孤立韧度与分数(g,f,n')-临界消去图

Isolated Toughness and Fractional ( g,f,n')-Critical Deleted Graph

利用分数(g,f,n')-临界消去图的充要条件,借助最小反例构造的技巧,给出分数(g,f,n')-临界消去图的孤立韧度条件.指出在δ(G)≥bn'/a+(b+1)2/4a+b且I(G)>{b2+bn'-1/a,若b>a,b+n',若a=b.的条件下,G是分数(g,f,n')-临界消去图.

Determine the isolated toughness bound for fractional （g,f,n′）-critical deleted graph in terms of the necessary and sufficient conditions of fractional （g,f,n′）-critical deleted graph and the technology of minimal counterexample construction.It is presented that a graph is fractional （g,f,n′）-critical deleted ifδ（G）≥ bn′a ＋（b＋1 ）24a ＋b and I（G）〉 b2 ＋bn′-1a ,if b〉a,b＋n′, if a={ b.