGadget
+        g_kf = reg.k_factor(g, 2)
+        for edge in g_kf.edges():
+            assert g.has_edge(edge[0], edge[1])
+        for _, degree in g_kf.degree():
+            assert degree == 2
+
+
+class TestIsRegular:
+    def test_is_regular1(self):
+        g = gen.cycle_graph(4)
+        assert reg.is_regular(g)
+
+    def test_is_regular2(self):
+        g = gen.complete_graph(5)
+        assert reg.is_regular(g)
+
+    def test_is_regular3(self):
+        g = gen.lollipop_graph(5, 5)
+        assert not reg.is_regular(g)
+
+    def test_is_regular4(self):
+        g = nx.DiGraph()
+        g.add_edges_from([(0, 1), (1, 2), (2, 0)])
+        assert reg.is_regular(g)
+
+
+def test_is_regular_empty_graph_raises():
+    G = nx.Graph()
+    with pytest.raises(nx.NetworkXPointlessConcept, match="Graph has no nodes"):
+        nx.is_regular(G)
+
+
+class TestIsKRegular:
+    def test_is_k_regular1(self):
+        g = gen.cycle_graph(4)
+        assert reg.is_k_regular(g, 2)
+        assert not reg.is_k_regular(g, 3)
+
+    def test_is_k_regular2(self):
+        g = gen.complete_graph(5)
+        assert reg.is_k_regular(g, 4)
+        assert not reg.is_k_regular(g, 3)
+        assert not reg.is_k_regular(g, 6)
+
+    def test_is_k_regular3(self):
+        g = gen.lollipop_graph(5, 5)
+        assert not reg.is_k_regular(g, 5)
+        assert not reg.is_k_regular(g, 6)

valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_richclub.py

@@ -0,0 +1,149 @@
+import pytest
+
+import networkx as nx
+
+
+def test_richclub():
+    G = nx.Graph([(0, 1), (0, 2), (1, 2), (1, 3), (1, 4), (4, 5)])
+    rc = nx.richclub.rich_club_coefficient(G, normalized=False)
+    assert rc == {0: 12.0 / 30, 1: 8.0 / 12}
+
+    # test single value
+    rc0 = nx.richclub.rich_club_coefficient(G, normalized=False)[0]
+    assert rc0 == 12.0 / 30.0
+
+
+def test_richclub_seed():
+    G = nx.Graph([(0, 1), (0, 2), (1, 2), (1, 3), (1, 4), (4, 5)])
+    rcNorm = nx.richclub.rich_club_coefficient(G, Q=2, seed=1)
+    assert rcNorm == {0: 1.0, 1: 1.0}
+
+
+def test_richclub_normalized():
+    G = nx.Graph([(0, 1), (0, 2), (1, 2), (1, 3), (1, 4), (4, 5)])
+    rcNorm = nx.richclub.rich_club_coefficient(G, Q=2, seed=42)
+    assert rcNorm == {0: 1.0, 1: 1.0}
+
+
+def test_richclub2():
+    T = nx.balanced_tree(2, 10)
+    rc = nx.richclub.rich_club_coefficient(T, normalized=False)
+    assert rc == {
+        0: 4092 / (2047 * 2046.0),
+        1: (2044.0 / (1023 * 1022)),
+        2: (2040.0 / (1022 * 1021)),
+    }
+
+
+def test_richclub3():
+    # tests edgecase
+    G = nx.karate_club_graph()
+    rc = nx.rich_club_coefficient(G, normalized=False)
+    assert rc == {
+        0: 156.0 / 1122,
+        1: 154.0 / 1056,
+        2: 110.0 / 462,
+        3: 78.0 / 240,
+        4: 44.0 / 90,
+        5: 22.0 / 42,
+        6: 10.0 / 20,
+        7: 10.0 / 20,
+        8: 10.0 / 20,
+        9: 6.0 / 12,
+        10: 2.0 / 6,
+        11: 2.0 / 6,
+        12: 0.0,
+        13: 0.0,
+        14: 0.0,
+        15: 0.0,
+    }
+
+
+def test_richclub4():
+    G = nx.Graph()
+    G.add_edges_from(
+        [(0, 1), (0, 2), (0, 3), (0, 4), (4, 5), (5, 9), (6, 9), (7, 9), (8, 9)]
+    )
+    rc = nx.rich_club_coefficient(G, normalized=False)
+    assert rc == {0: 18 / 90.0, 1: 6 / 12.0, 2: 0.0, 3: 0.0}
+
+
+def test_richclub_exception():
+    with pytest.raises(nx.NetworkXNotImplemented):
+        G = nx.DiGraph()
+        nx.rich_club_coefficient(G)
+
+
+def test_rich_club_exception2():
+    with pytest.raises(nx.NetworkXNotImplemented):
+        G = nx.MultiGraph()
+        nx.rich_club_coefficient(G)
+
+
+def test_rich_club_selfloop():
+    G = nx.Graph()  # or DiGraph, MultiGraph, MultiDiGraph, etc
+    G.add_edge(1, 1)  # self loop
+    G.add_edge(1, 2)
+    with pytest.raises(
+        Exception,
+        match="rich_club_coefficient is not implemented for " "graphs with self loops.",
+    ):
+        nx.rich_club_coefficient(G)
+
+
+def test_rich_club_leq_3_nodes_unnormalized():
+    # edgeless graphs upto 3 nodes
+    G = nx.Graph()
+    rc = nx.rich_club_coefficient(G, normalized=False)
+    assert rc == {}
+
+    for i in range(3):
+        G.add_node(i)
+        rc = nx.rich_club_coefficient(G, normalized=False)
+        assert rc == {}
+
+    # 2 nodes, single edge
+    G = nx.Graph()
+    G.add_edge(0, 1)
+    rc = nx.rich_club_coefficient(G, normalized=False)
+    assert rc == {0: 1}
+
+    # 3 nodes, single edge
+    G = nx.Graph()
+    G.add_nodes_from([0, 1, 2])
+    G.add_edge(0, 1)
+    rc = nx.rich_club_coefficient(G, normalized=False)
+    assert rc == {0: 1}
+
+    # 3 nodes, 2 edges
+    G.add_edge(1, 2)
+    rc = nx.rich_club_coefficient(G, normalized=False)
+    assert rc == {0: 2 / 3}
+
+    # 3 nodes, 3 edges
+    G.add_edge(0, 2)
+    rc = nx.rich_club_coefficient(G, normalized=False)
+    assert rc == {0: 1, 1: 1}
+
+
+def test_rich_club_leq_3_nodes_normalized():
+    G = nx.Graph()
+    with pytest.raises(
+        nx.exception.NetworkXError,
+        match="Graph has fewer than four nodes",
+    ):
+        rc = nx.rich_club_coefficient(G, normalized=True)
+
+    for i in range(3):
+        G.add_node(i)
+        with pytest.raises(
+            nx.exception.NetworkXError,
+            match="Graph has fewer than four nodes",
+        ):
+            rc = nx.rich_club_coefficient(G, normalized=True)
+
+
+# def test_richclub2_normalized():
+#    T = nx.balanced_tree(2,10)
+#    rcNorm = nx.richclub.rich_club_coefficient(T,Q=2)
+#    assert_true(rcNorm[0] ==1.0 and rcNorm[1] < 0.9 and rcNorm[2] < 0.9)

valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_similarity.py

@@ -0,0 +1,946 @@
+import pytest
+
+import networkx as nx
+from networkx.algorithms.similarity import (
+    graph_edit_distance,
+    optimal_edit_paths,
+    optimize_graph_edit_distance,
+)
+from networkx.generators.classic import (
+    circular_ladder_graph,
+    cycle_graph,
+    path_graph,
