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authorS. Solomon Darnell2025-03-28 21:52:21 -0500
committerS. Solomon Darnell2025-03-28 21:52:21 -0500
commit4a52a71956a8d46fcb7294ac71734504bb09bcc2 (patch)
treeee3dc5af3b6313e921cd920906356f5d4febc4ed /.venv/lib/python3.12/site-packages/networkx/algorithms/tests/test_clique.py
parentcc961e04ba734dd72309fb548a2f97d67d578813 (diff)
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+import pytest
+
+import networkx as nx
+from networkx import convert_node_labels_to_integers as cnlti
+
+
+class TestCliques:
+    def setup_method(self):
+        z = [3, 4, 3, 4, 2, 4, 2, 1, 1, 1, 1]
+        self.G = cnlti(nx.generators.havel_hakimi_graph(z), first_label=1)
+        self.cl = list(nx.find_cliques(self.G))
+        H = nx.complete_graph(6)
+        H = nx.relabel_nodes(H, {i: i + 1 for i in range(6)})
+        H.remove_edges_from([(2, 6), (2, 5), (2, 4), (1, 3), (5, 3)])
+        self.H = H
+
+    def test_find_cliques1(self):
+        cl = list(nx.find_cliques(self.G))
+        rcl = nx.find_cliques_recursive(self.G)
+        expected = [[2, 6, 1, 3], [2, 6, 4], [5, 4, 7], [8, 9], [10, 11]]
+        assert sorted(map(sorted, cl)) == sorted(map(sorted, rcl))
+        assert sorted(map(sorted, cl)) == sorted(map(sorted, expected))
+
+    def test_selfloops(self):
+        self.G.add_edge(1, 1)
+        cl = list(nx.find_cliques(self.G))
+        rcl = list(nx.find_cliques_recursive(self.G))
+        assert set(map(frozenset, cl)) == set(map(frozenset, rcl))
+        answer = [{2, 6, 1, 3}, {2, 6, 4}, {5, 4, 7}, {8, 9}, {10, 11}]
+        assert len(answer) == len(cl)
+        assert all(set(c) in answer for c in cl)
+
+    def test_find_cliques2(self):
+        hcl = list(nx.find_cliques(self.H))
+        assert sorted(map(sorted, hcl)) == [[1, 2], [1, 4, 5, 6], [2, 3], [3, 4, 6]]
+
+    def test_find_cliques3(self):
+        # all cliques are [[2, 6, 1, 3], [2, 6, 4], [5, 4, 7], [8, 9], [10, 11]]
+
+        cl = list(nx.find_cliques(self.G, [2]))
+        rcl = nx.find_cliques_recursive(self.G, [2])
+        expected = [[2, 6, 1, 3], [2, 6, 4]]
+        assert sorted(map(sorted, rcl)) == sorted(map(sorted, expected))
+        assert sorted(map(sorted, cl)) == sorted(map(sorted, expected))
+
+        cl = list(nx.find_cliques(self.G, [2, 3]))
+        rcl = nx.find_cliques_recursive(self.G, [2, 3])
+        expected = [[2, 6, 1, 3]]
+        assert sorted(map(sorted, rcl)) == sorted(map(sorted, expected))
+        assert sorted(map(sorted, cl)) == sorted(map(sorted, expected))
+
+        cl = list(nx.find_cliques(self.G, [2, 6, 4]))
+        rcl = nx.find_cliques_recursive(self.G, [2, 6, 4])
+        expected = [[2, 6, 4]]
+        assert sorted(map(sorted, rcl)) == sorted(map(sorted, expected))
+        assert sorted(map(sorted, cl)) == sorted(map(sorted, expected))
+
+        cl = list(nx.find_cliques(self.G, [2, 6, 4]))
+        rcl = nx.find_cliques_recursive(self.G, [2, 6, 4])
+        expected = [[2, 6, 4]]
+        assert sorted(map(sorted, rcl)) == sorted(map(sorted, expected))
+        assert sorted(map(sorted, cl)) == sorted(map(sorted, expected))
+
+        with pytest.raises(ValueError):
+            list(nx.find_cliques(self.G, [2, 6, 4, 1]))
