Some results on topological indices of graphene

Abstract

Graph theory has provided chemist with a variety of useful tools, such as topological indices. A topological index Top(G) of a graph G is a number with the property that for every graph H isomorphic to G, Top(H) = Top(G). In this article, we present exact expressions for some topological indices of carbon compound graphene. We compute first Zagreb index, second Zagreb index, first multiple Zagreb index, second multiple Zagreb index, augmented Zagreb index, harmonic index and hyper-Zagreb index of graphene. These are some topological indices based on degrees.