+    wheel_graph,
+)
+
+
+def nmatch(n1, n2):
+    return n1 == n2
+
+
+def ematch(e1, e2):
+    return e1 == e2
+
+
+def getCanonical():
+    G = nx.Graph()
+    G.add_node("A", label="A")
+    G.add_node("B", label="B")
+    G.add_node("C", label="C")
+    G.add_node("D", label="D")
+    G.add_edge("A", "B", label="a-b")
+    G.add_edge("B", "C", label="b-c")
+    G.add_edge("B", "D", label="b-d")
+    return G
+
+
+class TestSimilarity:
+    @classmethod
+    def setup_class(cls):
+        global np
+        np = pytest.importorskip("numpy")
+        pytest.importorskip("scipy")
+
+    def test_graph_edit_distance_roots_and_timeout(self):
+        G0 = nx.star_graph(5)
+        G1 = G0.copy()
+        pytest.raises(ValueError, graph_edit_distance, G0, G1, roots=[2])
+        pytest.raises(ValueError, graph_edit_distance, G0, G1, roots=[2, 3, 4])
+        pytest.raises(nx.NodeNotFound, graph_edit_distance, G0, G1, roots=(9, 3))
+        pytest.raises(nx.NodeNotFound, graph_edit_distance, G0, G1, roots=(3, 9))
+        pytest.raises(nx.NodeNotFound, graph_edit_distance, G0, G1, roots=(9, 9))
+        assert graph_edit_distance(G0, G1, roots=(1, 2)) == 0
+        assert graph_edit_distance(G0, G1, roots=(0, 1)) == 8
+        assert graph_edit_distance(G0, G1, roots=(1, 2), timeout=5) == 0
+        assert graph_edit_distance(G0, G1, roots=(0, 1), timeout=5) == 8
+        assert graph_edit_distance(G0, G1, roots=(0, 1), timeout=0.0001) is None
+        # test raise on 0 timeout
+        pytest.raises(nx.NetworkXError, graph_edit_distance, G0, G1, timeout=0)
+
+    def test_graph_edit_distance(self):
+        G0 = nx.Graph()
+        G1 = path_graph(6)
+        G2 = cycle_graph(6)
+        G3 = wheel_graph(7)
+
+        assert graph_edit_distance(G0, G0) == 0
+        assert graph_edit_distance(G0, G1) == 11
+        assert graph_edit_distance(G1, G0) == 11
+        assert graph_edit_distance(G0, G2) == 12
+        assert graph_edit_distance(G2, G0) == 12
+        assert graph_edit_distance(G0, G3) == 19
+        assert graph_edit_distance(G3, G0) == 19
+
+        assert graph_edit_distance(G1, G1) == 0
+        assert graph_edit_distance(G1, G2) == 1
+        assert graph_edit_distance(G2, G1) == 1
+        assert graph_edit_distance(G1, G3) == 8
+        assert graph_edit_distance(G3, G1) == 8
+
+        assert graph_edit_distance(G2, G2) == 0
+        assert graph_edit_distance(G2, G3) == 7
+        assert graph_edit_distance(G3, G2) == 7
+
+        assert graph_edit_distance(G3, G3) == 0
+
+    def test_graph_edit_distance_node_match(self):
+        G1 = cycle_graph(5)
+        G2 = cycle_graph(5)
+        for n, attr in G1.nodes.items():
+            attr["color"] = "red" if n % 2 == 0 else "blue"
+        for n, attr in G2.nodes.items():
+            attr["color"] = "red" if n % 2 == 1 else "blue"
+        assert graph_edit_distance(G1, G2) == 0
+        assert (
+            graph_edit_distance(
+                G1, G2, node_match=lambda n1, n2: n1["color"] == n2["color"]
+            )
+            == 1
+        )
+
+    def test_graph_edit_distance_edge_match(self):
+        G1 = path_graph(6)
+        G2 = path_graph(6)
+        for e, attr in G1.edges.items():
+            attr["color"] = "red" if min(e) % 2 == 0 else "blue"
+        for e, attr in G2.edges.items():
+            attr["color"] = "red" if min(e) // 3 == 0 else "blue"
+        assert graph_edit_distance(G1, G2) == 0
+        assert (
+            graph_edit_distance(
+                G1, G2, edge_match=lambda e1, e2: e1["color"] == e2["color"]
+            )
+            == 2
+        )
+
+    def test_graph_edit_distance_node_cost(self):
+        G1 = path_graph(6)
+        G2 = path_graph(6)
+        for n, attr in G1.nodes.items():
+            attr["color"] = "red" if n % 2 == 0 else "blue"
+        for n, attr in G2.nodes.items():
+            attr["color"] = "red" if n % 2 == 1 else "blue"
+
+        def node_subst_cost(uattr, vattr):
+            if uattr["color"] == vattr["color"]:
+                return 1
+            else:
+                return 10
+
+        def node_del_cost(attr):
+            if attr["color"] == "blue":
+                return 20
+            else:
+                return 50
+
+        def node_ins_cost(attr):
+            if attr["color"] == "blue":
+                return 40
+            else:
+                return 100
+
+        assert (
+            graph_edit_distance(
+                G1,
+                G2,
+                node_subst_cost=node_subst_cost,
+                node_del_cost=node_del_cost,
+                node_ins_cost=node_ins_cost,
+            )
+            == 6
+        )
+
+    def test_graph_edit_distance_edge_cost(self):
+        G1 = path_graph(6)
+        G2 = path_graph(6)
+        for e, attr in G1.edges.items():
+            attr["color"] = "red" if min(e) % 2 == 0 else "blue"
+        for e, attr in G2.edges.items():
+            attr["color"] = "red" if min(e) // 3 == 0 else "blue"
+
+        def edge_subst_cost(gattr, hattr):
+            if gattr["color"] == hattr["color"]:
+                return 0.01
+            else:
+                return 0.1
+
+        def edge_del_cost(attr):
+            if attr["color"] == "blue":
+                return 0.2
+            else:
+                return 0.5
+
+        def edge_ins_cost(attr):
+            if attr["color"] == "blue":
+                return 0.4
+            else:
+                return 1.0
+
+        assert (
+            graph_edit_distance(
+                G1,
+                G2,
+                edge_subst_cost=edge_subst_cost,
+                edge_del_cost=edge_del_cost,
+                edge_ins_cost=edge_ins_cost,
+            )
+            == 0.23
+        )
+
+    def test_graph_edit_distance_upper_bound(self):
+        G1 = circular_ladder_graph(2)
+        G2 = circular_ladder_graph(6)
+        assert graph_edit_distance(G1, G2, upper_bound=5) is None
