Mercurial > repos > shellac > sam_consensus_v3
annotate env/lib/python3.9/site-packages/networkx/algorithms/tests/test_cuts.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.cuts` module.""" |
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2 |
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3 |
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4 import networkx as nx |
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5 |
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6 |
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7 class TestCutSize: |
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8 """Unit tests for the :func:`~networkx.cut_size` function.""" |
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9 |
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10 def test_symmetric(self): |
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11 """Tests that the cut size is symmetric.""" |
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12 G = nx.barbell_graph(3, 0) |
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13 S = {0, 1, 4} |
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14 T = {2, 3, 5} |
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15 assert nx.cut_size(G, S, T) == 4 |
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16 assert nx.cut_size(G, T, S) == 4 |
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17 |
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18 def test_single_edge(self): |
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19 """Tests for a cut of a single edge.""" |
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20 G = nx.barbell_graph(3, 0) |
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21 S = {0, 1, 2} |
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22 T = {3, 4, 5} |
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23 assert nx.cut_size(G, S, T) == 1 |
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24 assert nx.cut_size(G, T, S) == 1 |
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25 |
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26 def test_directed(self): |
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27 """Tests that each directed edge is counted once in the cut.""" |
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28 G = nx.barbell_graph(3, 0).to_directed() |
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29 S = {0, 1, 2} |
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30 T = {3, 4, 5} |
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31 assert nx.cut_size(G, S, T) == 2 |
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32 assert nx.cut_size(G, T, S) == 2 |
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33 |
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34 def test_directed_symmetric(self): |
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35 """Tests that a cut in a directed graph is symmetric.""" |
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36 G = nx.barbell_graph(3, 0).to_directed() |
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37 S = {0, 1, 4} |
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38 T = {2, 3, 5} |
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39 assert nx.cut_size(G, S, T) == 8 |
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40 assert nx.cut_size(G, T, S) == 8 |
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41 |
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42 def test_multigraph(self): |
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43 """Tests that parallel edges are each counted for a cut.""" |
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44 G = nx.MultiGraph(["ab", "ab"]) |
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45 assert nx.cut_size(G, {"a"}, {"b"}) == 2 |
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46 |
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47 |
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48 class TestVolume: |
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49 """Unit tests for the :func:`~networkx.volume` function.""" |
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50 |
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51 def test_graph(self): |
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52 G = nx.cycle_graph(4) |
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53 assert nx.volume(G, {0, 1}) == 4 |
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54 |
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55 def test_digraph(self): |
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56 G = nx.DiGraph([(0, 1), (1, 2), (2, 3), (3, 0)]) |
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57 assert nx.volume(G, {0, 1}) == 2 |
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58 |
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59 def test_multigraph(self): |
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60 edges = list(nx.cycle_graph(4).edges()) |
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61 G = nx.MultiGraph(edges * 2) |
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62 assert nx.volume(G, {0, 1}) == 8 |
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63 |
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64 def test_multidigraph(self): |
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65 edges = [(0, 1), (1, 2), (2, 3), (3, 0)] |
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66 G = nx.MultiDiGraph(edges * 2) |
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67 assert nx.volume(G, {0, 1}) == 4 |
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68 |
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69 |
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70 class TestNormalizedCutSize: |
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71 """Unit tests for the :func:`~networkx.normalized_cut_size` |
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72 function. |
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73 |
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74 """ |
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75 |
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76 def test_graph(self): |
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77 G = nx.path_graph(4) |
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78 S = {1, 2} |
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79 T = set(G) - S |
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80 size = nx.normalized_cut_size(G, S, T) |
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81 # The cut looks like this: o-{-o--o-}-o |
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82 expected = 2 * ((1 / 4) + (1 / 2)) |
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83 assert expected == size |
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84 |
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85 def test_directed(self): |
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86 G = nx.DiGraph([(0, 1), (1, 2), (2, 3)]) |
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87 S = {1, 2} |
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88 T = set(G) - S |
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89 size = nx.normalized_cut_size(G, S, T) |
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90 # The cut looks like this: o-{->o-->o-}->o |
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91 expected = 2 * ((1 / 2) + (1 / 1)) |
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92 assert expected == size |
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93 |
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94 |
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95 class TestConductance: |
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96 """Unit tests for the :func:`~networkx.conductance` function.""" |
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97 |
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98 def test_graph(self): |
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99 G = nx.barbell_graph(5, 0) |
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100 # Consider the singleton sets containing the "bridge" nodes. |
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101 # There is only one cut edge, and each set has volume five. |
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102 S = {4} |
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103 T = {5} |
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104 conductance = nx.conductance(G, S, T) |
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105 expected = 1 / 5 |
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106 assert expected == conductance |
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107 |
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108 |
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109 class TestEdgeExpansion: |
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110 """Unit tests for the :func:`~networkx.edge_expansion` function.""" |
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111 |
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112 def test_graph(self): |
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113 G = nx.barbell_graph(5, 0) |
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114 S = set(range(5)) |
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115 T = set(G) - S |
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116 expansion = nx.edge_expansion(G, S, T) |
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117 expected = 1 / 5 |
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118 assert expected == expansion |
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119 |
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120 |
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121 class TestNodeExpansion: |
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122 """Unit tests for the :func:`~networkx.node_expansion` function. |
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123 |
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124 """ |
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125 |
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126 def test_graph(self): |
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127 G = nx.path_graph(8) |
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128 S = {3, 4, 5} |
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129 expansion = nx.node_expansion(G, S) |
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130 # The neighborhood of S has cardinality five, and S has |
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131 # cardinality three. |
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132 expected = 5 / 3 |
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133 assert expected == expansion |
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134 |
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135 |
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136 class TestBoundaryExpansion: |
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137 """Unit tests for the :func:`~networkx.boundary_expansion` function. |
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138 |
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139 """ |
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140 |
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141 def test_graph(self): |
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142 G = nx.complete_graph(10) |
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143 S = set(range(4)) |
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144 expansion = nx.boundary_expansion(G, S) |
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145 # The node boundary of S has cardinality six, and S has |
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146 # cardinality three. |
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147 expected = 6 / 4 |
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148 assert expected == expansion |
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149 |
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150 |
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151 class TestMixingExpansion: |
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152 """Unit tests for the :func:`~networkx.mixing_expansion` function. |
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153 |
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154 """ |
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155 |
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156 def test_graph(self): |
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157 G = nx.barbell_graph(5, 0) |
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158 S = set(range(5)) |
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159 T = set(G) - S |
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160 expansion = nx.mixing_expansion(G, S, T) |
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161 # There is one cut edge, and the total number of edges in the |
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162 # graph is twice the total number of edges in a clique of size |
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163 # five, plus one more for the bridge. |
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164 expected = 1 / (2 * (5 * 4 + 1)) |
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165 assert expected == expansion |