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Set-merging for the Matching Algorithm of Micali and Vazirani

Published 31 Dec 2014 in cs.DS | (1501.00212v1)

Abstract: The algorithm of Micali and Vazirani \cite{MV} finds a maximum cardinality matching in time $O(\sqrt n m)$ if an efficient set-merging algorithm is used. The latter is provided by the incremental-tree set-merging algorithm of \cite{GabTar}. Details of this application to matching were omitted from \cite{GabTar} and are presented in this note.

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