+        assert graph_edit_distance(G1, G2, upper_bound=24) == 22
+        assert graph_edit_distance(G1, G2) == 22
+
+    def test_optimal_edit_paths(self):
+        G1 = path_graph(3)
+        G2 = cycle_graph(3)
+        paths, cost = optimal_edit_paths(G1, G2)
+        assert cost == 1
+        assert len(paths) == 6
+
+        def canonical(vertex_path, edge_path):
+            return (
+                tuple(sorted(vertex_path)),
+                tuple(sorted(edge_path, key=lambda x: (None in x, x))),
+            )
+
+        expected_paths = [
+            (
+                [(0, 0), (1, 1), (2, 2)],
+                [((0, 1), (0, 1)), ((1, 2), (1, 2)), (None, (0, 2))],
+            ),
+            (
+                [(0, 0), (1, 2), (2, 1)],
+                [((0, 1), (0, 2)), ((1, 2), (1, 2)), (None, (0, 1))],
+            ),
+            (
+                [(0, 1), (1, 0), (2, 2)],
+                [((0, 1), (0, 1)), ((1, 2), (0, 2)), (None, (1, 2))],
+            ),
+            (
+                [(0, 1), (1, 2), (2, 0)],
+                [((0, 1), (1, 2)), ((1, 2), (0, 2)), (None, (0, 1))],
+            ),
+            (
+                [(0, 2), (1, 0), (2, 1)],
+                [((0, 1), (0, 2)), ((1, 2), (0, 1)), (None, (1, 2))],
+            ),
+            (
+                [(0, 2), (1, 1), (2, 0)],
+                [((0, 1), (1, 2)), ((1, 2), (0, 1)), (None, (0, 2))],
+            ),
+        ]
+        assert {canonical(*p) for p in paths} == {canonical(*p) for p in expected_paths}
+
+    def test_optimize_graph_edit_distance(self):
+        G1 = circular_ladder_graph(2)
+        G2 = circular_ladder_graph(6)
+        bestcost = 1000
+        for cost in optimize_graph_edit_distance(G1, G2):
+            assert cost < bestcost
+            bestcost = cost
+        assert bestcost == 22
+
+    # def test_graph_edit_distance_bigger(self):
+    #     G1 = circular_ladder_graph(12)
+    #     G2 = circular_ladder_graph(16)
+    #     assert_equal(graph_edit_distance(G1, G2), 22)
+
+    def test_selfloops(self):
+        G0 = nx.Graph()
+        G1 = nx.Graph()
+        G1.add_edges_from((("A", "A"), ("A", "B")))
+        G2 = nx.Graph()
+        G2.add_edges_from((("A", "B"), ("B", "B")))
+        G3 = nx.Graph()
+        G3.add_edges_from((("A", "A"), ("A", "B"), ("B", "B")))
+
+        assert graph_edit_distance(G0, G0) == 0
+        assert graph_edit_distance(G0, G1) == 4
+        assert graph_edit_distance(G1, G0) == 4
+        assert graph_edit_distance(G0, G2) == 4
+        assert graph_edit_distance(G2, G0) == 4
+        assert graph_edit_distance(G0, G3) == 5
+        assert graph_edit_distance(G3, G0) == 5
+
+        assert graph_edit_distance(G1, G1) == 0
+        assert graph_edit_distance(G1, G2) == 0
+        assert graph_edit_distance(G2, G1) == 0
+        assert graph_edit_distance(G1, G3) == 1
+        assert graph_edit_distance(G3, G1) == 1
+
+        assert graph_edit_distance(G2, G2) == 0
+        assert graph_edit_distance(G2, G3) == 1
+        assert graph_edit_distance(G3, G2) == 1
+
+        assert graph_edit_distance(G3, G3) == 0
+
+    def test_digraph(self):
+        G0 = nx.DiGraph()
+        G1 = nx.DiGraph()
+        G1.add_edges_from((("A", "B"), ("B", "C"), ("C", "D"), ("D", "A")))
+        G2 = nx.DiGraph()
+        G2.add_edges_from((("A", "B"), ("B", "C"), ("C", "D"), ("A", "D")))
+        G3 = nx.DiGraph()
+        G3.add_edges_from((("A", "B"), ("A", "C"), ("B", "D"), ("C", "D")))
+
+        assert graph_edit_distance(G0, G0) == 0
+        assert graph_edit_distance(G0, G1) == 8
+        assert graph_edit_distance(G1, G0) == 8
+        assert graph_edit_distance(G0, G2) == 8
+        assert graph_edit_distance(G2, G0) == 8
+        assert graph_edit_distance(G0, G3) == 8
+        assert graph_edit_distance(G3, G0) == 8
+
+        assert graph_edit_distance(G1, G1) == 0
+        assert graph_edit_distance(G1, G2) == 2
+        assert graph_edit_distance(G2, G1) == 2
+        assert graph_edit_distance(G1, G3) == 4
+        assert graph_edit_distance(G3, G1) == 4
+
+        assert graph_edit_distance(G2, G2) == 0
+        assert graph_edit_distance(G2, G3) == 2
+        assert graph_edit_distance(G3, G2) == 2
+
+        assert graph_edit_distance(G3, G3) == 0
+
+    def test_multigraph(self):
+        G0 = nx.MultiGraph()
+        G1 = nx.MultiGraph()
+        G1.add_edges_from((("A", "B"), ("B", "C"), ("A", "C")))
+        G2 = nx.MultiGraph()
+        G2.add_edges_from((("A", "B"), ("B", "C"), ("B", "C"), ("A", "C")))
+        G3 = nx.MultiGraph()
+        G3.add_edges_from((("A", "B"), ("B", "C"), ("A", "C"), ("A", "C"), ("A", "C")))
+
+        assert graph_edit_distance(G0, G0) == 0
+        assert graph_edit_distance(G0, G1) == 6
+        assert graph_edit_distance(G1, G0) == 6
+        assert graph_edit_distance(G0, G2) == 7
+        assert graph_edit_distance(G2, G0) == 7
+        assert graph_edit_distance(G0, G3) == 8
+        assert graph_edit_distance(G3, G0) == 8
+
+        assert graph_edit_distance(G1, G1) == 0
+        assert graph_edit_distance(G1, G2) == 1
+        assert graph_edit_distance(G2, G1) == 1
+        assert graph_edit_distance(G1, G3) == 2
+        assert graph_edit_distance(G3, G1) == 2
+
+        assert graph_edit_distance(G2, G2) == 0
+        assert graph_edit_distance(G2, G3) == 1
+        assert graph_edit_distance(G3, G2) == 1
+
+        assert graph_edit_distance(G3, G3) == 0
+
+    def test_multidigraph(self):
+        G1 = nx.MultiDiGraph()
+        G1.add_edges_from(
+            (
+                ("hardware", "kernel"),
+                ("kernel", "hardware"),
+                ("kernel", "userspace"),
+                ("userspace", "kernel"),
+            )
+        )
+        G2 = nx.MultiDiGraph()
+        G2.add_edges_from(
+            (
+                ("winter", "spring"),
+                ("spring", "summer"),
