Mercurial > repos > shellac > sam_consensus_v3
annotate env/lib/python3.9/site-packages/networkx/algorithms/connectivity/tests/test_kcutsets.py @ 0:4f3585e2f14b draft default tip
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
author | shellac |
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date | Mon, 22 Mar 2021 18:12:50 +0000 |
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1 # Jordi Torrents |
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2 # Test for k-cutsets |
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3 import itertools |
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4 import pytest |
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5 |
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6 import networkx as nx |
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7 from networkx.algorithms import flow |
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8 from networkx.algorithms.connectivity.kcutsets import _is_separating_set |
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9 |
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10 MAX_CUTSETS_TO_TEST = 4 # originally 100. cut to decrease testing time |
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11 |
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12 flow_funcs = [ |
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13 flow.boykov_kolmogorov, |
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14 flow.dinitz, |
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15 flow.edmonds_karp, |
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16 flow.preflow_push, |
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17 flow.shortest_augmenting_path, |
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18 ] |
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19 |
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20 |
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21 ## |
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22 # Some nice synthetic graphs |
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23 ## |
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24 def graph_example_1(): |
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25 G = nx.convert_node_labels_to_integers( |
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26 nx.grid_graph([5, 5]), label_attribute="labels" |
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27 ) |
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28 rlabels = nx.get_node_attributes(G, "labels") |
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29 labels = {v: k for k, v in rlabels.items()} |
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30 |
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31 for nodes in [ |
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32 (labels[(0, 0)], labels[(1, 0)]), |
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33 (labels[(0, 4)], labels[(1, 4)]), |
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34 (labels[(3, 0)], labels[(4, 0)]), |
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35 (labels[(3, 4)], labels[(4, 4)]), |
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36 ]: |
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37 new_node = G.order() + 1 |
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38 # Petersen graph is triconnected |
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39 P = nx.petersen_graph() |
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40 G = nx.disjoint_union(G, P) |
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41 # Add two edges between the grid and P |
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42 G.add_edge(new_node + 1, nodes[0]) |
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43 G.add_edge(new_node, nodes[1]) |
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44 # K5 is 4-connected |
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45 K = nx.complete_graph(5) |
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46 G = nx.disjoint_union(G, K) |
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47 # Add three edges between P and K5 |
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48 G.add_edge(new_node + 2, new_node + 11) |
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49 G.add_edge(new_node + 3, new_node + 12) |
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50 G.add_edge(new_node + 4, new_node + 13) |
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51 # Add another K5 sharing a node |
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52 G = nx.disjoint_union(G, K) |
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53 nbrs = G[new_node + 10] |
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54 G.remove_node(new_node + 10) |
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55 for nbr in nbrs: |
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56 G.add_edge(new_node + 17, nbr) |
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57 G.add_edge(new_node + 16, new_node + 5) |
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58 return G |
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59 |
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60 |
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61 def torrents_and_ferraro_graph(): |
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62 G = nx.convert_node_labels_to_integers( |
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63 nx.grid_graph([5, 5]), label_attribute="labels" |
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64 ) |
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65 rlabels = nx.get_node_attributes(G, "labels") |
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66 labels = {v: k for k, v in rlabels.items()} |
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67 |
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68 for nodes in [(labels[(0, 4)], labels[(1, 4)]), (labels[(3, 4)], labels[(4, 4)])]: |
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69 new_node = G.order() + 1 |
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70 # Petersen graph is triconnected |
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71 P = nx.petersen_graph() |
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72 G = nx.disjoint_union(G, P) |
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73 # Add two edges between the grid and P |
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74 G.add_edge(new_node + 1, nodes[0]) |
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75 G.add_edge(new_node, nodes[1]) |
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76 # K5 is 4-connected |
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77 K = nx.complete_graph(5) |
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78 G = nx.disjoint_union(G, K) |
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79 # Add three edges between P and K5 |
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80 G.add_edge(new_node + 2, new_node + 11) |
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81 G.add_edge(new_node + 3, new_node + 12) |
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82 G.add_edge(new_node + 4, new_node + 13) |
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83 # Add another K5 sharing a node |
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84 G = nx.disjoint_union(G, K) |
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85 nbrs = G[new_node + 10] |
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86 G.remove_node(new_node + 10) |
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87 for nbr in nbrs: |
