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parrot/lib/python3.10/site-packages/networkx/algorithms/approximation/__init__.py
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"""Approximations of graph properties and Heuristic methods for optimization.
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The functions in this class are not imported into the top-level ``networkx``
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namespace so the easiest way to use them is with::
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>>> from networkx.algorithms import approximation
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"""
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from networkx.algorithms.approximation.clustering_coefficient import *
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from networkx.algorithms.approximation.clique import *
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from networkx.algorithms.approximation.connectivity import *
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from networkx.algorithms.approximation.distance_measures import *
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from networkx.algorithms.approximation.dominating_set import *
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from networkx.algorithms.approximation.kcomponents import *
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from networkx.algorithms.approximation.matching import *
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from networkx.algorithms.approximation.ramsey import *
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from networkx.algorithms.approximation.steinertree import *
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from networkx.algorithms.approximation.traveling_salesman import *
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from networkx.algorithms.approximation.treewidth import *
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from networkx.algorithms.approximation.vertex_cover import *
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from networkx.algorithms.approximation.maxcut import *
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
"""
|
| 2 |
+
Tests for degree centrality.
|
| 3 |
+
"""
|
| 4 |
+
import pytest
|
| 5 |
+
|
| 6 |
+
import networkx as nx
|
| 7 |
+
from networkx.algorithms.centrality import harmonic_centrality
|
| 8 |
+
|
| 9 |
+
|
| 10 |
+
class TestClosenessCentrality:
|
| 11 |
+
@classmethod
|
| 12 |
+
def setup_class(cls):
|
| 13 |
+
cls.P3 = nx.path_graph(3)
|
| 14 |
+
cls.P4 = nx.path_graph(4)
|
| 15 |
+
cls.K5 = nx.complete_graph(5)
|
| 16 |
+
|
| 17 |
+
cls.C4 = nx.cycle_graph(4)
|
| 18 |
+
cls.C4_directed = nx.cycle_graph(4, create_using=nx.DiGraph)
|
| 19 |
+
|
| 20 |
+
cls.C5 = nx.cycle_graph(5)
|
| 21 |
+
|
| 22 |
+
cls.T = nx.balanced_tree(r=2, h=2)
|
| 23 |
+
|
| 24 |
+
cls.Gb = nx.DiGraph()
|
| 25 |
+
cls.Gb.add_edges_from([(0, 1), (0, 2), (0, 4), (2, 1), (2, 3), (4, 3)])
|
| 26 |
+
|
| 27 |
+
def test_p3_harmonic(self):
|
| 28 |
+
c = harmonic_centrality(self.P3)
|
| 29 |
+
d = {0: 1.5, 1: 2, 2: 1.5}
|
| 30 |
+
for n in sorted(self.P3):
|
| 31 |
+
assert c[n] == pytest.approx(d[n], abs=1e-3)
|
| 32 |
+
|
| 33 |
+
def test_p4_harmonic(self):
|
| 34 |
+
c = harmonic_centrality(self.P4)
|
| 35 |
+
d = {0: 1.8333333, 1: 2.5, 2: 2.5, 3: 1.8333333}
|
| 36 |
+
for n in sorted(self.P4):
|
| 37 |
+
assert c[n] == pytest.approx(d[n], abs=1e-3)
|
| 38 |
+
|
| 39 |
+
def test_clique_complete(self):
|
| 40 |
+
c = harmonic_centrality(self.K5)
|
| 41 |
+
d = {0: 4, 1: 4, 2: 4, 3: 4, 4: 4}
|
| 42 |
+
for n in sorted(self.P3):
|
| 43 |
+
assert c[n] == pytest.approx(d[n], abs=1e-3)
