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31 lines
710 B
Python
31 lines
710 B
Python
def max_matching(graph):
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n1 = len(graph)
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n2 = 0 if n1 == 0 else len(graph[0])
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matching = [-1] * n2
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matches = 0
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for u in range(n1):
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if find_path(graph, u, matching, [False] * n1):
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matches += 1
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return matches
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def find_path(graph, u1, matching, vis):
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vis[u1] = True
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for v in range(len(matching)):
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u2 = matching[v]
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if graph[u1][v] and (u2 == -1 or not vis[u2] and find_path(graph, u2, matching, vis)):
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matching[v] = u1
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return True
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return False
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def test():
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graph = [[False] * 2 for _ in range(2)]
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graph[0][1] = True
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graph[1][0] = True
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graph[1][1] = True
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assert 2 == max_matching(graph)
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test()
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