Mercurial > repos > shellac > sam_consensus_v3
annotate env/lib/python3.9/site-packages/networkx/algorithms/centrality/tests/test_load_centrality.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 import networkx as nx |
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2 from networkx.testing import almost_equal |
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3 |
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4 |
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5 class TestLoadCentrality: |
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6 @classmethod |
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7 def setup_class(cls): |
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8 |
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9 G = nx.Graph() |
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10 G.add_edge(0, 1, weight=3) |
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11 G.add_edge(0, 2, weight=2) |
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12 G.add_edge(0, 3, weight=6) |
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13 G.add_edge(0, 4, weight=4) |
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14 G.add_edge(1, 3, weight=5) |
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15 G.add_edge(1, 5, weight=5) |
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16 G.add_edge(2, 4, weight=1) |
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17 G.add_edge(3, 4, weight=2) |
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18 G.add_edge(3, 5, weight=1) |
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19 G.add_edge(4, 5, weight=4) |
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20 cls.G = G |
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21 cls.exact_weighted = {0: 4.0, 1: 0.0, 2: 8.0, 3: 6.0, 4: 8.0, 5: 0.0} |
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22 cls.K = nx.krackhardt_kite_graph() |
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23 cls.P3 = nx.path_graph(3) |
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24 cls.P4 = nx.path_graph(4) |
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25 cls.K5 = nx.complete_graph(5) |
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26 |
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27 cls.C4 = nx.cycle_graph(4) |
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28 cls.T = nx.balanced_tree(r=2, h=2) |
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29 cls.Gb = nx.Graph() |
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30 cls.Gb.add_edges_from([(0, 1), (0, 2), (1, 3), (2, 3), (2, 4), (4, 5), (3, 5)]) |
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31 cls.F = nx.florentine_families_graph() |
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32 cls.LM = nx.les_miserables_graph() |
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33 cls.D = nx.cycle_graph(3, create_using=nx.DiGraph()) |
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34 cls.D.add_edges_from([(3, 0), (4, 3)]) |
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35 |
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36 def test_not_strongly_connected(self): |
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37 b = nx.load_centrality(self.D) |
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38 result = {0: 5.0 / 12, 1: 1.0 / 4, 2: 1.0 / 12, 3: 1.0 / 4, 4: 0.000} |
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39 for n in sorted(self.D): |
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40 assert almost_equal(result[n], b[n], places=3) |
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41 assert almost_equal(result[n], nx.load_centrality(self.D, n), places=3) |
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42 |
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43 def test_weighted_load(self): |
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44 b = nx.load_centrality(self.G, weight="weight", normalized=False) |
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45 for n in sorted(self.G): |
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46 assert b[n] == self.exact_weighted[n] |
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47 |
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48 def test_k5_load(self): |
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49 G = self.K5 |
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50 c = nx.load_centrality(G) |
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51 d = {0: 0.000, 1: 0.000, 2: 0.000, 3: 0.000, 4: 0.000} |
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52 for n in sorted(G): |
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53 assert almost_equal(c[n], d[n], places=3) |
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54 |
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55 def test_p3_load(self): |
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56 G = self.P3 |
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57 c = nx.load_centrality(G) |
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58 d = {0: 0.000, 1: 1.000, 2: 0.000} |
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59 for n in sorted(G): |
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60 assert almost_equal(c[n], d[n], places=3) |
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61 c = nx.load_centrality(G, v=1) |
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62 assert almost_equal(c, 1.0) |
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63 c = nx.load_centrality(G, v=1, normalized=True) |
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64 assert almost_equal(c, 1.0) |
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65 |
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66 def test_p2_load(self): |
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67 G = nx.path_graph(2) |
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68 c = nx.load_centrality(G) |
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69 d = {0: 0.000, 1: 0.000} |
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70 for n in sorted(G): |
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71 assert almost_equal(c[n], d[n], places=3) |
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72 |
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73 def test_krackhardt_load(self): |
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74 G = self.K |
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75 c = nx.load_centrality(G) |
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76 d = { |
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77 0: 0.023, |
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78 1: 0.023, |
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79 2: 0.000, |
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80 3: 0.102, |
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81 4: 0.000, |
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82 5: 0.231, |
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83 6: 0.231, |
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84 7: 0.389, |
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85 8: 0.222, |
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86 9: 0.000, |
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87 } |
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88 for n in sorted(G): |
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89 assert almost_equal(c[n], d[n], places=3) |
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90 |
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91 def test_florentine_families_load(self): |
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92 G = self.F |
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93 c = nx.load_centrality(G) |
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94 d = { |
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95 "Acciaiuoli": 0.000, |
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96 "Albizzi": 0.211, |
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97 "Barbadori": 0.093, |
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98 "Bischeri": 0.104, |
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99 "Castellani": 0.055, |
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100 "Ginori": 0.000, |
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101 "Guadagni": 0.251, |
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102 "Lamberteschi": 0.000, |
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103 "Medici": 0.522, |
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104 "Pazzi": 0.000, |
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105 "Peruzzi": 0.022, |
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106 "Ridolfi": 0.117, |
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107 "Salviati": 0.143, |
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108 "Strozzi": 0.106, |
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109 "Tornabuoni": 0.090, |
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110 } |
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111 for n in sorted(G): |
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112 assert almost_equal(c[n], d[n], places=3) |
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113 |