+                ("summer", "autumn"),
+                ("autumn", "winter"),
+            )
+        )
+
+        assert graph_edit_distance(G1, G2) == 5
+        assert graph_edit_distance(G2, G1) == 5
+
+    # by https://github.com/jfbeaumont
+    def testCopy(self):
+        G = nx.Graph()
+        G.add_node("A", label="A")
+        G.add_node("B", label="B")
+        G.add_edge("A", "B", label="a-b")
+        assert (
+            graph_edit_distance(G, G.copy(), node_match=nmatch, edge_match=ematch) == 0
+        )
+
+    def testSame(self):
+        G1 = nx.Graph()
+        G1.add_node("A", label="A")
+        G1.add_node("B", label="B")
+        G1.add_edge("A", "B", label="a-b")
+        G2 = nx.Graph()
+        G2.add_node("A", label="A")
+        G2.add_node("B", label="B")
+        G2.add_edge("A", "B", label="a-b")
+        assert graph_edit_distance(G1, G2, node_match=nmatch, edge_match=ematch) == 0
+
+    def testOneEdgeLabelDiff(self):
+        G1 = nx.Graph()
+        G1.add_node("A", label="A")
+        G1.add_node("B", label="B")
+        G1.add_edge("A", "B", label="a-b")
+        G2 = nx.Graph()
+        G2.add_node("A", label="A")
+        G2.add_node("B", label="B")
+        G2.add_edge("A", "B", label="bad")
+        assert graph_edit_distance(G1, G2, node_match=nmatch, edge_match=ematch) == 1
+
+    def testOneNodeLabelDiff(self):
+        G1 = nx.Graph()
+        G1.add_node("A", label="A")
+        G1.add_node("B", label="B")
+        G1.add_edge("A", "B", label="a-b")
+        G2 = nx.Graph()
+        G2.add_node("A", label="Z")
+        G2.add_node("B", label="B")
+        G2.add_edge("A", "B", label="a-b")
+        assert graph_edit_distance(G1, G2, node_match=nmatch, edge_match=ematch) == 1
+
+    def testOneExtraNode(self):
+        G1 = nx.Graph()
+        G1.add_node("A", label="A")
+        G1.add_node("B", label="B")
+        G1.add_edge("A", "B", label="a-b")
+        G2 = nx.Graph()
+        G2.add_node("A", label="A")
+        G2.add_node("B", label="B")
+        G2.add_edge("A", "B", label="a-b")
+        G2.add_node("C", label="C")
+        assert graph_edit_distance(G1, G2, node_match=nmatch, edge_match=ematch) == 1
+
+    def testOneExtraEdge(self):
+        G1 = nx.Graph()
+        G1.add_node("A", label="A")
+        G1.add_node("B", label="B")
+        G1.add_node("C", label="C")
+        G1.add_node("C", label="C")
+        G1.add_edge("A", "B", label="a-b")
+        G2 = nx.Graph()
+        G2.add_node("A", label="A")
+        G2.add_node("B", label="B")
+        G2.add_node("C", label="C")
+        G2.add_edge("A", "B", label="a-b")
+        G2.add_edge("A", "C", label="a-c")
+        assert graph_edit_distance(G1, G2, node_match=nmatch, edge_match=ematch) == 1
+
+    def testOneExtraNodeAndEdge(self):
+        G1 = nx.Graph()
+        G1.add_node("A", label="A")
+        G1.add_node("B", label="B")
+        G1.add_edge("A", "B", label="a-b")
+        G2 = nx.Graph()
+        G2.add_node("A", label="A")
+        G2.add_node("B", label="B")
+        G2.add_node("C", label="C")
+        G2.add_edge("A", "B", label="a-b")
+        G2.add_edge("A", "C", label="a-c")
+        assert graph_edit_distance(G1, G2, node_match=nmatch, edge_match=ematch) == 2
+
+    def testGraph1(self):
+        G1 = getCanonical()
+        G2 = nx.Graph()
+        G2.add_node("A", label="A")
+        G2.add_node("B", label="B")
+        G2.add_node("D", label="D")
+        G2.add_node("E", label="E")
+        G2.add_edge("A", "B", label="a-b")
+        G2.add_edge("B", "D", label="b-d")
+        G2.add_edge("D", "E", label="d-e")
+        assert graph_edit_distance(G1, G2, node_match=nmatch, edge_match=ematch) == 3
+
+    def testGraph2(self):
+        G1 = getCanonical()
+        G2 = nx.Graph()
+        G2.add_node("A", label="A")
+        G2.add_node("B", label="B")
+        G2.add_node("C", label="C")
+        G2.add_node("D", label="D")
+        G2.add_node("E", label="E")
+        G2.add_edge("A", "B", label="a-b")
+        G2.add_edge("B", "C", label="b-c")
+        G2.add_edge("C", "D", label="c-d")
+        G2.add_edge("C", "E", label="c-e")
+        assert graph_edit_distance(G1, G2, node_match=nmatch, edge_match=ematch) == 4
+
+    def testGraph3(self):
+        G1 = getCanonical()
+        G2 = nx.Graph()
+        G2.add_node("A", label="A")
+        G2.add_node("B", label="B")
+        G2.add_node("C", label="C")
+        G2.add_node("D", label="D")
+        G2.add_node("E", label="E")
+        G2.add_node("F", label="F")
+        G2.add_node("G", label="G")
+        G2.add_edge("A", "C", label="a-c")
+        G2.add_edge("A", "D", label="a-d")
+        G2.add_edge("D", "E", label="d-e")
+        G2.add_edge("D", "F", label="d-f")
+        G2.add_edge("D", "G", label="d-g")
+        G2.add_edge("E", "B", label="e-b")
+        assert graph_edit_distance(G1, G2, node_match=nmatch, edge_match=ematch) == 12
+
+    def testGraph4(self):
+        G1 = getCanonical()
+        G2 = nx.Graph()
+        G2.add_node("A", label="A")
+        G2.add_node("B", label="B")
+        G2.add_node("C", label="C")
+        G2.add_node("D", label="D")
+        G2.add_edge("A", "B", label="a-b")
+        G2.add_edge("B", "C", label="b-c")
+        G2.add_edge("C", "D", label="c-d")
+        assert graph_edit_distance(G1, G2, node_match=nmatch, edge_match=ematch) == 2
+
+    def testGraph4_a(self):
+        G1 = getCanonical()
+        G2 = nx.Graph()
+        G2.add_node("A", label="A")
+        G2.add_node("B", label="B")
+        G2.add_node("C", label="C")
+        G2.add_node("D", label="D")
+        G2.add_edge("A", "B", label="a-b")
+        G2.add_edge("B", "C", label="b-c")
+        G2.add_edge("A", "D", label="a-d")
+        assert graph_edit_distance(G1, G2, node_match=nmatch, edge_match=ematch) == 2
+
+    def testGraph4_b(self):
+        G1 = getCanonical()
+        G2 = nx.Graph()
+        G2.add_node("A", label="A")
+        G2.add_node("B", label="B")
