on topological indices of circumcoronene series of benzenoid

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”.