On Topological Indices of Circumcoronene Series of Benzenoid

Abstract

Let G be a connected graph with vertex and edge sets V (G) and E(G), respectively. The first Zagreb index M1(G) was originally defined as the sum of the squares of the degrees of all vertices of G. Recently, we know a new version of the first Zagreb index as the Multiplicative Zagreb Eccentricity index that introduced by Nilanjan De and ε(u) is the largest distance between u and any other vertex v of G. In this paper we compute this new topological index of famous molecular graph “Circumcoronene Series of Benzenoid Hk".