annotate env/lib/python3.9/site-packages/networkx/algorithms/components/tests/test_biconnected.py @ 0:4f3585e2f14b draft default tip

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author shellac
date Mon, 22 Mar 2021 18:12:50 +0000
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1 import pytest
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2 import networkx as nx
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3 from networkx import NetworkXNotImplemented
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4
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5
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6 def assert_components_edges_equal(x, y):
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7 sx = {frozenset([frozenset(e) for e in c]) for c in x}
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8 sy = {frozenset([frozenset(e) for e in c]) for c in y}
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9 assert sx == sy
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10
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11
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12 def assert_components_equal(x, y):
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13 sx = {frozenset(c) for c in x}
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14 sy = {frozenset(c) for c in y}
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15 assert sx == sy
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16
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17
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18 def test_barbell():
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19 G = nx.barbell_graph(8, 4)
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20 nx.add_path(G, [7, 20, 21, 22])
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21 nx.add_cycle(G, [22, 23, 24, 25])
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22 pts = set(nx.articulation_points(G))
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23 assert pts == {7, 8, 9, 10, 11, 12, 20, 21, 22}
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24
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25 answer = [
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26 {12, 13, 14, 15, 16, 17, 18, 19},
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27 {0, 1, 2, 3, 4, 5, 6, 7},
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28 {22, 23, 24, 25},
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29 {11, 12},
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30 {10, 11},
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31 {9, 10},
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32 {8, 9},
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33 {7, 8},
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34 {21, 22},
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35 {20, 21},
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36 {7, 20},
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37 ]
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38 assert_components_equal(list(nx.biconnected_components(G)), answer)
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39
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40 G.add_edge(2, 17)
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41 pts = set(nx.articulation_points(G))
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42 assert pts == {7, 20, 21, 22}
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43
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44
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45 def test_articulation_points_repetitions():
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46 G = nx.Graph()
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47 G.add_edges_from([(0, 1), (1, 2), (1, 3)])
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48 assert list(nx.articulation_points(G)) == [1]
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49
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50
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51 def test_articulation_points_cycle():
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52 G = nx.cycle_graph(3)
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53 nx.add_cycle(G, [1, 3, 4])
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54 pts = set(nx.articulation_points(G))
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55 assert pts == {1}
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56
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57
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58 def test_is_biconnected():
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59 G = nx.cycle_graph(3)
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60 assert nx.is_biconnected(G)
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61 nx.add_cycle(G, [1, 3, 4])
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62 assert not nx.is_biconnected(G)
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63
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64
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65 def test_empty_is_biconnected():
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66 G = nx.empty_graph(5)
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67 assert not nx.is_biconnected(G)
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68 G.add_edge(0, 1)
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69 assert not nx.is_biconnected(G)
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70
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71
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72 def test_biconnected_components_cycle():
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73 G = nx.cycle_graph(3)
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74 nx.add_cycle(G, [1, 3, 4])
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75 answer = [{0, 1, 2}, {1, 3, 4}]
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76 assert_components_equal(list(nx.biconnected_components(G)), answer)
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77
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78
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79 def test_biconnected_components1():
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80 # graph example from
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81 # http://www.ibluemojo.com/school/articul_algorithm.html
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82 edges = [
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83 (0, 1),
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84 (0, 5),
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85 (0, 6),
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86 (0, 14),
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87 (1, 5),
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88 (1, 6),
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89 (1, 14),
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90 (2, 4),
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91 (2, 10),
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92 (3, 4),
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93 (3, 15),
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94 (4, 6),
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95 (4, 7),
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96 (4, 10),
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97 (5, 14),
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98 (6, 14),
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99 (7, 9),
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100 (8, 9),
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101 (8, 12),
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102 (8, 13),
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103 (10, 15),
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104 (11, 12),
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105 (11, 13),
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106 (12, 13),
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107 ]
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108 G = nx.Graph(edges)
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109 pts = set(nx.articulation_points(G))
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110 assert pts == {4, 6, 7, 8, 9}
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111 comps = list(nx.biconnected_component_edges(G))
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112 answer = [
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113 [(3, 4), (15, 3), (10, 15), (10, 4), (2, 10), (4, 2)],
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114 [(13, 12), (13, 8), (11, 13), (12, 11), (8, 12)],
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115 [(9, 8)],
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116 [(7, 9)],
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117 [(4, 7)],
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118 [(6, 4)],
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119 [(14, 0), (5, 1), (5, 0), (14, 5), (14, 1), (6, 14), (6, 0), (1, 6), (0, 1)],