+        G2.add_node("C", label="C")
+        G2.add_node("D", label="D")
+        G2.add_edge("A", "B", label="a-b")
+        G2.add_edge("B", "C", label="b-c")
+        G2.add_edge("B", "D", label="bad")
+        assert graph_edit_distance(G1, G2, node_match=nmatch, edge_match=ematch) == 1
+
+    # note: nx.simrank_similarity_numpy not included because returns np.array
+    simrank_algs = [
+        nx.simrank_similarity,
+        nx.algorithms.similarity._simrank_similarity_python,
+    ]
+
+    @pytest.mark.parametrize("simrank_similarity", simrank_algs)
+    def test_simrank_no_source_no_target(self, simrank_similarity):
+        G = nx.cycle_graph(5)
+        expected = {
+            0: {
+                0: 1,
+                1: 0.3951219505902448,
+                2: 0.5707317069281646,
+                3: 0.5707317069281646,
+                4: 0.3951219505902449,
+            },
+            1: {
+                0: 0.3951219505902448,
+                1: 1,
+                2: 0.3951219505902449,
+                3: 0.5707317069281646,
+                4: 0.5707317069281646,
+            },
+            2: {
+                0: 0.5707317069281646,
+                1: 0.3951219505902449,
+                2: 1,
+                3: 0.3951219505902449,
+                4: 0.5707317069281646,
+            },
+            3: {
+                0: 0.5707317069281646,
+                1: 0.5707317069281646,
+                2: 0.3951219505902449,
+                3: 1,
+                4: 0.3951219505902449,
+            },
+            4: {
+                0: 0.3951219505902449,
+                1: 0.5707317069281646,
+                2: 0.5707317069281646,
+                3: 0.3951219505902449,
+                4: 1,
+            },
+        }
+        actual = simrank_similarity(G)
+        for k, v in expected.items():
+            assert v == pytest.approx(actual[k], abs=1e-2)
+
+        # For a DiGraph test, use the first graph from the paper cited in
+        # the docs: https://dl.acm.org/doi/pdf/10.1145/775047.775126
+        G = nx.DiGraph()
+        G.add_node(0, label="Univ")
+        G.add_node(1, label="ProfA")
+        G.add_node(2, label="ProfB")
+        G.add_node(3, label="StudentA")
+        G.add_node(4, label="StudentB")
+        G.add_edges_from([(0, 1), (0, 2), (1, 3), (2, 4), (4, 2), (3, 0)])
+
+        expected = {
+            0: {0: 1, 1: 0.0, 2: 0.1323363991265798, 3: 0.0, 4: 0.03387811817640443},
+            1: {0: 0.0, 1: 1, 2: 0.4135512472705618, 3: 0.0, 4: 0.10586911930126384},
+            2: {
+                0: 0.1323363991265798,
+                1: 0.4135512472705618,
+                2: 1,
+                3: 0.04234764772050554,
+                4: 0.08822426608438655,
+            },
+            3: {0: 0.0, 1: 0.0, 2: 0.04234764772050554, 3: 1, 4: 0.3308409978164495},
+            4: {
+                0: 0.03387811817640443,
+                1: 0.10586911930126384,
+                2: 0.08822426608438655,
+                3: 0.3308409978164495,
+                4: 1,
+            },
+        }
+        # Use the importance_factor from the paper to get the same numbers.
+        actual = simrank_similarity(G, importance_factor=0.8)
+        for k, v in expected.items():
+            assert v == pytest.approx(actual[k], abs=1e-2)
+
+    @pytest.mark.parametrize("simrank_similarity", simrank_algs)
+    def test_simrank_source_no_target(self, simrank_similarity):
+        G = nx.cycle_graph(5)
+        expected = {
+            0: 1,
+            1: 0.3951219505902448,
+            2: 0.5707317069281646,
+            3: 0.5707317069281646,
+            4: 0.3951219505902449,
+        }
+        actual = simrank_similarity(G, source=0)
+        assert expected == pytest.approx(actual, abs=1e-2)
+
+        # For a DiGraph test, use the first graph from the paper cited in
+        # the docs: https://dl.acm.org/doi/pdf/10.1145/775047.775126
+        G = nx.DiGraph()
+        G.add_node(0, label="Univ")
+        G.add_node(1, label="ProfA")
+        G.add_node(2, label="ProfB")
+        G.add_node(3, label="StudentA")
+        G.add_node(4, label="StudentB")
+        G.add_edges_from([(0, 1), (0, 2), (1, 3), (2, 4), (4, 2), (3, 0)])
+
+        expected = {0: 1, 1: 0.0, 2: 0.1323363991265798, 3: 0.0, 4: 0.03387811817640443}
+        # Use the importance_factor from the paper to get the same numbers.
+        actual = simrank_similarity(G, importance_factor=0.8, source=0)
+        assert expected == pytest.approx(actual, abs=1e-2)
+
+    @pytest.mark.parametrize("simrank_similarity", simrank_algs)
+    def test_simrank_noninteger_nodes(self, simrank_similarity):
+        G = nx.cycle_graph(5)
+        G = nx.relabel_nodes(G, dict(enumerate("abcde")))
+        expected = {
+            "a": 1,
+            "b": 0.3951219505902448,
+            "c": 0.5707317069281646,
+            "d": 0.5707317069281646,
+            "e": 0.3951219505902449,
+        }
+        actual = simrank_similarity(G, source="a")
+        assert expected == pytest.approx(actual, abs=1e-2)
+
+        # For a DiGraph test, use the first graph from the paper cited in
+        # the docs: https://dl.acm.org/doi/pdf/10.1145/775047.775126
+        G = nx.DiGraph()
+        G.add_node(0, label="Univ")
+        G.add_node(1, label="ProfA")
+        G.add_node(2, label="ProfB")
+        G.add_node(3, label="StudentA")
+        G.add_node(4, label="StudentB")
+        G.add_edges_from([(0, 1), (0, 2), (1, 3), (2, 4), (4, 2), (3, 0)])
+        node_labels = dict(enumerate(nx.get_node_attributes(G, "label").values()))
+        G = nx.relabel_nodes(G, node_labels)
+
+        expected = {
+            "Univ": 1,
+            "ProfA": 0.0,
+            "ProfB": 0.1323363991265798,
+            "StudentA": 0.0,
+            "StudentB": 0.03387811817640443,
+        }
+        # Use the importance_factor from the paper to get the same numbers.