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88 G.add_edge(new_node + 17, nbr) |
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89 # Commenting this makes the graph not biconnected !! |
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90 # This stupid mistake make one reviewer very angry :P |
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91 G.add_edge(new_node + 16, new_node + 8) |
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92 |
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93 for nodes in [(labels[(0, 0)], labels[(1, 0)]), (labels[(3, 0)], labels[(4, 0)])]: |
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94 new_node = G.order() + 1 |
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95 # Petersen graph is triconnected |
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96 P = nx.petersen_graph() |
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97 G = nx.disjoint_union(G, P) |
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98 # Add two edges between the grid and P |
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99 G.add_edge(new_node + 1, nodes[0]) |
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100 G.add_edge(new_node, nodes[1]) |
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101 # K5 is 4-connected |
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102 K = nx.complete_graph(5) |
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103 G = nx.disjoint_union(G, K) |
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104 # Add three edges between P and K5 |
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105 G.add_edge(new_node + 2, new_node + 11) |
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106 G.add_edge(new_node + 3, new_node + 12) |
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107 G.add_edge(new_node + 4, new_node + 13) |
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108 # Add another K5 sharing two nodes |
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109 G = nx.disjoint_union(G, K) |
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110 nbrs = G[new_node + 10] |
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111 G.remove_node(new_node + 10) |
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112 for nbr in nbrs: |
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113 G.add_edge(new_node + 17, nbr) |
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114 nbrs2 = G[new_node + 9] |
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115 G.remove_node(new_node + 9) |
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116 for nbr in nbrs2: |
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117 G.add_edge(new_node + 18, nbr) |
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118 return G |
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119 |
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120 |
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121 # Helper function |
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122 def _check_separating_sets(G): |
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123 for cc in nx.connected_components(G): |
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124 if len(cc) < 3: |
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125 continue |
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126 Gc = G.subgraph(cc) |
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127 node_conn = nx.node_connectivity(Gc) |
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128 all_cuts = nx.all_node_cuts(Gc) |
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129 # Only test a limited number of cut sets to reduce test time. |
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130 for cut in itertools.islice(all_cuts, MAX_CUTSETS_TO_TEST): |
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131 assert node_conn == len(cut) |
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132 assert not nx.is_connected(nx.restricted_view(G, cut, [])) |
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133 |
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134 |
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135 @pytest.mark.slow |
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136 def test_torrents_and_ferraro_graph(): |
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137 G = torrents_and_ferraro_graph() |
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138 _check_separating_sets(G) |
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139 |
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140 |
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141 def test_example_1(): |
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142 G = graph_example_1() |
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143 _check_separating_sets(G) |
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144 |
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145 |
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146 def test_random_gnp(): |
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147 G = nx.gnp_random_graph(100, 0.1, seed=42) |
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148 _check_separating_sets(G) |
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149 |
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150 |
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151 def test_shell(): |
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152 constructor = [(20, 80, 0.8), (80, 180, 0.6)] |
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153 G = nx.random_shell_graph(constructor, seed=42) |
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154 _check_separating_sets(G) |
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155 |
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156 |
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157 def test_configuration(): |
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158 deg_seq = nx.random_powerlaw_tree_sequence(100, tries=5, seed=72) |
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159 G = nx.Graph(nx.configuration_model(deg_seq)) |
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160 G.remove_edges_from(nx.selfloop_edges(G)) |
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161 _check_separating_sets(G) |
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162 |
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163 |
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164 def test_karate(): |
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165 G = nx.karate_club_graph() |
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166 _check_separating_sets(G) |
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167 |
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168 |
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169 def _generate_no_biconnected(max_attempts=50): |
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170 attempts = 0 |
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171 while True: |
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172 G = nx.fast_gnp_random_graph(100, 0.0575, seed=42) |
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173 if nx.is_connected(G) and not nx.is_biconnected(G): |
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174 attempts = 0 |
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175 yield G |
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176 else: |
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177 if attempts >= max_attempts: |
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178 msg = f"Tried {attempts} times: no suitable Graph." |