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114 def test_les_miserables_load(self): |
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115 G = self.LM |
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116 c = nx.load_centrality(G) |
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117 d = { |
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118 "Napoleon": 0.000, |
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119 "Myriel": 0.177, |
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120 "MlleBaptistine": 0.000, |
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121 "MmeMagloire": 0.000, |
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122 "CountessDeLo": 0.000, |
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123 "Geborand": 0.000, |
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124 "Champtercier": 0.000, |
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125 "Cravatte": 0.000, |
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126 "Count": 0.000, |
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127 "OldMan": 0.000, |
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128 "Valjean": 0.567, |
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129 "Labarre": 0.000, |
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130 "Marguerite": 0.000, |
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131 "MmeDeR": 0.000, |
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132 "Isabeau": 0.000, |
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133 "Gervais": 0.000, |
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134 "Listolier": 0.000, |
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135 "Tholomyes": 0.043, |
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136 "Fameuil": 0.000, |
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137 "Blacheville": 0.000, |
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138 "Favourite": 0.000, |
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139 "Dahlia": 0.000, |
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140 "Zephine": 0.000, |
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141 "Fantine": 0.128, |
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142 "MmeThenardier": 0.029, |
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143 "Thenardier": 0.075, |
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144 "Cosette": 0.024, |
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145 "Javert": 0.054, |
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146 "Fauchelevent": 0.026, |
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147 "Bamatabois": 0.008, |
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148 "Perpetue": 0.000, |
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149 "Simplice": 0.009, |
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150 "Scaufflaire": 0.000, |
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151 "Woman1": 0.000, |
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152 "Judge": 0.000, |
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153 "Champmathieu": 0.000, |
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154 "Brevet": 0.000, |
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155 "Chenildieu": 0.000, |
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156 "Cochepaille": 0.000, |
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157 "Pontmercy": 0.007, |
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158 "Boulatruelle": 0.000, |
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159 "Eponine": 0.012, |
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160 "Anzelma": 0.000, |
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161 "Woman2": 0.000, |
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162 "MotherInnocent": 0.000, |
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163 "Gribier": 0.000, |
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164 "MmeBurgon": 0.026, |
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165 "Jondrette": 0.000, |
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166 "Gavroche": 0.164, |
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167 "Gillenormand": 0.021, |
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168 "Magnon": 0.000, |
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169 "MlleGillenormand": 0.047, |
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170 "MmePontmercy": 0.000, |
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171 "MlleVaubois": 0.000, |
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172 "LtGillenormand": 0.000, |
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173 "Marius": 0.133, |
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174 "BaronessT": 0.000, |
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175 "Mabeuf": 0.028, |
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176 "Enjolras": 0.041, |
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177 "Combeferre": 0.001, |
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178 "Prouvaire": 0.000, |
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179 "Feuilly": 0.001, |
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180 "Courfeyrac": 0.006, |
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181 "Bahorel": 0.002, |
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182 "Bossuet": 0.032, |
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183 "Joly": 0.002, |
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184 "Grantaire": 0.000, |
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185 "MotherPlutarch": 0.000, |
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186 "Gueulemer": 0.005, |
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187 "Babet": 0.005, |
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188 "Claquesous": 0.005, |
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189 "Montparnasse": 0.004, |
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190 "Toussaint": 0.000, |
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191 "Child1": 0.000, |
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192 "Child2": 0.000, |
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193 "Brujon": 0.000, |
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194 "MmeHucheloup": 0.000, |
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195 } |
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196 for n in sorted(G): |
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197 assert almost_equal(c[n], d[n], places=3) |
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198 |
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199 def test_unnormalized_k5_load(self): |
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200 G = self.K5 |
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201 c = nx.load_centrality(G, normalized=False) |
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202 d = {0: 0.000, 1: 0.000, 2: 0.000, 3: 0.000, 4: 0.000} |
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203 for n in sorted(G): |
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204 assert almost_equal(c[n], d[n], places=3) |
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205 |
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206 def test_unnormalized_p3_load(self): |
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207 G = self.P3 |
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208 c = nx.load_centrality(G, normalized=False) |
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209 d = {0: 0.000, 1: 2.000, 2: 0.000} |
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210 for n in sorted(G): |
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211 assert almost_equal(c[n], d[n], places=3) |
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212 |
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213 def test_unnormalized_krackhardt_load(self): |
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214 G = self.K |
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215 c = nx.load_centrality(G, normalized=False) |
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216 d = { |
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217 0: 1.667, |
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218 1: 1.667, |
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219 2: 0.000, |
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220 3: 7.333, |
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221 4: 0.000, |
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222 5: 16.667, |
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223 6: 16.667, |
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224 7: 28.000, |
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225 8: 16.000, |
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226 9: 0.000, |
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227 } |
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228 |
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229 for n in sorted(G): |
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230 assert almost_equal(c[n], d[n], places=3) |
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231 |
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232 def test_unnormalized_florentine_families_load(self): |
