NEIGHBOURHOODS OF INDEPENDENT SETS FOR (a,b,k)-CRITICAL GRAPHS

Author:

ZHOU SIZHONG,XU YANG

Abstract

AbstractLet G be a graph of order n. Let a, b and k be nonnegative integers such that 1≤ab. 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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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1. A sufficient condition for graphs to be fractional (k,m)-deleted graphs;Applied Mathematics Letters;2011-09

2. Toughness and -critical graphs;Information Processing Letters;2011-04

3. NEIGHBOURHOOD AND THE EXISTENCE OF FRACTIONAL k-FACTORS OF GRAPHS;Bulletin of the Australian Mathematical Society;2010-01-13

4. Independence number, connectivity and (a,b,k)-critical graphs;Discrete Mathematics;2009-06

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