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IncidenceStructure(V, blocks)
type(I.ground_set()
type(I.blocks()
IncidenceStructure([])
isinstance(points, Matrix)
set()
union(*blocks)
matrix(incidence_matrix)
M.nrows()
list(range(v)
sorted(M.nonzero_positions_in_column(i)
range(M.ncols()
isinstance(points, (int,Integer)
list(range(points)
sorted(points)
list(range(len(points)
all(isinstance(x,(int,Integer)
enumerate(self._points)
any(x not in self._points for x in block)
ValueError("Block {} is not contained in the point set".format(block)
len(block)
len(set(block)
ValueError("Repeated element in block {}".format(block)
sorted(self._point_to_index[e] for e in block)
sorted(block)
b.sort()
blocks.sort()
str(name)
__iter__(self)
designs.steiner_triple_system(9)
list(sts)
IncidenceStructure('ab', ['a','ab'])
iter(b)
next(it)
next(it)
__repr__(self)
IncidenceStructure(7,[[0,1,2],[0,3,4],[0,5,6],[1,3,5],[1,4,6],[2,3,6],[2,4,5]])
self.num_points()
self.num_blocks()
__eq__(self, other)
IncidenceStructure(7, blocks)
BD1.incidence_matrix()
IncidenceStructure(incidence_matrix=M)
frozenset([0,1])
frozenset([2])
sorted([e1,e2])
sorted([e2,e1])
IncidenceStructure([e1,e2], [[e1],[e1,e2]])
IncidenceStructure([e1,e2], [[e2,e1],[e1]])
IncidenceStructure([e2,e1], [[e1,e2],[e1]])
isinstance(other, IncidenceStructure)
if (self.num_points()
other.num_points()
self.num_blocks()
other.num_blocks()
list(range(self.num_points()
any(p not in p_to_i for p in other.ground_set()
sorted(sorted(p_to_i[p] for p in b)
other.blocks()
__ne__(self, other)
IncidenceStructure(7, [[0,1,2],[0,3,4],[0,5,6],[1,3,5],[1,4,6],[2,3,6],[2,4,5]])
BD1.incidence_matrix()
IncidenceStructure(incidence_matrix=M)
__contains__(self, block)
IncidenceStructure([[1,2,3,4]])
IncidenceStructure([[1,2,3,4]])
IncidenceStructure([[1,2,3,4]])
IncidenceStructure([[1,2,"3",4]])
Subsets(str.split()
IncidenceStructure(sets)
designs.ProjectiveGeometryDesign(3, 1, GF(2)
iter(block)
sorted(block)
canonical_label(self)
designs.balanced_incomplete_block_design(7,3)
designs.projective_plane(2)
fano1.relabel(fano1.canonical_label()
fano2.relabel(fano2.canonical_label()
Graph()
self.num_points()
g.add_edges((i+n,x)
enumerate(self._blocks)
g.canonical_label([list(range(n)
list(range(n,n+self.num_blocks()
range(n)
dict(zip(self._points,self._canonical_label)
is_isomorphic(self, other, certificate=False)
designs.balanced_incomplete_block_design(7,3)
designs.projective_plane(2)
fano1.is_isomorphic(fano2)
fano1.is_isomorphic(fano2,certificate=True)
IncidenceStructure([["A",5,pi],["A",5,"Wouhou"],["A","Wouhou",(9,9)
IS.copy()
IS2.relabel(IS2.canonical_label()
IS.is_isomorphic(IS2)
IS.is_isomorphic(IS2,certificate=True)
IS.relabel(canon)
IncidenceStructure([[1,2]])
IS2.is_isomorphic(IS)
IS2.is_isomorphic(IS,certificate=True)