Set-merging for the Matching Algorithm of Micali and Vazirani

preprint2014arXivOpen access

Abstract

The algorithm of Micali and Vazirani \cite{MV} finds a maximum cardinality matching in time O(nm)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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