As an extension of the factor, the fractional factor allows each edge to give a real number in the range of 0 to 1, and degree of fraction of each vertex to be controlled within a certain range (determined by the values of functions g and f, corresponding to the upper and lower fractional degree boundary). The score factor has a wide range of applications in communication networks, and the score critical deleted graph can be used to measure the feasibility of transmission when the network is damaged at a certain moment. In this short note, we mainly present some extended binding number conclusions on fractional (g, f, n, m)­critical deleted graphs.

Graph, Binding number, Fractional factor, Fractional (g, f, n, m)-critical deleted graph