Binding Number and Fractional $(g,f,n^{\prime },m)$-Critical Deleted Graph

Abstract

A graph $G$ is called a fractional $(g,f,n^{\prime },m)$-critical deleted graph if after deleting any $n^{\prime }$ vertices of $G$ the remaining graph is a fractional $(g,f,m)$-deleted graph. In this paper, we give two binding number conditions for a graph to be a fractional $(g,f,n^{\prime },m)$-critical deleted graph.