On perfect k-matchings

Details On perfect k-matchings On perfect k-matchings

2010-08-25

arxiv.org/abs/1008.4265v1

Mathematics

Combinatorics

Scientific paper

In this paper, we generalize the notions of perfect matchings, perfect 2-matchings to perfect k-matchings and give a necessary and sufficient condition for existence of perfect k-matchings. For bipartite graphs, we show that this k-matching problem is equivalent to that matching question. Moreover, for regular graphs, we provide a sufficient condition of perfect k-matching in terms of edge connectivity.

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