中文摘要：

设G是一个图,若去掉G中的任意n’个顶点的剩余子图仍是分数（f,m）-消去图,则称G是一个分数（f,n＇,m）-临界消去图.给出在a,b都是偶数的情况下分数（f,n＇,m）-临界消去图的两个联结数条件,并对条件的最好性进行了分析.

英文摘要：

A graph G called a fractional （f,n＇,m）-critical deleted graph,if after deleting any n＇ vertices of G the remaining graph is a fractional （f,m）-deleted graph.In this paper,two binding number conditions for fractional （f,n＇,m）-critical deleted graph are given when a,b are both even,and the sharpness of the results is discussed.