摘要

Let G be a graph of order n. Let a, b and k be nonnegative integers such that 1 <= a <= b. A graph G is called an (a, b, k)-critical graph if after deleting any k vertices of G the remaining graph of G has an [a, b]-factor. We provide a sufficient condition for a graph to be (a, b, k)-critical that extends a well-known sufficient condition for the existence of a k-factor.