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233 G = self.F |
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234 c = nx.load_centrality(G, normalized=False) |
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235 |
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236 d = { |
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237 "Acciaiuoli": 0.000, |
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238 "Albizzi": 38.333, |
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239 "Barbadori": 17.000, |
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240 "Bischeri": 19.000, |
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241 "Castellani": 10.000, |
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242 "Ginori": 0.000, |
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243 "Guadagni": 45.667, |
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244 "Lamberteschi": 0.000, |
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245 "Medici": 95.000, |
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246 "Pazzi": 0.000, |
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247 "Peruzzi": 4.000, |
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248 "Ridolfi": 21.333, |
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249 "Salviati": 26.000, |
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250 "Strozzi": 19.333, |
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251 "Tornabuoni": 16.333, |
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252 } |
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253 for n in sorted(G): |
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254 assert almost_equal(c[n], d[n], places=3) |
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255 |
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256 def test_load_betweenness_difference(self): |
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257 # Difference Between Load and Betweenness |
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258 # --------------------------------------- The smallest graph |
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259 # that shows the difference between load and betweenness is |
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260 # G=ladder_graph(3) (Graph B below) |
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261 |
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262 # Graph A and B are from Tao Zhou, Jian-Guo Liu, Bing-Hong |
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263 # Wang: Comment on "Scientific collaboration |
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264 # networks. II. Shortest paths, weighted networks, and |
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265 # centrality". https://arxiv.org/pdf/physics/0511084 |
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266 |
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267 # Notice that unlike here, their calculation adds to 1 to the |
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268 # betweennes of every node i for every path from i to every |
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269 # other node. This is exactly what it should be, based on |
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270 # Eqn. (1) in their paper: the eqn is B(v) = \sum_{s\neq t, |
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271 # s\neq v}{\frac{\sigma_{st}(v)}{\sigma_{st}}}, therefore, |
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272 # they allow v to be the target node. |
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273 |
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274 # We follow Brandes 2001, who follows Freeman 1977 that make |
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275 # the sum for betweenness of v exclude paths where v is either |
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276 # the source or target node. To agree with their numbers, we |
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277 # must additionally, remove edge (4,8) from the graph, see AC |
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278 # example following (there is a mistake in the figure in their |
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279 # paper - personal communication). |
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280 |
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281 # A = nx.Graph() |
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282 # A.add_edges_from([(0,1), (1,2), (1,3), (2,4), |
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283 # (3,5), (4,6), (4,7), (4,8), |
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284 # (5,8), (6,9), (7,9), (8,9)]) |
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285 B = nx.Graph() # ladder_graph(3) |
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286 B.add_edges_from([(0, 1), (0, 2), (1, 3), (2, 3), (2, 4), (4, 5), (3, 5)]) |
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287 c = nx.load_centrality(B, normalized=False) |
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288 d = {0: 1.750, 1: 1.750, 2: 6.500, 3: 6.500, 4: 1.750, 5: 1.750} |
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289 for n in sorted(B): |
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290 assert almost_equal(c[n], d[n], places=3) |
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291 |
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292 def test_c4_edge_load(self): |
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293 G = self.C4 |
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294 c = nx.edge_load_centrality(G) |
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295 d = {(0, 1): 6.000, (0, 3): 6.000, (1, 2): 6.000, (2, 3): 6.000} |
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296 for n in G.edges(): |
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297 assert almost_equal(c[n], d[n], places=3) |
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298 |
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299 def test_p4_edge_load(self): |
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300 G = self.P4 |
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301 c = nx.edge_load_centrality(G) |
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302 d = {(0, 1): 6.000, (1, 2): 8.000, (2, 3): 6.000} |
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303 for n in G.edges(): |
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304 assert almost_equal(c[n], d[n], places=3) |
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305 |
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306 def test_k5_edge_load(self): |
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307 G = self.K5 |
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308 c = nx.edge_load_centrality(G) |
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309 d = { |
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310 (0, 1): 5.000, |
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311 (0, 2): 5.000, |
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312 (0, 3): 5.000, |
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313 (0, 4): 5.000, |
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314 (1, 2): 5.000, |
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315 (1, 3): 5.000, |
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316 (1, 4): 5.000, |
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317 (2, 3): 5.000, |
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318 (2, 4): 5.000, |
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319 (3, 4): 5.000, |
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320 } |
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321 for n in G.edges(): |
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322 assert almost_equal(c[n], d[n], places=3) |
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323 |
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324 def test_tree_edge_load(self): |
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325 G = self.T |
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326 c = nx.edge_load_centrality(G) |
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327 d = { |
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328 (0, 1): 24.000, |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
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329 (0, 2): 24.000, |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
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330 (1, 3): 12.000, |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
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331 (1, 4): 12.000, |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
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332 (2, 5): 12.000, |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
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333 (2, 6): 12.000, |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
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334 } |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
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335 for n in G.edges(): |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
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336 assert almost_equal(c[n], d[n], places=3) |