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arxiv: 1501.00212 · v1 · pith:TCGHFX7Bnew · submitted 2014-12-31 · 💻 cs.DS

Set-merging for the Matching Algorithm of Micali and Vazirani

classification 💻 cs.DS
keywords algorithmcitematchingset-merginggabtarmicalivaziraniapplication
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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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