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IncidenceStructure(3, [[0,1],[0,2]])
is_connected()
IncidenceStructure(4, [[0,1],[2,3]])
is_connected()
DisjointSet(self.num_points()
range(1,len(B)
D.union(x,B[i])
D.number_of_subsets()
is_simple(self)
simple (i.e. no repeated block)
IncidenceStructure(3, [[0,1],[1,2],[0,2]])
is_simple()
IncidenceStructure(3, [[0],[0]])
is_simple()
IncidenceStructure(V, B)
I.is_simple()
IncidenceStructure(V, B*2)
I2.is_simple()
all(B[i] != B[i+1] for i in range(len(B)
_gap_(self)
IncidenceStructure(7,[[0,1,2],[0,3,4],[0,5,6],[1,3,5],[1,4,6],[2,3,6],[2,4,5]])
BD._gap_()
BlockDesign(7,[[1, 2, 3], [1, 4, 5], [1, 6, 7], [2, 4, 6], [2, 5, 7], [3, 4, 7], [3, 5, 6]])
self.blocks()
self.num_points()
BlockDesign("+str(v)
str(gB)
intersection_graph(self,sizes=None)
PositiveIntegers()
designs.balanced_incomplete_block_design(19,3)
BIBD.intersection_graph(1)
G.is_strongly_regular(parameters=True)
PositiveIntegers()
PositiveIntegers()
Set(v)
Graph([V, lambda x,y: len(x & y)
incidence_matrix(self)
IncidenceStructure(7, [[0,1,2],[0,3,4],[0,5,6],[1,3,5],[1,4,6],[2,3,6],[2,4,5]])
BD.block_sizes()
BD.incidence_matrix()
IncidenceStructure('abc', ('ab','abc','ac','c')
I.incidence_matrix()
Matrix(ZZ, self.num_points()
self.num_blocks()
enumerate(self._blocks)
incidence_graph(self,labels=False)
some (rare)
IncidenceStructure(7, [[0,1,2],[0,3,4],[0,5,6],[1,3,5],[1,4,6],[2,3,6],[2,4,5]])
BD.incidence_graph()
BD.incidence_matrix()
Graph(block_matrix([[A*0,A],[A.transpose()
BD.incidence_graph()
BD.incidence_graph(labels=True)
has_edge(0,Set([0,1,2])
Graph()
G.add_vertices(self.ground_set()
self.blocks()
Set(b)
G.add_vertex(b)
G.add_edges((b,x)
self.incidence_matrix()
BipartiteGraph(A)
complement(self,uniform=False)
designs.balanced_incomplete_block_design(13,4)
bibd.is_t_design(return_parameters=True)
bibd.complement()
is_t_design(return_parameters=True)
graphs.PetersenGraph()
IncidenceStructure(g.edges(labels=False)
G.complement(uniform=True)
Graph(H.blocks()
h.complement()
bibd.relabel({i:str(i)
bibd.ground_set()
bibd.complement()
ground_set()
IncidenceStructure('abc', ['ab','ac','bc'])
I.is_t_design(return_parameters=True)
self.is_uniform()
ValueError("The incidence structure is not uniform.")
self.num_blocks()
combinations(range(self.num_points()
list(B)
blocks.append(B)
IncidenceStructure(blocks,copy=False)
set(range(self.num_points()
IncidenceStructure([X.difference(B)
I.relabel({i:self._points[i] for i in range(self.num_points()
relabel(self, perm=None, inplace=True)
designs.transversal_design(5,5)
TD.relabel({i:chr(97+i)
range(25)
TD.ground_set()
TD.blocks()
TD.relabel()
TD.blocks()
I.relabel()
permutations([0,1,2,3,4])
I.relabel(p,inplace=False)
print(p)