diff --git a/src/sage/graphs/graph_decompositions/modular_decomposition.py b/src/sage/graphs/graph_decompositions/modular_decomposition.py index 8e8c3085c54..0539336d8ad 100644 --- a/src/sage/graphs/graph_decompositions/modular_decomposition.py +++ b/src/sage/graphs/graph_decompositions/modular_decomposition.py @@ -299,7 +299,7 @@ def modular_decomposition(graph): The Icosahedral graph is Prime:: - sage: from sage.graphs.graph_decompositions.modular_decomposition import * + sage: from sage.graphs.graph_decompositions.modular_decomposition import modular_decomposition, print_md_tree, _test_modular_decomposition sage: print_md_tree(modular_decomposition(graphs.IcosahedralGraph())) PRIME 5 @@ -2538,7 +2538,8 @@ def habib_maurer_algorithm(graph, g_classes=None): The Icosahedral graph is Prime:: - sage: from sage.graphs.graph_decompositions.modular_decomposition import * + sage: from sage.graphs.graph_decompositions.modular_decomposition import ( + ....: modular_decomposition, habib_maurer_algorithm, print_md_tree, _test_modular_decomposition) sage: print_md_tree(habib_maurer_algorithm(graphs.IcosahedralGraph())) PRIME 1 @@ -2721,7 +2722,8 @@ def _test_modular_decomposition(tree_root, graph): EXAMPLES:: - sage: from sage.graphs.graph_decompositions.modular_decomposition import * + sage: from sage.graphs.graph_decompositions.modular_decomposition import ( + ....: modular_decomposition, _test_modular_decomposition) sage: g = graphs.HexahedralGraph() sage: _test_modular_decomposition(modular_decomposition(g), g) True @@ -2732,8 +2734,9 @@ def _test_modular_decomposition(tree_root, graph): # test whether modules pass the defining # characteristics of modules return False - if not _test_modular_decomposition(module, - graph.subgraph(get_vertices(module))): + if not _test_modular_decomposition( + module, graph.subgraph(get_vertices(module)) + ): # recursively test the modular decomposition subtrees return False @@ -2770,7 +2773,8 @@ def _test_maximal_modules(tree_root, graph): EXAMPLES:: - sage: from sage.graphs.graph_decompositions.modular_decomposition import * + sage: from sage.graphs.graph_decompositions.modular_decomposition import ( + ....: modular_decomposition, _test_maximal_modules) sage: g = graphs.HexahedralGraph() sage: _test_maximal_modules(modular_decomposition(g), g) True @@ -2919,7 +2923,8 @@ def _test_module(module, graph): EXAMPLES:: - sage: from sage.graphs.graph_decompositions.modular_decomposition import * + sage: from sage.graphs.graph_decompositions.modular_decomposition import ( + ....: modular_decomposition, _test_module) sage: g = graphs.HexahedralGraph() sage: tree_root = modular_decomposition(g) sage: _test_module(tree_root, g) @@ -3230,7 +3235,7 @@ def _test_gamma_modules(trials, vertices, prob, verbose=False): EXAMPLES:: - sage: from sage.graphs.graph_decompositions.modular_decomposition import * + sage: from sage.graphs.graph_decompositions.modular_decomposition import _test_gamma_modules sage: _test_gamma_modules(3, 7, 0.5) """ from sage.graphs.generators.random import RandomGNP @@ -3272,8 +3277,8 @@ def permute_decomposition(trials, algorithm, vertices, prob, verbose=False): print(random_perm) t1 = algorithm(g1) t2 = algorithm(g2) - assert(_test_modular_decomposition(t1, g1)) - assert(_test_modular_decomposition(t2, g2)) + assert _test_modular_decomposition(t1, g1) + assert _test_modular_decomposition(t2, g2) t1p = relabel_tree(t1, random_perm) assert(equivalent_trees(t1p, t2)) if verbose: