Mercurial > repos > shellac > sam_consensus_v3
annotate env/lib/python3.9/site-packages/networkx/algorithms/tests/test_minors.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.minors` module.""" |
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2 import pytest |
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3 |
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4 import networkx as nx |
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5 from networkx.testing.utils import assert_edges_equal, assert_nodes_equal |
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6 from networkx.utils import arbitrary_element |
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7 |
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8 |
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9 class TestQuotient: |
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10 """Unit tests for computing quotient graphs.""" |
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11 |
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12 def test_quotient_graph_complete_multipartite(self): |
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13 """Tests that the quotient graph of the complete *n*-partite graph |
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14 under the "same neighbors" node relation is the complete graph on *n* |
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15 nodes. |
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16 |
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17 """ |
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18 G = nx.complete_multipartite_graph(2, 3, 4) |
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19 # Two nodes are equivalent if they are not adjacent but have the same |
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20 # neighbor set. |
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21 |
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22 def same_neighbors(u, v): |
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23 return u not in G[v] and v not in G[u] and G[u] == G[v] |
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24 |
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25 expected = nx.complete_graph(3) |
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26 actual = nx.quotient_graph(G, same_neighbors) |
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27 # It won't take too long to run a graph isomorphism algorithm on such |
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28 # small graphs. |
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29 assert nx.is_isomorphic(expected, actual) |
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30 |
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31 def test_quotient_graph_complete_bipartite(self): |
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32 """Tests that the quotient graph of the complete bipartite graph under |
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33 the "same neighbors" node relation is `K_2`. |
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34 |
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35 """ |
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36 G = nx.complete_bipartite_graph(2, 3) |
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37 # Two nodes are equivalent if they are not adjacent but have the same |
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38 # neighbor set. |
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39 |
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40 def same_neighbors(u, v): |
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41 return u not in G[v] and v not in G[u] and G[u] == G[v] |
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42 |
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43 expected = nx.complete_graph(2) |
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44 actual = nx.quotient_graph(G, same_neighbors) |
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45 # It won't take too long to run a graph isomorphism algorithm on such |
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46 # small graphs. |
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47 assert nx.is_isomorphic(expected, actual) |
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48 |
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49 def test_quotient_graph_edge_relation(self): |
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50 """Tests for specifying an alternate edge relation for the quotient |
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51 graph. |
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52 |
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53 """ |
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54 G = nx.path_graph(5) |
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55 |
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56 def identity(u, v): |
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57 return u == v |
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58 |
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59 def same_parity(b, c): |
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60 return arbitrary_element(b) % 2 == arbitrary_element(c) % 2 |
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61 |
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62 actual = nx.quotient_graph(G, identity, same_parity) |
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63 expected = nx.Graph() |
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64 expected.add_edges_from([(0, 2), (0, 4), (2, 4)]) |
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65 expected.add_edge(1, 3) |
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66 assert nx.is_isomorphic(actual, expected) |
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67 |
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68 def test_condensation_as_quotient(self): |
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69 """This tests that the condensation of a graph can be viewed as the |
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70 quotient graph under the "in the same connected component" equivalence |
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71 relation. |
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72 |
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73 """ |
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74 # This example graph comes from the file `test_strongly_connected.py`. |
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75 G = nx.DiGraph() |
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76 G.add_edges_from( |
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77 [ |
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78 (1, 2), |
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79 (2, 3), |
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80 (2, 11), |
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81 (2, 12), |
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82 (3, 4), |
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83 (4, 3), |
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84 (4, 5), |
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85 (5, 6), |
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86 (6, 5), |
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87 (6, 7), |
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88 (7, 8), |
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89 (7, 9), |
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91 (8, 9), |
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92 (9, 7), |
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96 (11, 6), |
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97 (12, 6), |
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98 (12, 11), |
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99 ] |
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100 ) |
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101 scc = list(nx.strongly_connected_components(G)) |
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102 C = nx.condensation(G, scc) |
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103 component_of = C.graph["mapping"] |
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104 # Two nodes are equivalent if they are in the same connected component. |
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105 |
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106 def same_component(u, v): |
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107 return component_of[u] == component_of[v] |
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108 |
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109 Q = nx.quotient_graph(G, same_component) |
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110 assert nx.is_isomorphic(C, Q) |
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111 |
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112 def test_path(self): |
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113 G = nx.path_graph(6) |
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114 partition = [{0, 1}, {2, 3}, {4, 5}] |
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115 M = nx.quotient_graph(G, partition, relabel=True) |
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116 assert_nodes_equal(M, [0, 1, 2]) |
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117 assert_edges_equal(M.edges(), [(0, 1), (1, 2)]) |
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118 for n in M: |
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119 assert M.nodes[n]["nedges"] == 1 |
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120 assert M.nodes[n]["nnodes"] == 2 |
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121 assert M.nodes[n]["density"] == 1 |
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122 |
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123 def test_multigraph_path(self): |
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124 G = nx.MultiGraph(nx.path_graph(6)) |
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125 partition = [{0, 1}, {2, 3}, {4, 5}] |
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126 M = nx.quotient_graph(G, partition, relabel=True) |
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127 assert_nodes_equal(M, [0, 1, 2]) |
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128 assert_edges_equal(M.edges(), [(0, 1), (1, 2)]) |
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129 for n in M: |
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130 assert M.nodes[n]["nedges"] == 1 |
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131 assert M.nodes[n]["nnodes"] == 2 |
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132 assert M.nodes[n]["density"] == 1 |
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133 |
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134 def test_directed_path(self): |
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135 G = nx.DiGraph() |
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136 nx.add_path(G, range(6)) |
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137 partition = [{0, 1}, {2, 3}, {4, 5}] |
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138 M = nx.quotient_graph(G, partition, relabel=True) |
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139 assert_nodes_equal(M, [0, 1, 2]) |
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140 assert_edges_equal(M.edges(), [(0, 1), (1, 2)]) |
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141 for n in M: |
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142 assert M.nodes[n]["nedges"] == 1 |
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143 assert M.nodes[n]["nnodes"] == 2 |
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144 assert M.nodes[n]["density"] == 0.5 |
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145 |
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146 def test_directed_multigraph_path(self): |
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147 G = nx.MultiDiGraph() |
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148 nx.add_path(G, range(6)) |
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149 partition = [{0, 1}, {2, 3}, {4, 5}] |
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150 M = nx.quotient_graph(G, partition, relabel=True) |
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151 assert_nodes_equal(M, [0, 1, 2]) |
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152 assert_edges_equal(M.edges(), [(0, 1), (1, 2)]) |
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153 for n in M: |
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154 assert M.nodes[n]["nedges"] == 1 |
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155 assert M.nodes[n]["nnodes"] == 2 |
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156 assert M.nodes[n]["density"] == 0.5 |
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157 |
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158 def test_overlapping_blocks(self): |
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159 with pytest.raises(nx.NetworkXException): |
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160 G = nx.path_graph(6) |
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161 partition = [{0, 1, 2}, {2, 3}, {4, 5}] |
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162 nx.quotient_graph(G, partition) |
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163 |
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164 def test_weighted_path(self): |
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165 G = nx.path_graph(6) |
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166 for i in range(5): |
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167 G[i][i + 1]["weight"] = i + 1 |
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168 partition = [{0, 1}, {2, 3}, {4, 5}] |
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169 M = nx.quotient_graph(G, partition, relabel=True) |
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170 assert_nodes_equal(M, [0, 1, 2]) |
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171 assert_edges_equal(M.edges(), [(0, 1), (1, 2)]) |
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172 assert M[0][1]["weight"] == 2 |
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173 assert M[1][2]["weight"] == 4 |
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174 for n in M: |
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175 assert M.nodes[n]["nedges"] == 1 |
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176 assert M.nodes[n]["nnodes"] == 2 |
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177 assert M.nodes[n]["density"] == 1 |
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178 |
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179 def test_barbell(self): |
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180 G = nx.barbell_graph(3, 0) |
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181 partition = [{0, 1, 2}, {3, 4, 5}] |
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182 M = nx.quotient_graph(G, partition, relabel=True) |
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183 assert_nodes_equal(M, [0, 1]) |
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184 assert_edges_equal(M.edges(), [(0, 1)]) |
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185 for n in M: |
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186 assert M.nodes[n]["nedges"] == 3 |
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187 assert M.nodes[n]["nnodes"] == 3 |
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188 assert M.nodes[n]["density"] == 1 |
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189 |
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190 def test_barbell_plus(self): |
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191 G = nx.barbell_graph(3, 0) |
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192 # Add an extra edge joining the bells. |
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193 G.add_edge(0, 5) |
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194 partition = [{0, 1, 2}, {3, 4, 5}] |
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195 M = nx.quotient_graph(G, partition, relabel=True) |
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196 assert_nodes_equal(M, [0, 1]) |
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197 assert_edges_equal(M.edges(), [(0, 1)]) |
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198 assert M[0][1]["weight"] == 2 |
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199 for n in M: |
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200 assert M.nodes[n]["nedges"] == 3 |
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201 assert M.nodes[n]["nnodes"] == 3 |
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202 assert M.nodes[n]["density"] == 1 |
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203 |
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204 def test_blockmodel(self): |
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205 G = nx.path_graph(6) |
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206 partition = [[0, 1], [2, 3], [4, 5]] |
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207 M = nx.quotient_graph(G, partition, relabel=True) |
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208 assert_nodes_equal(M.nodes(), [0, 1, 2]) |
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209 assert_edges_equal(M.edges(), [(0, 1), (1, 2)]) |
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210 for n in M.nodes(): |
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211 assert M.nodes[n]["nedges"] == 1 |
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212 assert M.nodes[n]["nnodes"] == 2 |
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213 assert M.nodes[n]["density"] == 1.0 |
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214 |
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215 def test_multigraph_blockmodel(self): |
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216 G = nx.MultiGraph(nx.path_graph(6)) |
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217 partition = [[0, 1], [2, 3], [4, 5]] |
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218 M = nx.quotient_graph(G, partition, create_using=nx.MultiGraph(), relabel=True) |
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219 assert_nodes_equal(M.nodes(), [0, 1, 2]) |
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220 assert_edges_equal(M.edges(), [(0, 1), (1, 2)]) |
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221 for n in M.nodes(): |
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222 assert M.nodes[n]["nedges"] == 1 |
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223 assert M.nodes[n]["nnodes"] == 2 |
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224 assert M.nodes[n]["density"] == 1.0 |
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225 |
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226 def test_quotient_graph_incomplete_partition(self): |
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227 G = nx.path_graph(6) |
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228 partition = [] |
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229 H = nx.quotient_graph(G, partition, relabel=True) |
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230 assert_nodes_equal(H.nodes(), []) |
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231 assert_edges_equal(H.edges(), []) |
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232 |
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233 partition = [[0, 1], [2, 3], [5]] |
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234 H = nx.quotient_graph(G, partition, relabel=True) |
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235 assert_nodes_equal(H.nodes(), [0, 1, 2]) |
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236 assert_edges_equal(H.edges(), [(0, 1)]) |
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237 |
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238 |
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239 class TestContraction: |
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240 """Unit tests for node and edge contraction functions.""" |
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241 |
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242 def test_undirected_node_contraction(self): |
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243 """Tests for node contraction in an undirected graph.""" |
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244 G = nx.cycle_graph(4) |
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245 actual = nx.contracted_nodes(G, 0, 1) |
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246 expected = nx.cycle_graph(3) |
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247 expected.add_edge(0, 0) |
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248 assert nx.is_isomorphic(actual, expected) |
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249 |
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250 def test_directed_node_contraction(self): |
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251 """Tests for node contraction in a directed graph.""" |
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252 G = nx.DiGraph(nx.cycle_graph(4)) |
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253 actual = nx.contracted_nodes(G, 0, 1) |
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254 expected = nx.DiGraph(nx.cycle_graph(3)) |
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255 expected.add_edge(0, 0) |
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256 expected.add_edge(0, 0) |
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257 assert nx.is_isomorphic(actual, expected) |
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258 |
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259 def test_undirected_node_contraction_no_copy(self): |
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260 """Tests for node contraction in an undirected graph |
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261 by making changes in place.""" |
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262 G = nx.cycle_graph(4) |
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263 actual = nx.contracted_nodes(G, 0, 1, copy=False) |
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264 expected = nx.cycle_graph(3) |
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265 expected.add_edge(0, 0) |
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266 assert nx.is_isomorphic(actual, G) |
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267 assert nx.is_isomorphic(actual, expected) |
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268 |
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269 def test_directed_node_contraction_no_copy(self): |
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270 """Tests for node contraction in a directed graph |
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271 by making changes in place.""" |
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272 G = nx.DiGraph(nx.cycle_graph(4)) |
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273 actual = nx.contracted_nodes(G, 0, 1, copy=False) |
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274 expected = nx.DiGraph(nx.cycle_graph(3)) |
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275 expected.add_edge(0, 0) |
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276 expected.add_edge(0, 0) |
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277 assert nx.is_isomorphic(actual, G) |
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278 assert nx.is_isomorphic(actual, expected) |
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279 |
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280 def test_create_multigraph(self): |
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281 """Tests that using a MultiGraph creates multiple edges.""" |
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282 G = nx.path_graph(3, create_using=nx.MultiGraph()) |
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283 G.add_edge(0, 1) |
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284 G.add_edge(0, 0) |
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285 G.add_edge(0, 2) |
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286 actual = nx.contracted_nodes(G, 0, 2) |
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287 expected = nx.MultiGraph() |
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288 expected.add_edge(0, 1) |
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289 expected.add_edge(0, 1) |
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290 expected.add_edge(0, 1) |
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291 expected.add_edge(0, 0) |
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292 expected.add_edge(0, 0) |
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293 assert_edges_equal(actual.edges, expected.edges) |
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294 |
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295 def test_multigraph_keys(self): |
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296 """Tests that multiedge keys are reset in new graph.""" |
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297 G = nx.path_graph(3, create_using=nx.MultiGraph()) |
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298 G.add_edge(0, 1, 5) |
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299 G.add_edge(0, 0, 0) |
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300 G.add_edge(0, 2, 5) |
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301 actual = nx.contracted_nodes(G, 0, 2) |
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302 expected = nx.MultiGraph() |
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303 expected.add_edge(0, 1, 0) |
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304 expected.add_edge(0, 1, 5) |
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305 expected.add_edge(0, 1, 2) # keyed as 2 b/c 2 edges already in G |
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306 expected.add_edge(0, 0, 0) |
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307 expected.add_edge(0, 0, 1) # this comes from (0, 2, 5) |
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308 assert_edges_equal(actual.edges, expected.edges) |
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309 |
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310 def test_node_attributes(self): |
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311 """Tests that node contraction preserves node attributes.""" |
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312 G = nx.cycle_graph(4) |
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313 # Add some data to the two nodes being contracted. |
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314 G.nodes[0]["foo"] = "bar" |
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315 G.nodes[1]["baz"] = "xyzzy" |
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316 actual = nx.contracted_nodes(G, 0, 1) |
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317 # We expect that contracting the nodes 0 and 1 in C_4 yields K_3, but |
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318 # with nodes labeled 0, 2, and 3, and with a self-loop on 0. |
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319 expected = nx.complete_graph(3) |
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320 expected = nx.relabel_nodes(expected, {1: 2, 2: 3}) |
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321 expected.add_edge(0, 0) |
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322 cdict = {1: {"baz": "xyzzy"}} |
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323 expected.nodes[0].update(dict(foo="bar", contraction=cdict)) |
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324 assert nx.is_isomorphic(actual, expected) |
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325 assert actual.nodes == expected.nodes |
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326 |
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327 def test_without_self_loops(self): |
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328 """Tests for node contraction without preserving self-loops.""" |
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329 G = nx.cycle_graph(4) |
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330 actual = nx.contracted_nodes(G, 0, 1, self_loops=False) |
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331 expected = nx.complete_graph(3) |
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332 assert nx.is_isomorphic(actual, expected) |
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333 |
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334 def test_contract_selfloop_graph(self): |
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335 """Tests for node contraction when nodes have selfloops.""" |
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336 G = nx.cycle_graph(4) |
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337 G.add_edge(0, 0) |
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338 actual = nx.contracted_nodes(G, 0, 1) |
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339 expected = nx.complete_graph([0, 2, 3]) |
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340 expected.add_edge(0, 0) |
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341 expected.add_edge(0, 0) |
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342 assert_edges_equal(actual.edges, expected.edges) |
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343 actual = nx.contracted_nodes(G, 1, 0) |
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344 expected = nx.complete_graph([1, 2, 3]) |
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345 expected.add_edge(1, 1) |
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346 expected.add_edge(1, 1) |
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347 assert_edges_equal(actual.edges, expected.edges) |
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348 |
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349 def test_undirected_edge_contraction(self): |
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350 """Tests for edge contraction in an undirected graph.""" |
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351 G = nx.cycle_graph(4) |
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352 actual = nx.contracted_edge(G, (0, 1)) |
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353 expected = nx.complete_graph(3) |
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354 expected.add_edge(0, 0) |
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355 assert nx.is_isomorphic(actual, expected) |
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356 |
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357 def test_nonexistent_edge(self): |
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358 """Tests that attempting to contract a non-existent edge raises an |
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359 exception. |
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360 |
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361 """ |
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362 with pytest.raises(ValueError): |
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363 G = nx.cycle_graph(4) |
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364 nx.contracted_edge(G, (0, 2)) |