+        actual = simrank_similarity(G, importance_factor=0.8, source="Univ")
+        assert expected == pytest.approx(actual, abs=1e-2)
+
+    @pytest.mark.parametrize("simrank_similarity", simrank_algs)
+    def test_simrank_source_and_target(self, simrank_similarity):
+        G = nx.cycle_graph(5)
+        expected = 1
+        actual = simrank_similarity(G, source=0, target=0)
+        assert expected == pytest.approx(actual, abs=1e-2)
+
+        # For a DiGraph test, use the first graph from the paper cited in
+        # the docs: https://dl.acm.org/doi/pdf/10.1145/775047.775126
+        G = nx.DiGraph()
+        G.add_node(0, label="Univ")
+        G.add_node(1, label="ProfA")
+        G.add_node(2, label="ProfB")
+        G.add_node(3, label="StudentA")
+        G.add_node(4, label="StudentB")
+        G.add_edges_from([(0, 1), (0, 2), (1, 3), (2, 4), (4, 2), (3, 0)])
+
+        expected = 0.1323363991265798
+        # Use the importance_factor from the paper to get the same numbers.
+        # Use the pair (0,2) because (0,0) and (0,1) have trivial results.
+        actual = simrank_similarity(G, importance_factor=0.8, source=0, target=2)
+        assert expected == pytest.approx(actual, abs=1e-5)
+
+    @pytest.mark.parametrize("alg", simrank_algs)
+    def test_simrank_max_iterations(self, alg):
+        G = nx.cycle_graph(5)
+        pytest.raises(nx.ExceededMaxIterations, alg, G, max_iterations=10)
+
+    def test_simrank_source_not_found(self):
+        G = nx.cycle_graph(5)
+        with pytest.raises(nx.NodeNotFound, match="Source node 10 not in G"):
+            nx.simrank_similarity(G, source=10)
+
+    def test_simrank_target_not_found(self):
+        G = nx.cycle_graph(5)
+        with pytest.raises(nx.NodeNotFound, match="Target node 10 not in G"):
+            nx.simrank_similarity(G, target=10)
+
+    def test_simrank_between_versions(self):
+        G = nx.cycle_graph(5)
+        # _python tolerance 1e-4
+        expected_python_tol4 = {
+            0: 1,
+            1: 0.394512499239852,
+            2: 0.5703550452791322,
+            3: 0.5703550452791323,
+            4: 0.394512499239852,
+        }
+        # _numpy tolerance 1e-4
+        expected_numpy_tol4 = {
+            0: 1.0,
+            1: 0.3947180735764555,
+            2: 0.570482097206368,
+            3: 0.570482097206368,
+            4: 0.3947180735764555,
+        }
+        actual = nx.simrank_similarity(G, source=0)
+        assert expected_numpy_tol4 == pytest.approx(actual, abs=1e-7)
+        # versions differ at 1e-4 level but equal at 1e-3
+        assert expected_python_tol4 != pytest.approx(actual, abs=1e-4)
+        assert expected_python_tol4 == pytest.approx(actual, abs=1e-3)
+
+        actual = nx.similarity._simrank_similarity_python(G, source=0)
+        assert expected_python_tol4 == pytest.approx(actual, abs=1e-7)
+        # versions differ at 1e-4 level but equal at 1e-3
+        assert expected_numpy_tol4 != pytest.approx(actual, abs=1e-4)
+        assert expected_numpy_tol4 == pytest.approx(actual, abs=1e-3)
+
+    def test_simrank_numpy_no_source_no_target(self):
+        G = nx.cycle_graph(5)
+        expected = np.array(
+            [
+                [
+                    1.0,
+                    0.3947180735764555,
+                    0.570482097206368,
+                    0.570482097206368,
+                    0.3947180735764555,
+                ],
+                [
+                    0.3947180735764555,
+                    1.0,
+                    0.3947180735764555,
+                    0.570482097206368,
+                    0.570482097206368,
+                ],
+                [
+                    0.570482097206368,
+                    0.3947180735764555,
+                    1.0,
+                    0.3947180735764555,
+                    0.570482097206368,
+                ],
+                [
+                    0.570482097206368,
+                    0.570482097206368,
+                    0.3947180735764555,
+                    1.0,
+                    0.3947180735764555,
+                ],
+                [
+                    0.3947180735764555,
+                    0.570482097206368,
+                    0.570482097206368,
+                    0.3947180735764555,
+                    1.0,
+                ],
+            ]
+        )
+        actual = nx.similarity._simrank_similarity_numpy(G)
+        np.testing.assert_allclose(expected, actual, atol=1e-7)
+
+    def test_simrank_numpy_source_no_target(self):
+        G = nx.cycle_graph(5)
+        expected = np.array(
+            [
+                1.0,
+                0.3947180735764555,
+                0.570482097206368,
+                0.570482097206368,
+                0.3947180735764555,
+            ]
+        )
+        actual = nx.similarity._simrank_similarity_numpy(G, source=0)
+        np.testing.assert_allclose(expected, actual, atol=1e-7)
+
+    def test_simrank_numpy_source_and_target(self):
+        G = nx.cycle_graph(5)
+        expected = 1.0
+        actual = nx.similarity._simrank_similarity_numpy(G, source=0, target=0)
+        np.testing.assert_allclose(expected, actual, atol=1e-7)
+
+    def test_panther_similarity_unweighted(self):
+        np.random.seed(42)
+
+        G = nx.Graph()
+        G.add_edge(0, 1)
+        G.add_edge(0, 2)
+        G.add_edge(0, 3)
+        G.add_edge(1, 2)
+        G.add_edge(2, 4)
+        expected = {3: 0.5, 2: 0.5, 1: 0.5, 4: 0.125}
+        sim = nx.panther_similarity(G, 0, path_length=2)
+        assert sim == expected
+
+    def test_panther_similarity_weighted(self):
+        np.random.seed(42)
+
+        G = nx.Graph()
+        G.add_edge("v1", "v2", w=5)
+        G.add_edge("v1", "v3", w=1)
+        G.add_edge("v1", "v4", w=2)
+        G.add_edge("v2", "v3", w=0.1)
+        G.add_edge("v3", "v5", w=1)
+        expected = {"v3": 0.75, "v4": 0.5, "v2": 0.5, "v5": 0.25}
+        sim = nx.panther_similarity(G, "v1", path_length=2, weight="w")
+        assert sim == expected
+
+    def test_panther_similarity_source_not_found(self):
+        G = nx.Graph()
+        G.add_edges_from([(0, 1), (0, 2), (0, 3), (1, 2), (2, 4)])
+        with pytest.raises(nx.NodeNotFound, match="Source node 10 not in G"):
+            nx.panther_similarity(G, source=10)
+
+    def test_panther_similarity_isolated(self):
+        G = nx.Graph()
+        G.add_nodes_from(range(5))
+        with pytest.raises(
+            nx.NetworkXUnfeasible,
+            match="Panther similarity is not defined for the isolated source node 1.",
