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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_covering.py
parentcc961e04ba734dd72309fb548a2f97d67d578813 (diff)
downloadgn-ai-master.tar.gz
two version of R2R are hereHEADmaster
Diffstat (limited to '.venv/lib/python3.12/site-packages/networkx/algorithms/tests/test_covering.py')
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+import pytest
+
+import networkx as nx
+
+
+class TestMinEdgeCover:
+ """Tests for :func:`networkx.algorithms.min_edge_cover`"""
+
+ def test_empty_graph(self):
+ G = nx.Graph()
+ assert nx.min_edge_cover(G) == set()
+
+ def test_graph_with_loop(self):
+ G = nx.Graph()
+ G.add_edge(0, 0)
+ assert nx.min_edge_cover(G) == {(0, 0)}
+
+ def test_graph_with_isolated_v(self):
+ G = nx.Graph()
+ G.add_node(1)
+ with pytest.raises(
+ nx.NetworkXException,
+ match="Graph has a node with no edge incident on it, so no edge cover exists.",
+ ):
+ nx.min_edge_cover(G)
+
+ def test_graph_single_edge(self):
+ G = nx.Graph([(0, 1)])
+ assert nx.min_edge_cover(G) in ({(0, 1)}, {(1, 0)})
+
+ def test_graph_two_edge_path(self):
+ G = nx.path_graph(3)
+ min_cover = nx.min_edge_cover(G)
+ assert len(min_cover) == 2
+ for u, v in G.edges:
+ assert (u, v) in min_cover or (v, u) in min_cover
+
+ def test_bipartite_explicit(self):
+ G = nx.Graph()
+ G.add_nodes_from([1, 2, 3, 4], bipartite=0)
+ G.add_nodes_from(["a", "b", "c"], bipartite=1)
+ G.add_edges_from([(1, "a"), (1, "b"), (2, "b"), (2, "c"), (3, "c"), (4, "a")])
+ # Use bipartite method by prescribing the algorithm
+ min_cover = nx.min_edge_cover(
+ G, nx.algorithms.bipartite.matching.eppstein_matching
+ )
+ assert nx.is_edge_cover(G, min_cover)
+ assert len(min_cover) == 8
+ # Use the default method which is not specialized for bipartite
+ min_cover2 = nx.min_edge_cover(G)
+ assert nx.is_edge_cover(G, min_cover2)
+ assert len(min_cover2) == 4
+
+ def test_complete_graph_even(self):
+ G = nx.complete_graph(10)
+ min_cover = nx.min_edge_cover(G)
+ assert nx.is_edge_cover(G, min_cover)
+ assert len(min_cover) == 5
+
+ def test_complete_graph_odd(self):
+ G = nx.complete_graph(11)
+ min_cover = nx.min_edge_cover(G)
+ assert nx.is_edge_cover(G, min_cover)
+ assert len(min_cover) == 6
+
+
+class TestIsEdgeCover:
+ """Tests for :func:`networkx.algorithms.is_edge_cover`"""
+
+ def test_empty_graph(self):
+ G = nx.Graph()
+ assert nx.is_edge_cover(G, set())
+
+ def test_graph_with_loop(self):
+ G = nx.Graph()
+ G.add_edge(1, 1)
+ assert nx.is_edge_cover(G, {(1, 1)})
+
+ def test_graph_single_edge(self):
+ G = nx.Graph()
+ G.add_edge(0, 1)
+ assert nx.is_edge_cover(G, {(0, 0), (1, 1)})
+ assert nx.is_edge_cover(G, {(0, 1), (1, 0)})
+ assert nx.is_edge_cover(G, {(0, 1)})
+ assert not nx.is_edge_cover(G, {(0, 0)})