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arXiv · 0708.1903

On Edge-Disjoint Pairs Of Matchings

V. V. Mkrtchyan·V. L. Musoyan·A. V. Tserunyan
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Abstract

For a graph G, consider the pairs of edge-disjoint matchings whose union consists of as many edges as possible. Let H be the largest matching among such pairs. Let M be a maximum matching of G. We show that 5/4 is a tight upper bound for |M|/|H|.

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V. V. Mkrtchyan, V. L. Musoyan, A. V. Tserunyan. 2007-08-14. On Edge-Disjoint Pairs Of Matchings. https://doi.org/10.1016/j.disc.2007.09.061

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