+        ):
+            nx.panther_similarity(G, source=1)
+
+    def test_generate_random_paths_unweighted(self):
+        index_map = {}
+        num_paths = 10
+        path_length = 2
+        G = nx.Graph()
+        G.add_edge(0, 1)
+        G.add_edge(0, 2)
+        G.add_edge(0, 3)
+        G.add_edge(1, 2)
+        G.add_edge(2, 4)
+        paths = nx.generate_random_paths(
+            G, num_paths, path_length=path_length, index_map=index_map, seed=42
+        )
+        expected_paths = [
+            [3, 0, 3],
+            [4, 2, 1],
+            [2, 1, 0],
+            [2, 0, 3],
+            [3, 0, 1],
+            [3, 0, 1],
+            [4, 2, 0],
+            [2, 1, 0],
+            [3, 0, 2],
+            [2, 1, 2],
+        ]
+        expected_map = {
+            0: {0, 2, 3, 4, 5, 6, 7, 8},
+            1: {1, 2, 4, 5, 7, 9},
+            2: {1, 2, 3, 6, 7, 8, 9},
+            3: {0, 3, 4, 5, 8},
+            4: {1, 6},
+        }
+
+        assert expected_paths == list(paths)
+        assert expected_map == index_map
+
+    def test_generate_random_paths_weighted(self):
+        np.random.seed(42)
+
+        index_map = {}
+        num_paths = 10
+        path_length = 6
+        G = nx.Graph()
+        G.add_edge("a", "b", weight=0.6)
+        G.add_edge("a", "c", weight=0.2)
+        G.add_edge("c", "d", weight=0.1)
+        G.add_edge("c", "e", weight=0.7)
+        G.add_edge("c", "f", weight=0.9)
+        G.add_edge("a", "d", weight=0.3)
+        paths = nx.generate_random_paths(
+            G, num_paths, path_length=path_length, index_map=index_map
+        )
+
+        expected_paths = [
+            ["d", "c", "f", "c", "d", "a", "b"],
+            ["e", "c", "f", "c", "f", "c", "e"],
+            ["d", "a", "b", "a", "b", "a", "c"],
+            ["b", "a", "d", "a", "b", "a", "b"],
+            ["d", "a", "b", "a", "b", "a", "d"],
+            ["d", "a", "b", "a", "b", "a", "c"],
+            ["d", "a", "b", "a", "b", "a", "b"],
+            ["f", "c", "f", "c", "f", "c", "e"],
+            ["d", "a", "d", "a", "b", "a", "b"],
+            ["e", "c", "f", "c", "e", "c", "d"],
+        ]
+        expected_map = {
+            "d": {0, 2, 3, 4, 5, 6, 8, 9},
+            "c": {0, 1, 2, 5, 7, 9},
+            "f": {0, 1, 9, 7},
+            "a": {0, 2, 3, 4, 5, 6, 8},
+            "b": {0, 2, 3, 4, 5, 6, 8},
+            "e": {1, 9, 7},
+        }
+
+        assert expected_paths == list(paths)
+        assert expected_map == index_map
+
+    def test_symmetry_with_custom_matching(self):
+        print("G2 is edge (a,b) and G3 is edge (a,a)")
+        print("but node order for G2 is (a,b) while for G3 it is (b,a)")
+
+        a, b = "A", "B"
+        G2 = nx.Graph()
+        G2.add_nodes_from((a, b))
+        G2.add_edges_from([(a, b)])
+        G3 = nx.Graph()
+        G3.add_nodes_from((b, a))
+        G3.add_edges_from([(a, a)])
+        for G in (G2, G3):
+            for n in G:
+                G.nodes[n]["attr"] = n
+            for e in G.edges:
+                G.edges[e]["attr"] = e
+        match = lambda x, y: x == y
+
+        print("Starting G2 to G3 GED calculation")
+        assert nx.graph_edit_distance(G2, G3, node_match=match, edge_match=match) == 1
+
+        print("Starting G3 to G2 GED calculation")
+        assert nx.graph_edit_distance(G3, G2, node_match=match, edge_match=match) == 1

valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_smallworld.py

@@ -0,0 +1,78 @@
+import pytest
+
+pytest.importorskip("numpy")
+
+import random
+
+import networkx as nx
+from networkx import lattice_reference, omega, random_reference, sigma
+
+rng = 42
+
+
+def test_random_reference():
+    G = nx.connected_watts_strogatz_graph(50, 6, 0.1, seed=rng)
+    Gr = random_reference(G, niter=1, seed=rng)
+    C = nx.average_clustering(G)
+    Cr = nx.average_clustering(Gr)
+    assert C > Cr
+
+    with pytest.raises(nx.NetworkXError):
+        next(random_reference(nx.Graph()))
+    with pytest.raises(nx.NetworkXNotImplemented):
+        next(random_reference(nx.DiGraph()))
+
+    H = nx.Graph(((0, 1), (2, 3)))
+    Hl = random_reference(H, niter=1, seed=rng)
+
+
+def test_lattice_reference():
+    G = nx.connected_watts_strogatz_graph(50, 6, 1, seed=rng)
+    Gl = lattice_reference(G, niter=1, seed=rng)
+    L = nx.average_shortest_path_length(G)
+    Ll = nx.average_shortest_path_length(Gl)
+    assert Ll > L
+
+    pytest.raises(nx.NetworkXError, lattice_reference, nx.Graph())
+    pytest.raises(nx.NetworkXNotImplemented, lattice_reference, nx.DiGraph())
+
+    H = nx.Graph(((0, 1), (2, 3)))
+    Hl = lattice_reference(H, niter=1)
+
+
+def test_sigma():
+    Gs = nx.connected_watts_strogatz_graph(50, 6, 0.1, seed=rng)
+    Gr = nx.connected_watts_strogatz_graph(50, 6, 1, seed=rng)
+    sigmas = sigma(Gs, niter=1, nrand=2, seed=rng)
+    sigmar = sigma(Gr, niter=1, nrand=2, seed=rng)
+    assert sigmar < sigmas
+
+
+def test_omega():
+    Gl = nx.connected_watts_strogatz_graph(50, 6, 0, seed=rng)
+    Gr = nx.connected_watts_strogatz_graph(50, 6, 1, seed=rng)
+    Gs = nx.connected_watts_strogatz_graph(50, 6, 0.1, seed=rng)
+    omegal = omega(Gl, niter=1, nrand=1, seed=rng)
+    omegar = omega(Gr, niter=1, nrand=1, seed=rng)
+    omegas = omega(Gs, niter=1, nrand=1, seed=rng)
+    assert omegal < omegas and omegas < omegar
+
+    # Test that omega lies within the [-1, 1] bounds
+    G_barbell = nx.barbell_graph(5, 1)
+    G_karate = nx.karate_club_graph()
+
+    omega_barbell = nx.omega(G_barbell)
+    omega_karate = nx.omega(G_karate, nrand=2)
+
+    omegas = (omegal, omegar, omegas, omega_barbell, omega_karate)
+
+    for o in omegas:
+        assert -1 <= o <= 1
+
+
+@pytest.mark.parametrize("f", (nx.random_reference, nx.lattice_reference))
+def test_graph_no_edges(f):
+    G = nx.Graph()
+    G.add_nodes_from([0, 1, 2, 3])
+    with pytest.raises(nx.NetworkXError, match="Graph has fewer that 2 edges"):
+        f(G)

valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_smetric.py

@@ -0,0 +1,36 @@
+import warnings
+
+import pytest
+
+import networkx as nx
+
+
+def test_smetric():
+    g = nx.Graph()
+    g.add_edge(1, 2)
+    g.add_edge(2, 3)
+    g.add_edge(2, 4)
+    g.add_edge(1, 4)
+    sm = nx.s_metric(g, normalized=False)
+    assert sm == 19.0
+
+
+# NOTE: Tests below to be deleted when deprecation of `normalized` kwarg expires
+
+
+def test_normalized_deprecation_warning():
+    """Test that a deprecation warning is raised when s_metric is called with
+    a `normalized` kwarg."""
