Atom-Bond Connectivity and Geometric Arithmetic Indices of Dendrimer Nanostars

Abstract

Let G be a molecular graph. The atom-bond connectivity (ABC) and geometric-arithmetic (GA) indices of G are defined as ABC(G)=∑_(uv∈E(G))▒√((d_u+d_v-2)/(d_u d_v )) and GA(G)=∑_(uv∈E(G))▒(2√(d_u d_v ))/(d_u+d_v ) , where d_u (or d_v) denoted the degree of the vertex u (or v), respectively. A dendrimer is a hyperbranched molecule built up from branched units called monomers. In this paper, the ABC and GA indices for two families of dendrimer nanostars are presented.