Mercurial > repos > shellac > sam_consensus_v3
annotate env/lib/python3.9/site-packages/networkx/algorithms/tests/test_clique.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 import pytest |
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2 import networkx as nx |
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3 from networkx import convert_node_labels_to_integers as cnlti |
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4 |
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5 |
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6 class TestCliques: |
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7 def setup_method(self): |
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8 z = [3, 4, 3, 4, 2, 4, 2, 1, 1, 1, 1] |
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9 self.G = cnlti(nx.generators.havel_hakimi_graph(z), first_label=1) |
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10 self.cl = list(nx.find_cliques(self.G)) |
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11 H = nx.complete_graph(6) |
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12 H = nx.relabel_nodes(H, {i: i + 1 for i in range(6)}) |
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13 H.remove_edges_from([(2, 6), (2, 5), (2, 4), (1, 3), (5, 3)]) |
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14 self.H = H |
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15 |
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16 def test_find_cliques1(self): |
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17 cl = list(nx.find_cliques(self.G)) |
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18 rcl = nx.find_cliques_recursive(self.G) |
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19 expected = [[2, 6, 1, 3], [2, 6, 4], [5, 4, 7], [8, 9], [10, 11]] |
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20 assert sorted(map(sorted, cl)) == sorted(map(sorted, rcl)) |
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21 assert sorted(map(sorted, cl)) == sorted(map(sorted, expected)) |
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22 |
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23 def test_selfloops(self): |
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24 self.G.add_edge(1, 1) |
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25 cl = list(nx.find_cliques(self.G)) |
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26 rcl = list(nx.find_cliques_recursive(self.G)) |
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27 assert set(map(frozenset, cl)) == set(map(frozenset, rcl)) |
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28 answer = [{2, 6, 1, 3}, {2, 6, 4}, {5, 4, 7}, {8, 9}, {10, 11}] |
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29 assert len(answer) == len(cl) |
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30 assert all(set(c) in answer for c in cl) |
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31 |
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32 def test_find_cliques2(self): |
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33 hcl = list(nx.find_cliques(self.H)) |
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34 assert sorted(map(sorted, hcl)) == [[1, 2], [1, 4, 5, 6], [2, 3], [3, 4, 6]] |
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35 |
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36 def test_clique_number(self): |
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37 G = self.G |
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38 assert nx.graph_clique_number(G) == 4 |
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39 assert nx.graph_clique_number(G, cliques=self.cl) == 4 |
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40 |
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41 def test_clique_number2(self): |
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42 G = nx.Graph() |
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43 G.add_nodes_from([1, 2, 3]) |
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44 assert nx.graph_clique_number(G) == 1 |
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45 |
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46 def test_clique_number3(self): |
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47 G = nx.Graph() |
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48 assert nx.graph_clique_number(G) == 0 |
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49 |
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50 def test_number_of_cliques(self): |
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51 G = self.G |
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52 assert nx.graph_number_of_cliques(G) == 5 |
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53 assert nx.graph_number_of_cliques(G, cliques=self.cl) == 5 |
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54 assert nx.number_of_cliques(G, 1) == 1 |
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55 assert list(nx.number_of_cliques(G, [1]).values()) == [1] |
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56 assert list(nx.number_of_cliques(G, [1, 2]).values()) == [1, 2] |
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57 assert nx.number_of_cliques(G, [1, 2]) == {1: 1, 2: 2} |
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58 assert nx.number_of_cliques(G, 2) == 2 |
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59 assert nx.number_of_cliques(G) == { |
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71 } |
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72 assert nx.number_of_cliques(G, nodes=list(G)) == { |
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84 } |
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85 assert nx.number_of_cliques(G, nodes=[2, 3, 4]) == {2: 2, 3: 1, 4: 2} |
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86 assert nx.number_of_cliques(G, cliques=self.cl) == { |
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98 } |
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99 assert nx.number_of_cliques(G, list(G), cliques=self.cl) == { |
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109 10: 1, |
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110 11: 1, |
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111 } |
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112 |
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113 def test_node_clique_number(self): |
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114 G = self.G |
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115 assert nx.node_clique_number(G, 1) == 4 |
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116 assert list(nx.node_clique_number(G, [1]).values()) == [4] |
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117 assert list(nx.node_clique_number(G, [1, 2]).values()) == [4, 4] |
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118 assert nx.node_clique_number(G, [1, 2]) == {1: 4, 2: 4} |
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119 assert nx.node_clique_number(G, 1) == 4 |
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120 assert nx.node_clique_number(G) == { |
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121 1: 4, |
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122 2: 4, |
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123 3: 4, |
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124 4: 3, |
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125 5: 3, |
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126 6: 4, |
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127 7: 3, |
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128 8: 2, |
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129 9: 2, |
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130 10: 2, |
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131 11: 2, |
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132 } |
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133 assert nx.node_clique_number(G, cliques=self.cl) == { |
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134 1: 4, |
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135 2: 4, |
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136 3: 4, |
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137 4: 3, |
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138 5: 3, |
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139 6: 4, |
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140 7: 3, |
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141 8: 2, |
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142 9: 2, |
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143 10: 2, |
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144 11: 2, |
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145 } |
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146 |
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147 def test_cliques_containing_node(self): |
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148 G = self.G |
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149 assert nx.cliques_containing_node(G, 1) == [[2, 6, 1, 3]] |
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150 assert list(nx.cliques_containing_node(G, [1]).values()) == [[[2, 6, 1, 3]]] |
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151 assert [ |
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152 sorted(c) for c in list(nx.cliques_containing_node(G, [1, 2]).values()) |
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153 ] == [[[2, 6, 1, 3]], [[2, 6, 1, 3], [2, 6, 4]]] |
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154 result = nx.cliques_containing_node(G, [1, 2]) |
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155 for k, v in result.items(): |
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156 result[k] = sorted(v) |
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157 assert result == {1: [[2, 6, 1, 3]], 2: [[2, 6, 1, 3], [2, 6, 4]]} |
