Hopcroft–Karp algorithm (Bipartite Graph MCM Maximum Cardinality Matching)

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Time Complexity

$O((V^{0.5})$E)

Space Complexity

$O(V)$ words

(maximal set of vertex-disjoint shortest augmenting paths uses O(V) space to store, taking symmetric difference also uses O(V) space)

Description

Approximate?

Exact

Randomized?

No, deterministic

Model of Computation

Word RAM

Year

1973

Reference

https://epubs.siam.org/doi/10.1137/0202019

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