An independent set degree condition for fractional critical deleted graphs

Let $i≥2$, $Δ≥0$, $1≤ a≤ b-Δ$, n>(a+b)(ib+2m-2)/a+n' and δ(G)≥b²a+n'+2m, and let $g,f$ be two integer-valued functions defined on $V(G)$ such that $a≤ g(x)≤ f(x)-Δ≤ b-Δ$ for each $x∈ V(G)$. In this article, it is determined that G is a fractional $(g,f,n',m)$-critical deleted graph if max₁,d₂,···,dᵢ\≥b(n+n')/a+b for any independent subset ₁,x₂,..., xᵢ\⊆ V(G). The result is tight on independent set degree condition.