hopcroft_karp_matching¶
- hopcroft_karp_matching(G)[source]¶
Returns the maximum cardinality matching of the bipartite graph
.
Parameters: G (NetworkX graph) – Undirected bipartite graph Returns: matches – The matching is returned as a dictionary,
, such that matches[v] == w if node v is matched to node w. Unmatched nodes do not occur as a key in mate.
Return type: dictionary Notes
This function is implemented with the Hopcroft–Karp matching algorithm for bipartite graphs.
See also
References
[1] John E. Hopcroft and Richard M. Karp. “An n^{5 / 2} Algorithm for Maximum Matchings in Bipartite Graphs” In: SIAM Journal of Computing 2.4 (1973), pp. 225–231. <https://dx.doi.org/10.1137/0202019>.