+
+        with pytest.raises(ValueError):
+            list(nx.find_cliques_recursive(self.G, [2, 6, 4, 1]))
+
+    def test_number_of_cliques(self):
+        G = self.G
+        assert nx.number_of_cliques(G, 1) == 1
+        assert list(nx.number_of_cliques(G, [1]).values()) == [1]
+        assert list(nx.number_of_cliques(G, [1, 2]).values()) == [1, 2]
+        assert nx.number_of_cliques(G, [1, 2]) == {1: 1, 2: 2}
+        assert nx.number_of_cliques(G, 2) == 2
+        assert nx.number_of_cliques(G) == {
+            1: 1,
+            2: 2,
+            3: 1,
+            4: 2,
+            5: 1,
+            6: 2,
+            7: 1,
+            8: 1,
+            9: 1,
+            10: 1,
+            11: 1,
+        }
+        assert nx.number_of_cliques(G, nodes=list(G)) == {
+            1: 1,
+            2: 2,
+            3: 1,
+            4: 2,
+            5: 1,
+            6: 2,
+            7: 1,
+            8: 1,
+            9: 1,
+            10: 1,
+            11: 1,
+        }
+        assert nx.number_of_cliques(G, nodes=[2, 3, 4]) == {2: 2, 3: 1, 4: 2}
+        assert nx.number_of_cliques(G, cliques=self.cl) == {
+            1: 1,
+            2: 2,
+            3: 1,
+            4: 2,
+            5: 1,
+            6: 2,
+            7: 1,
+            8: 1,
+            9: 1,
+            10: 1,
+            11: 1,
+        }
+        assert nx.number_of_cliques(G, list(G), cliques=self.cl) == {
+            1: 1,
+            2: 2,
+            3: 1,
+            4: 2,
+            5: 1,
+            6: 2,
+            7: 1,
+            8: 1,
+            9: 1,
+            10: 1,
+            11: 1,
+        }
+
+    def test_node_clique_number(self):
+        G = self.G
+        assert nx.node_clique_number(G, 1) == 4
+        assert list(nx.node_clique_number(G, [1]).values()) == [4]
+        assert list(nx.node_clique_number(G, [1, 2]).values()) == [4, 4]
+        assert nx.node_clique_number(G, [1, 2]) == {1: 4, 2: 4}
+        assert nx.node_clique_number(G, 1) == 4
+        assert nx.node_clique_number(G) == {
+            1: 4,
+            2: 4,
+            3: 4,
+            4: 3,
+            5: 3,
+            6: 4,
+            7: 3,
+            8: 2,
+            9: 2,
+            10: 2,
+            11: 2,
+        }
+        assert nx.node_clique_number(G, cliques=self.cl) == {
+            1: 4,
+            2: 4,
+            3: 4,
+            4: 3,
+            5: 3,
+            6: 4,
+            7: 3,
+            8: 2,
+            9: 2,
+            10: 2,
+            11: 2,
+        }
+        assert nx.node_clique_number(G, [1, 2], cliques=self.cl) == {1: 4, 2: 4}
+        assert nx.node_clique_number(G, 1, cliques=self.cl) == 4
+
+    def test_make_clique_bipartite(self):
+        G = self.G
+        B = nx.make_clique_bipartite(G)
+        assert sorted(B) == [-5, -4, -3, -2, -1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]
+        # Project onto the nodes of the original graph.
+        H = nx.projected_graph(B, range(1, 12))
+        assert H.adj == G.adj
+        # Project onto the nodes representing the cliques.
+        H1 = nx.projected_graph(B, range(-5, 0))
+        # Relabel the negative numbers as positive ones.