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120 ]
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121 assert_components_edges_equal(comps, answer)
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122
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123
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124 def test_biconnected_components2():
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125 G = nx.Graph()
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126 nx.add_cycle(G, "ABC")
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127 nx.add_cycle(G, "CDE")
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128 nx.add_cycle(G, "FIJHG")
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129 nx.add_cycle(G, "GIJ")
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130 G.add_edge("E", "G")
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131 comps = list(nx.biconnected_component_edges(G))
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132 answer = [
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133 [
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134 tuple("GF"),
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135 tuple("FI"),
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136 tuple("IG"),
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137 tuple("IJ"),
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138 tuple("JG"),
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139 tuple("JH"),
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140 tuple("HG"),
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141 ],
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142 [tuple("EG")],
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143 [tuple("CD"), tuple("DE"), tuple("CE")],
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144 [tuple("AB"), tuple("BC"), tuple("AC")],
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145 ]
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146 assert_components_edges_equal(comps, answer)
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147
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148
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149 def test_biconnected_davis():
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150 D = nx.davis_southern_women_graph()
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151 bcc = list(nx.biconnected_components(D))[0]
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152 assert set(D) == bcc # All nodes in a giant bicomponent
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153 # So no articulation points
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154 assert len(list(nx.articulation_points(D))) == 0
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155
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156
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157 def test_biconnected_karate():
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158 K = nx.karate_club_graph()
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159 answer = [
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160 {
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161 0,
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162 1,
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163 2,
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164 3,
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165 7,
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166 8,
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167 9,
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168 12,
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169 13,
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170 14,
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171 15,
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172 17,
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173 18,
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174 19,
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175 20,
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176 21,
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177 22,
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178 23,
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179 24,
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180 25,
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181 26,
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182 27,
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183 28,
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184 29,
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185 30,
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186 31,
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187 32,
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188 33,
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189 },
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190 {0, 4, 5, 6, 10, 16},
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191 {0, 11},
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192 ]
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193 bcc = list(nx.biconnected_components(K))
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194 assert_components_equal(bcc, answer)
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195 assert set(nx.articulation_points(K)) == {0}
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196
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197
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198 def test_biconnected_eppstein():
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199 # tests from http://www.ics.uci.edu/~eppstein/PADS/Biconnectivity.py
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200 G1 = nx.Graph(
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201 {
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202 0: [1, 2, 5],
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203 1: [0, 5],
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204 2: [0, 3, 4],
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205 3: [2, 4, 5, 6],
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206 4: [2, 3, 5, 6],
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207 5: [0, 1, 3, 4],
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208 6: [3, 4],
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209 }
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210 )
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211 G2 = nx.Graph(
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212 {
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213 0: [2, 5],
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214 1: [3, 8],
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215 2: [0, 3, 5],
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216 3: [1, 2, 6, 8],
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217 4: [7],
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218 5: [0, 2],
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219 6: [3, 8],
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220 7: [4],
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221 8: [1, 3, 6],
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222 }
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223 )
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224 assert nx.is_biconnected(G1)
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225 assert not nx.is_biconnected(G2)
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226 answer_G2 = [{1, 3, 6, 8}, {0, 2, 5}, {2, 3}, {4, 7}]
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227 bcc = list(nx.biconnected_components(G2))
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228 assert_components_equal(bcc, answer_G2)
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229
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230
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231 def test_null_graph():
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232 G = nx.Graph()
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233 assert not nx.is_biconnected(G)
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234 assert list(nx.biconnected_components(G)) == []
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235 assert list(nx.biconnected_component_edges(G)) == []
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236 assert list(nx.articulation_points(G)) == []
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237
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238
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239 def test_connected_raise():
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240 DG = nx.DiGraph()
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241 pytest.raises(NetworkXNotImplemented, nx.biconnected_components, DG)
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242 pytest.raises(NetworkXNotImplemented, nx.biconnected_component_edges, DG)
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243 pytest.raises(NetworkXNotImplemented, nx.articulation_points, DG)
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244 pytest.raises(NetworkXNotImplemented, nx.is_biconnected, DG)