Computing zagreb indices and zagreb polynomials of fullerene, butterfly and benes networks

Abstract

A topological index is a numerical parameter of a graph which characterizes some of the topological properties of the graph. The concepts of hyper-Zagreb index, first multiple Zagreb index, second multiple Zagreb index and relatedly the Zagreb polynomials were established in chemical graph theory by means of the vertex degrees. It is reported that these indices are useful in the study of anti-inflammatory activities of certain chemical networks. In this paper, we study fullerene, butterfly, Benes networks and determine the hyper- Zagreb index, first multiple Zagreb index, second multiple Zagreb index and the Zagreb polynomials of them.