+    G = nx.cycle_graph(7)
+    # No warning raised when called without kwargs (future behavior)
+    with warnings.catch_warnings():
+        warnings.simplefilter("error")  # Fail the test if warning caught
+        assert nx.s_metric(G) == 28
+
+    # Deprecation warning
+    with pytest.deprecated_call():
+        nx.s_metric(G, normalized=True)
+
+    # Make sure you get standard Python behavior when unrecognized keyword provided
+    with pytest.raises(TypeError):
+        nx.s_metric(G, normalize=True)

valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_sparsifiers.py

@@ -0,0 +1,137 @@
+"""Unit tests for the sparsifier computation functions."""
+import pytest
+
+import networkx as nx
+from networkx.utils import py_random_state
+
+_seed = 2
+
+
+def _test_spanner(G, spanner, stretch, weight=None):
+    """Test whether a spanner is valid.
+
+    This function tests whether the given spanner is a subgraph of the
+    given graph G with the same node set. It also tests for all shortest
+    paths whether they adhere to the given stretch.
+
+    Parameters
+    ----------
+    G : NetworkX graph
+        The original graph for which the spanner was constructed.
+
+    spanner : NetworkX graph
+        The spanner to be tested.
+
+    stretch : float
+        The proclaimed stretch of the spanner.
+
+    weight : object
+        The edge attribute to use as distance.
+    """
+    # check node set
+    assert set(G.nodes()) == set(spanner.nodes())
+
+    # check edge set and weights
+    for u, v in spanner.edges():
+        assert G.has_edge(u, v)
+        if weight:
+            assert spanner[u][v][weight] == G[u][v][weight]
+
+    # check connectivity and stretch
+    original_length = dict(nx.shortest_path_length(G, weight=weight))
+    spanner_length = dict(nx.shortest_path_length(spanner, weight=weight))
+    for u in G.nodes():
+        for v in G.nodes():
+            if u in original_length and v in original_length[u]:
+                assert spanner_length[u][v] <= stretch * original_length[u][v]
+
+
+@py_random_state(1)
+def _assign_random_weights(G, seed=None):
+    """Assigns random weights to the edges of a graph.
+
+    Parameters
+    ----------
+
+    G : NetworkX graph
+        The original graph for which the spanner was constructed.
+
+    seed : integer, random_state, or None (default)
+        Indicator of random number generation state.
+        See :ref:`Randomness<randomness>`.
+    """
+    for u, v in G.edges():
+        G[u][v]["weight"] = seed.random()
+
+
+def test_spanner_trivial():
+    """Test a trivial spanner with stretch 1."""
+    G = nx.complete_graph(20)
+    spanner = nx.spanner(G, 1, seed=_seed)
+
+    for u, v in G.edges:
+        assert spanner.has_edge(u, v)
+
+
+def test_spanner_unweighted_complete_graph():
+    """Test spanner construction on a complete unweighted graph."""
+    G = nx.complete_graph(20)
+
+    spanner = nx.spanner(G, 4, seed=_seed)
+    _test_spanner(G, spanner, 4)
+
+    spanner = nx.spanner(G, 10, seed=_seed)
+    _test_spanner(G, spanner, 10)
+
+
+def test_spanner_weighted_complete_graph():
+    """Test spanner construction on a complete weighted graph."""
+    G = nx.complete_graph(20)
+    _assign_random_weights(G, seed=_seed)
+
+    spanner = nx.spanner(G, 4, weight="weight", seed=_seed)
+    _test_spanner(G, spanner, 4, weight="weight")
+
+    spanner = nx.spanner(G, 10, weight="weight", seed=_seed)
+    _test_spanner(G, spanner, 10, weight="weight")
+
+
+def test_spanner_unweighted_gnp_graph():
+    """Test spanner construction on an unweighted gnp graph."""
+    G = nx.gnp_random_graph(20, 0.4, seed=_seed)
+
+    spanner = nx.spanner(G, 4, seed=_seed)
+    _test_spanner(G, spanner, 4)
+
+    spanner = nx.spanner(G, 10, seed=_seed)
+    _test_spanner(G, spanner, 10)
+
+
+def test_spanner_weighted_gnp_graph():
+    """Test spanner construction on an weighted gnp graph."""
+    G = nx.gnp_random_graph(20, 0.4, seed=_seed)
+    _assign_random_weights(G, seed=_seed)
+
+    spanner = nx.spanner(G, 4, weight="weight", seed=_seed)
+    _test_spanner(G, spanner, 4, weight="weight")
+
+    spanner = nx.spanner(G, 10, weight="weight", seed=_seed)
+    _test_spanner(G, spanner, 10, weight="weight")
+
+
+def test_spanner_unweighted_disconnected_graph():
+    """Test spanner construction on a disconnected graph."""
+    G = nx.disjoint_union(nx.complete_graph(10), nx.complete_graph(10))
+
+    spanner = nx.spanner(G, 4, seed=_seed)
+    _test_spanner(G, spanner, 4)
+
+    spanner = nx.spanner(G, 10, seed=_seed)
+    _test_spanner(G, spanner, 10)
+
+
+def test_spanner_invalid_stretch():
+    """Check whether an invalid stretch is caught."""
+    with pytest.raises(ValueError):
+        G = nx.empty_graph()
+        nx.spanner(G, 0)