Isolated Toughness and Fractional(k,n′)-Critical Deleted Graph

Wei Dong Gao · Journal of Gansu Lianhe University · 2012

Combining the concept of fractional critical graph and fractional deleted graph,fractional critical deleted graph was defined.The necessary and sufficient conditions for fractional(g,f,n′,m)-critical deleted graph and some corollaries are given.It was also proved that if I(G)k(n′+1) and δ(G)≥k(n′+1)+1,G is a fractional(k,n′)-critical deleted graph.

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