+        H1 = nx.relabel_nodes(H1, {-v: v for v in range(1, 6)})
+        assert sorted(H1) == [1, 2, 3, 4, 5]
+
+    def test_make_max_clique_graph(self):
+        """Tests that the maximal clique graph is the same as the bipartite
+        clique graph after being projected onto the nodes representing the
+        cliques.
+
+        """
+        G = self.G
+        B = nx.make_clique_bipartite(G)
+        # Project onto the nodes representing the cliques.
+        H1 = nx.projected_graph(B, range(-5, 0))
+        # Relabel the negative numbers as nonnegative ones, starting at
+        # 0.
+        H1 = nx.relabel_nodes(H1, {-v: v - 1 for v in range(1, 6)})
+        H2 = nx.make_max_clique_graph(G)
+        assert H1.adj == H2.adj
+
+    def test_directed(self):
+        with pytest.raises(nx.NetworkXNotImplemented):
+            next(nx.find_cliques(nx.DiGraph()))
+
+    def test_find_cliques_trivial(self):
+        G = nx.Graph()
+        assert sorted(nx.find_cliques(G)) == []
+        assert sorted(nx.find_cliques_recursive(G)) == []
+
+    def test_make_max_clique_graph_create_using(self):
+        G = nx.Graph([(1, 2), (3, 1), (4, 1), (5, 6)])
+        E = nx.Graph([(0, 1), (0, 2), (1, 2)])
+        E.add_node(3)
+        assert nx.is_isomorphic(nx.make_max_clique_graph(G, create_using=nx.Graph), E)
+
+
+class TestEnumerateAllCliques:
+    def test_paper_figure_4(self):
+        # Same graph as given in Fig. 4 of paper enumerate_all_cliques is
+        # based on.
+        # http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1559964&isnumber=33129
+        G = nx.Graph()
+        edges_fig_4 = [
+            ("a", "b"),
+            ("a", "c"),
+            ("a", "d"),
+            ("a", "e"),
+            ("b", "c"),
+            ("b", "d"),
+            ("b", "e"),
+            ("c", "d"),
+            ("c", "e"),
+            ("d", "e"),
+            ("f", "b"),
+            ("f", "c"),
+            ("f", "g"),
+            ("g", "f"),
+            ("g", "c"),
+            ("g", "d"),
+            ("g", "e"),
+        ]
+        G.add_edges_from(edges_fig_4)
+
+        cliques = list(nx.enumerate_all_cliques(G))
+        clique_sizes = list(map(len, cliques))
+        assert sorted(clique_sizes) == clique_sizes
+
+        expected_cliques = [
+            ["a"],
+            ["b"],
+            ["c"],
+            ["d"],
+            ["e"],
+            ["f"],
+            ["g"],
+            ["a", "b"],
+            ["a", "b", "d"],
+            ["a", "b", "d", "e"],
+            ["a", "b", "e"],
+            ["a", "c"],
+            ["a", "c", "d"],
+            ["a", "c", "d", "e"],
+            ["a", "c", "e"],
+            ["a", "d"],
+            ["a", "d", "e"],
+            ["a", "e"],
+            ["b", "c"],
+            ["b", "c", "d"],
+            ["b", "c", "d", "e"],
+            ["b", "c", "e"],
+            ["b", "c", "f"],
+            ["b", "d"],
+            ["b", "d", "e"],
+            ["b", "e"],
+            ["b", "f"],
+            ["c", "d"],
+            ["c", "d", "e"],
+            ["c", "d", "e", "g"],
+            ["c", "d", "g"],
+            ["c", "e"],
+            ["c", "e", "g"],
+            ["c", "f"],
+            ["c", "f", "g"],
+            ["c", "g"],
+            ["d", "e"],
+            ["d", "e", "g"],
+            ["d", "g"],
+            ["e", "g"],
+            ["f", "g"],
+            ["a", "b", "c"],
+            ["a", "b", "c", "d"],
+            ["a", "b", "c", "d", "e"],
+            ["a", "b", "c", "e"],
+        ]
+
+        assert sorted(map(sorted, cliques)) == sorted(map(sorted, expected_cliques))