Mercurial > repos > shellac > sam_consensus_v3
annotate env/lib/python3.9/site-packages/networkx/algorithms/approximation/tests/test_clique.py @ 0:4f3585e2f14b draft default tip
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author | shellac |
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date | Mon, 22 Mar 2021 18:12:50 +0000 |
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1 """Unit tests for the :mod:`networkx.algorithms.approximation.clique` |
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2 module. |
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3 |
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4 """ |
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5 |
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6 |
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7 import networkx as nx |
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8 from networkx.algorithms.approximation import max_clique |
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9 from networkx.algorithms.approximation import clique_removal |
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10 from networkx.algorithms.approximation import large_clique_size |
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11 |
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12 |
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13 def is_independent_set(G, nodes): |
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14 """Returns True if and only if `nodes` is a clique in `G`. |
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15 |
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16 `G` is a NetworkX graph. `nodes` is an iterable of nodes in |
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17 `G`. |
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18 |
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19 """ |
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20 return G.subgraph(nodes).number_of_edges() == 0 |
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21 |
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22 |
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23 def is_clique(G, nodes): |
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24 """Returns True if and only if `nodes` is an independent set |
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25 in `G`. |
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26 |
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27 `G` is an undirected simple graph. `nodes` is an iterable of |
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28 nodes in `G`. |
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29 |
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30 """ |
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31 H = G.subgraph(nodes) |
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32 n = len(H) |
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33 return H.number_of_edges() == n * (n - 1) // 2 |
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34 |
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35 |
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36 class TestCliqueRemoval: |
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37 """Unit tests for the |
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38 :func:`~networkx.algorithms.approximation.clique_removal` function. |
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39 |
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40 """ |
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41 |
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42 def test_trivial_graph(self): |
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43 G = nx.trivial_graph() |
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44 independent_set, cliques = clique_removal(G) |
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45 assert is_independent_set(G, independent_set) |
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46 assert all(is_clique(G, clique) for clique in cliques) |
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47 # In fact, we should only have 1-cliques, that is, singleton nodes. |
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48 assert all(len(clique) == 1 for clique in cliques) |
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49 |
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50 def test_complete_graph(self): |
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51 G = nx.complete_graph(10) |
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52 independent_set, cliques = clique_removal(G) |
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53 assert is_independent_set(G, independent_set) |
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54 assert all(is_clique(G, clique) for clique in cliques) |
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55 |
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56 def test_barbell_graph(self): |
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57 G = nx.barbell_graph(10, 5) |
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58 independent_set, cliques = clique_removal(G) |
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59 assert is_independent_set(G, independent_set) |
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60 assert all(is_clique(G, clique) for clique in cliques) |
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61 |
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62 |
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63 class TestMaxClique: |
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64 """Unit tests for the :func:`networkx.algorithms.approximation.max_clique` |
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65 function. |
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66 |
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67 """ |
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68 |
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69 def test_null_graph(self): |
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70 G = nx.null_graph() |
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71 assert len(max_clique(G)) == 0 |
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72 |
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73 def test_complete_graph(self): |
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74 graph = nx.complete_graph(30) |
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75 # this should return the entire graph |
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76 mc = max_clique(graph) |
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77 assert 30 == len(mc) |
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78 |
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79 def test_maximal_by_cardinality(self): |
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80 """Tests that the maximal clique is computed according to maximum |
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81 cardinality of the sets. |
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82 |
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83 For more information, see pull request #1531. |
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84 |
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85 """ |
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86 G = nx.complete_graph(5) |
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87 G.add_edge(4, 5) |
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88 clique = max_clique(G) |
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89 assert len(clique) > 1 |
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90 |
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91 G = nx.lollipop_graph(30, 2) |
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92 clique = max_clique(G) |
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93 assert len(clique) > 2 |
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94 |
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95 |
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96 def test_large_clique_size(): |
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97 G = nx.complete_graph(9) |
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98 nx.add_cycle(G, [9, 10, 11]) |
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99 G.add_edge(8, 9) |
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100 G.add_edge(1, 12) |
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101 G.add_node(13) |
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102 |
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103 assert large_clique_size(G) == 9 |
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104 G.remove_node(5) |
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105 assert large_clique_size(G) == 8 |
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106 G.remove_edge(2, 3) |
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107 assert large_clique_size(G) == 7 |