|
| 44 |
+
|
| 45 |
+
def test_cycle_C4(self):
|
| 46 |
+
c = harmonic_centrality(self.C4)
|
| 47 |
+
d = {0: 2.5, 1: 2.5, 2: 2.5, 3: 2.5}
|
| 48 |
+
for n in sorted(self.C4):
|
| 49 |
+
assert c[n] == pytest.approx(d[n], abs=1e-3)
|
| 50 |
+
|
| 51 |
+
def test_cycle_C5(self):
|
| 52 |
+
c = harmonic_centrality(self.C5)
|
| 53 |
+
d = {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 4}
|
| 54 |
+
for n in sorted(self.C5):
|
| 55 |
+
assert c[n] == pytest.approx(d[n], abs=1e-3)
|
| 56 |
+
|
| 57 |
+
def test_bal_tree(self):
|
| 58 |
+
c = harmonic_centrality(self.T)
|
| 59 |
+
d = {0: 4.0, 1: 4.1666, 2: 4.1666, 3: 2.8333, 4: 2.8333, 5: 2.8333, 6: 2.8333}
|
| 60 |
+
for n in sorted(self.T):
|
| 61 |
+
assert c[n] == pytest.approx(d[n], abs=1e-3)
|
| 62 |
+
|
| 63 |
+
def test_exampleGraph(self):
|
| 64 |
+
c = harmonic_centrality(self.Gb)
|
| 65 |
+
d = {0: 0, 1: 2, 2: 1, 3: 2.5, 4: 1}
|
| 66 |
+
for n in sorted(self.Gb):
|
| 67 |
+
assert c[n] == pytest.approx(d[n], abs=1e-3)
|
| 68 |
+
|
| 69 |
+
def test_weighted_harmonic(self):
|
| 70 |
+
XG = nx.DiGraph()
|
| 71 |
+
XG.add_weighted_edges_from(
|
| 72 |
+
[
|
| 73 |
+
("a", "b", 10),
|
| 74 |
+
("d", "c", 5),
|
| 75 |
+
("a", "c", 1),
|
| 76 |
+
("e", "f", 2),
|
| 77 |
+
("f", "c", 1),
|
| 78 |
+
("a", "f", 3),
|
| 79 |
+
]
|
| 80 |
+
)
|
| 81 |
+
c = harmonic_centrality(XG, distance="weight")
|
| 82 |
+
d = {"a": 0, "b": 0.1, "c": 2.533, "d": 0, "e": 0, "f": 0.83333}
|
| 83 |
+
for n in sorted(XG):
|
| 84 |
+
assert c[n] == pytest.approx(d[n], abs=1e-3)
|
| 85 |
+
|
| 86 |
+
def test_empty(self):
|
| 87 |
+
G = nx.DiGraph()
|
| 88 |
+
c = harmonic_centrality(G, distance="weight")
|
| 89 |
+
d = {}
|
| 90 |
+
assert c == d
|
| 91 |
+
|
| 92 |
+
def test_singleton(self):
|
| 93 |
+
G = nx.DiGraph()
|
| 94 |
+
G.add_node(0)
|
| 95 |
+
c = harmonic_centrality(G, distance="weight")
|
| 96 |
+
d = {0: 0}
|
| 97 |
+
assert c == d
|
| 98 |
+
|
| 99 |
+
def test_cycle_c4_directed(self):
|
| 100 |
+
c = harmonic_centrality(self.C4_directed, nbunch=[0, 1], sources=[1, 2])
|
| 101 |
+
d = {0: 0.833, 1: 0.333}
|
| 102 |
+
for n in [0, 1]:
|
| 103 |
+
assert c[n] == pytest.approx(d[n], abs=1e-3)
|
| 104 |
+
|
| 105 |
+
def test_p3_harmonic_subset(self):
|
| 106 |
+
c = harmonic_centrality(self.P3, sources=[0, 1])
|
| 107 |
+
d = {0: 1, 1: 1, 2: 1.5}
|
| 108 |
+
for n in self.P3:
|
| 109 |
+
assert c[n] == pytest.approx(d[n], abs=1e-3)
|
| 110 |
+
|
| 111 |
+
def test_p4_harmonic_subset(self):
|
| 112 |
+
c = harmonic_centrality(self.P4, nbunch=[2, 3], sources=[0, 1])
|
| 113 |
+
d = {2: 1.5, 3: 0.8333333}
|
| 114 |
+
for n in [2, 3]:
|
| 115 |
+
assert c[n] == pytest.approx(d[n], abs=1e-3)
|
parrot/lib/python3.10/site-packages/networkx/algorithms/centrality/tests/test_second_order_centrality.py
ADDED
|
@@ -0,0 +1,82 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
"""
|
| 2 |
+
Tests for second order centrality.
|
| 3 |
+
"""
|
| 4 |
+
|
| 5 |
+
import pytest
|
| 6 |
+
|
| 7 |
+
pytest.importorskip("numpy")
|
| 8 |
+
pytest.importorskip("scipy")
|
| 9 |
+
|
| 10 |
+
import networkx as nx
|
| 11 |
+
|
| 12 |
+
|
| 13 |
+
def test_empty():
|
| 14 |
+
with pytest.raises(nx.NetworkXException):
|
| 15 |
+
G = nx.empty_graph()
|
| 16 |
+
nx.second_order_centrality(G)
|
| 17 |
+
|
| 18 |
+
|
| 19 |
+
def test_non_connected():
|
| 20 |
+
with pytest.raises(nx.NetworkXException):
|
| 21 |
+
G = nx.Graph()
|
| 22 |
+
G.add_node(0)
|
| 23 |
+
G.add_node(1)
|
| 24 |
+
nx.second_order_centrality(G)
|
| 25 |
+
|
| 26 |
+
|
| 27 |
+
def test_non_negative_edge_weights():
|
| 28 |
+
with pytest.raises(nx.NetworkXException):
|
| 29 |
+
G = nx.path_graph(2)
|
| 30 |
+
G.add_edge(0, 1, weight=-1)
|
| 31 |
+
nx.second_order_centrality(G)
|
| 32 |
+
|
| 33 |
+
|
| 34 |
+
def test_weight_attribute():
|
| 35 |
+
G = nx.Graph()
|
| 36 |
+
G.add_weighted_edges_from([(0, 1, 1.0), (1, 2, 3.5)], weight="w")
|
| 37 |
+
expected = {0: 3.431, 1: 3.082, 2: 5.612}
|
| 38 |
+
b = nx.second_order_centrality(G, weight="w")
|
| 39 |
+
|
| 40 |
+
for n in sorted(G):
|
| 41 |
+
assert b[n] == pytest.approx(expected[n], abs=1e-2)
|
| 42 |
+
|
| 43 |
+
|
| 44 |
+
def test_one_node_graph():
|
| 45 |
+
"""Second order centrality: single node"""
|
| 46 |
+
G = nx.Graph()
|
| 47 |
+
G.add_node(0)
|
| 48 |
+
G.add_edge(0, 0)
|
| 49 |
+
assert nx.second_order_centrality(G)[0] == 0
|
| 50 |
+
|
| 51 |
+
|
| 52 |
+
def test_P3():
|
| 53 |
+
"""Second order centrality: line graph, as defined in paper"""
|
| 54 |
+
G = nx.path_graph(3)
|
| 55 |
+
b_answer = {0: 3.741, 1: 1.414, 2: 3.741}
|
| 56 |
+
|
| 57 |
+
b = nx.second_order_centrality(G)
|
| 58 |
+
|
| 59 |
+
for n in sorted(G):
|
| 60 |
+
assert b[n] == pytest.approx(b_answer[n], abs=1e-2)
|
| 61 |
+
|
| 62 |
+
|
| 63 |
+
def test_K3():
|
| 64 |
+
"""Second order centrality: complete graph, as defined in paper"""
|
| 65 |
+
G = nx.complete_graph(3)
|
| 66 |
+
b_answer = {0: 1.414, 1: 1.414, 2: 1.414}
|
| 67 |
+
|
| 68 |
+
b = nx.second_order_centrality(G)
|
| 69 |
+
|
| 70 |
+
for n in sorted(G):
|
| 71 |
+
assert b[n] == pytest.approx(b_answer[n], abs=1e-2)
|
| 72 |
+
|
| 73 |
+
|
| 74 |
+
def test_ring_graph():
|
| 75 |
+
"""Second order centrality: ring graph, as defined in paper"""
|
| 76 |
+
G = nx.cycle_graph(5)
|
| 77 |
+
b_answer = {0: 4.472, 1: 4.472, 2: 4.472, 3: 4.472, 4: 4.472}
|
| 78 |
+
|
| 79 |
+
b = nx.second_order_centrality(G)
|
| 80 |
+
|
| 81 |
+
for n in sorted(G):
|
| 82 |
+
assert b[n] == pytest.approx(b_answer[n], abs=1e-2)
|
parrot/lib/python3.10/site-packages/networkx/algorithms/community/__init__.py
ADDED
|
@@ -0,0 +1,25 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
"""Functions for computing and measuring community structure.
|
| 2 |
+
|
| 3 |
+
The ``community`` subpackage can be accessed by using :mod:`networkx.community`, then accessing the
|
| 4 |
+
functions as attributes of ``community``. For example::
|
| 5 |
+
|
| 6 |
+
>>> import networkx as nx
|
| 7 |
+
>>> G = nx.barbell_graph(5, 1)
|
| 8 |
+
>>> communities_generator = nx.community.girvan_newman(G)
|
| 9 |
+
>>> top_level_communities = next(communities_generator)
|
| 10 |
+
>>> next_level_communities = next(communities_generator)
|
| 11 |
+
>>> sorted(map(sorted, next_level_communities))
|
| 12 |
+
[[0, 1, 2, 3, 4], [5], [6, 7, 8, 9, 10]]
|
| 13 |
+
|
| 14 |
+
"""
|
| 15 |
+
from networkx.algorithms.community.asyn_fluid import *
|
| 16 |
+
from networkx.algorithms.community.centrality import *
|
| 17 |
+
from networkx.algorithms.community.divisive import *
|
| 18 |
+
from networkx.algorithms.community.kclique import *
|
| 19 |
+
from networkx.algorithms.community.kernighan_lin import *
|
| 20 |
+
from networkx.algorithms.community.label_propagation import *
|
| 21 |
+
from networkx.algorithms.community.lukes import *
|
| 22 |
+
from networkx.algorithms.community.modularity_max import *
|
| 23 |
+
from networkx.algorithms.community.quality import *
|
| 24 |
+
from networkx.algorithms.community.community_utils import *
|
| 25 |
+
from networkx.algorithms.community.louvain import *
|
parrot/lib/python3.10/site-packages/networkx/algorithms/community/__pycache__/asyn_fluid.cpython-310.pyc
ADDED
|
Binary file (4.34 kB). View file
|
|
|
parrot/lib/python3.10/site-packages/networkx/algorithms/community/__pycache__/centrality.cpython-310.pyc
ADDED
|
Binary file (6.29 kB). View file
|
|
|