Comparing the multiplicative Zagreb indices

Abstract

Let G = (V, E) be a simple graph with n = |V | vertices and m = |E| edges. The first and the second Zagreb indices of G are defined as M1(G) = Σ uεV du2 = Σ uvεE[du + dv] and M2(G) = Σ uvεE du dv, respectively, where du denotes the degree of vertex u. We compare the multiplicative versions of these indices.