Binding number and minimum degree for k‐factors

Norihide Tokushige · Journal of Graph Theory · 1989

Abstract In this paper, we study mixed conditions on the binding number and the minimum degree of a graph G that guarantee the existence of a k‐factor in G. Among others, we prove that a graph G of order n with δ(G) ⩾ cn and bind(G) > (2 − 3c)/(1 − c), where c is any fixed number, has a 2‐factor.

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