On the variable sum exdeg index and cut edges of graphs.

The variable sum exdeg index of a graph G is defined as SEIa(G) = u2V (G) dG(u)adG(u), where a 6= 1 is a positive real number, dG(u) is the degree of a vertex u 2 V (G). In this paper, we characterize the graphs with the extremum variable sum exdeg index among all the graphs having a fixed number of vertices and cut edges, for every a > 1. [ABSTRACT FROM AUTHOR]