An independent set degree condition for fractional critical deleted graphs

Let i (Equeation Presented) and (Equeation Presented), 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 max (Equeation Presented) for any independent subset {x1, x2, ⋯ x i } ⊆ V (G). The result is tight on independent set degree condition.