Notes on factor-criticality, extendibility and independence number

Abstract

In this paper, we give a sufficient and necessary condition for a $k$-extendable graph to be $2k$-factor-critical when $k=\nu /4$, and prove some results on independence numbers in $n$-factor-critical graphs and $k\frac{1}{2}$-extendable graphs.

This paper has been published on Ars Combinatoria