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A Simplification of the MV Matching Algorithm and its Proof

Published 16 Oct 2012 in cs.DS | (1210.4594v5)

Abstract: For all practical purposes, the Micali-Vazirani general graph maximum matching algorithm is still the most efficient known algorithm for the problem. The purpose of this paper is to provide a complete proof of correctness of the algorithm in the simplest possible terms; graph-theoretic machinery developed for this purpose also helps simplify the algorithm.

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