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158 assert nx.cliques_containing_node(G, 1) == [[2, 6, 1, 3]] |
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159 expected = [{2, 6, 1, 3}, {2, 6, 4}] |
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160 answer = [set(c) for c in nx.cliques_containing_node(G, 2)] |
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161 assert answer in (expected, list(reversed(expected))) |
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162 |
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163 answer = [set(c) for c in nx.cliques_containing_node(G, 2, cliques=self.cl)] |
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164 assert answer in (expected, list(reversed(expected))) |
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165 assert len(nx.cliques_containing_node(G)) == 11 |
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166 |
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167 def test_make_clique_bipartite(self): |
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168 G = self.G |
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169 B = nx.make_clique_bipartite(G) |
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170 assert sorted(B) == [-5, -4, -3, -2, -1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11] |
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171 # Project onto the nodes of the original graph. |
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172 H = nx.project(B, range(1, 12)) |
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173 assert H.adj == G.adj |
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174 # Project onto the nodes representing the cliques. |
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175 H1 = nx.project(B, range(-5, 0)) |
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176 # Relabel the negative numbers as positive ones. |
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177 H1 = nx.relabel_nodes(H1, {-v: v for v in range(1, 6)}) |
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178 assert sorted(H1) == [1, 2, 3, 4, 5] |
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179 |
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180 def test_make_max_clique_graph(self): |
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181 """Tests that the maximal clique graph is the same as the bipartite |
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182 clique graph after being projected onto the nodes representing the |
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183 cliques. |
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184 |
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185 """ |
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186 G = self.G |
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187 B = nx.make_clique_bipartite(G) |
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188 # Project onto the nodes representing the cliques. |
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189 H1 = nx.project(B, range(-5, 0)) |
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190 # Relabel the negative numbers as nonnegative ones, starting at |
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191 # 0. |
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192 H1 = nx.relabel_nodes(H1, {-v: v - 1 for v in range(1, 6)}) |
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193 H2 = nx.make_max_clique_graph(G) |
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194 assert H1.adj == H2.adj |
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195 |
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196 def test_directed(self): |
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197 with pytest.raises(nx.NetworkXNotImplemented): |
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198 cliques = nx.find_cliques(nx.DiGraph()) |
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199 |
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200 |
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201 class TestEnumerateAllCliques: |
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202 def test_paper_figure_4(self): |
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203 # Same graph as given in Fig. 4 of paper enumerate_all_cliques is |
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204 # based on. |
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205 # http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1559964&isnumber=33129 |
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206 G = nx.Graph() |
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207 edges_fig_4 = [ |
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208 ("a", "b"), |
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209 ("a", "c"), |
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210 ("a", "d"), |
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211 ("a", "e"), |
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212 ("b", "c"), |
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213 ("b", "d"), |
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214 ("b", "e"), |
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215 ("c", "d"), |
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216 ("c", "e"), |
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217 ("d", "e"), |
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218 ("f", "b"), |
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219 ("f", "c"), |
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220 ("f", "g"), |
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221 ("g", "f"), |
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222 ("g", "c"), |
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223 ("g", "d"), |
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224 ("g", "e"), |
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225 ] |
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226 G.add_edges_from(edges_fig_4) |
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227 |
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228 cliques = list(nx.enumerate_all_cliques(G)) |
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229 clique_sizes = list(map(len, cliques)) |
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230 assert sorted(clique_sizes) == clique_sizes |
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231 |
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232 expected_cliques = [ |
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233 ["a"], |
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234 ["b"], |
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235 ["c"], |
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236 ["d"], |
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237 ["e"], |
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238 ["f"], |
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239 ["g"], |
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240 ["a", "b"], |
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241 ["a", "b", "d"], |
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242 ["a", "b", "d", "e"], |
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243 ["a", "b", "e"], |
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244 ["a", "c"], |
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245 ["a", "c", "d"], |
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246 ["a", "c", "d", "e"], |
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247 ["a", "c", "e"], |
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248 ["a", "d"], |
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249 ["a", "d", "e"], |
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250 ["a", "e"], |
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251 ["b", "c"], |
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252 ["b", "c", "d"], |
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253 ["b", "c", "d", "e"], |
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254 ["b", "c", "e"], |
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255 ["b", "c", "f"], |
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256 ["b", "d"], |
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257 ["b", "d", "e"], |
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258 ["b", "e"], |
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259 ["b", "f"], |
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260 ["c", "d"], |
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261 ["c", "d", "e"], |
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262 ["c", "d", "e", "g"], |
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263 ["c", "d", "g"], |
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264 ["c", "e"], |
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265 ["c", "e", "g"], |
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266 ["c", "f"], |
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267 ["c", "f", "g"], |
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268 ["c", "g"], |
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269 ["d", "e"], |
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270 ["d", "e", "g"], |
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271 ["d", "g"], |
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272 ["e", "g"], |
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273 ["f", "g"], |
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274 ["a", "b", "c"], |
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275 ["a", "b", "c", "d"], |
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276 ["a", "b", "c", "d", "e"], |
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277 ["a", "b", "c", "e"], |
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278 ] |
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279 |
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280 assert sorted(map(sorted, cliques)) == sorted(map(sorted, expected_cliques)) |