A result on fractional ID-[a, b]-factor-critical graphs.

Sizhong Zhou, Jie Wu, Quanru Pan · Australas. J Comb. · 2014

A graphG is fractional ID-[a, b]-factor-critical ifG−I includes a fractional [a, b]-factor for every independent set I of G. In this paper, it is proved that if α(G) ≤ 4b(δ(G)−a+1) (a+1)2+4b , then G is fractional ID-[a, b]-factor-critical. Furthermore, it is shown that the result is best possible in some sense.

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