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179 raise Exception(msg) |
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180 else: |
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181 attempts += 1 |
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182 |
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183 |
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184 def test_articulation_points(): |
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185 Ggen = _generate_no_biconnected() |
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186 for i in range(1): # change 1 to 3 or more for more realizations. |
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187 G = next(Ggen) |
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188 articulation_points = list({a} for a in nx.articulation_points(G)) |
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189 for cut in nx.all_node_cuts(G): |
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190 assert cut in articulation_points |
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191 |
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192 |
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193 def test_grid_2d_graph(): |
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194 # All minimum node cuts of a 2d grid |
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195 # are the four pairs of nodes that are |
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196 # neighbors of the four corner nodes. |
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197 G = nx.grid_2d_graph(5, 5) |
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198 solution = [{(0, 1), (1, 0)}, {(3, 0), (4, 1)}, {(3, 4), (4, 3)}, {(0, 3), (1, 4)}] |
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199 for cut in nx.all_node_cuts(G): |
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200 assert cut in solution |
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201 |
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202 |
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203 def test_disconnected_graph(): |
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204 G = nx.fast_gnp_random_graph(100, 0.01, seed=42) |
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205 cuts = nx.all_node_cuts(G) |
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206 pytest.raises(nx.NetworkXError, next, cuts) |
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207 |
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208 |
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209 @pytest.mark.slow |
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210 def test_alternative_flow_functions(): |
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211 graphs = [nx.grid_2d_graph(4, 4), nx.cycle_graph(5)] |
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212 for G in graphs: |
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213 node_conn = nx.node_connectivity(G) |
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214 for flow_func in flow_funcs: |
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215 all_cuts = nx.all_node_cuts(G, flow_func=flow_func) |
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216 # Only test a limited number of cut sets to reduce test time. |
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217 for cut in itertools.islice(all_cuts, MAX_CUTSETS_TO_TEST): |
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218 assert node_conn == len(cut) |
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219 assert not nx.is_connected(nx.restricted_view(G, cut, [])) |
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220 |
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221 |
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222 def test_is_separating_set_complete_graph(): |
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223 G = nx.complete_graph(5) |
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224 assert _is_separating_set(G, {0, 1, 2, 3}) |
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225 |
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226 |
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227 def test_is_separating_set(): |
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228 for i in [5, 10, 15]: |
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229 G = nx.star_graph(i) |
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230 max_degree_node = max(G, key=G.degree) |
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231 assert _is_separating_set(G, {max_degree_node}) |
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232 |
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233 |
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234 def test_non_repeated_cuts(): |
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235 # The algorithm was repeating the cut {0, 1} for the giant biconnected |
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236 # component of the Karate club graph. |
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237 K = nx.karate_club_graph() |
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238 bcc = max(list(nx.biconnected_components(K)), key=len) |
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239 G = K.subgraph(bcc) |
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240 solution = [{32, 33}, {2, 33}, {0, 3}, {0, 1}, {29, 33}] |
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241 cuts = list(nx.all_node_cuts(G)) |
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242 if len(solution) != len(cuts): |
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243 print(nx.info(G)) |
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244 print(f"Solution: {solution}") |
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245 print(f"Result: {cuts}") |
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246 assert len(solution) == len(cuts) |
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247 for cut in cuts: |
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248 assert cut in solution |
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249 |
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250 |
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251 def test_cycle_graph(): |
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252 G = nx.cycle_graph(5) |
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253 solution = [{0, 2}, {0, 3}, {1, 3}, {1, 4}, {2, 4}] |
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254 cuts = list(nx.all_node_cuts(G)) |
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255 assert len(solution) == len(cuts) |
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256 for cut in cuts: |
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257 assert cut in solution |
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258 |
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259 |
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260 def test_complete_graph(): |
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261 G = nx.complete_graph(5) |
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262 solution = [{0, 1, 2, 3}, {0, 1, 2, 4}, {0, 1, 3, 4}, {0, 2, 3, 4}, {1, 2, 3, 4}] |
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263 cuts = list(nx.all_node_cuts(G)) |
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264 assert len(solution) == len(cuts) |
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265 for cut in cuts: |
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266 assert cut in solution |