k-Bipartite Matching Extendibility of Harary Graph

Yu Fen Yang · Luoyang Shifan Xueyuan xuebao · 2011

Let G be a simple connected graph containing a perfect matching.G is said to be k-bipartite matching extendable,if every bipartite matching M of G with |M|≤k is included in a perfect matching of G,where 1≤k≤(V(G)-2)2.This paper demonstrates that: For any positive integern,if r(r4) is even number,then Hr,2n is 2-bipartite matching extendable.

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