A new method for computing ABC index of nanostar dendrimers

Abstract

The ABC index is a topological index was defined as $ABC(G)=sum_{uvin E}sqrt{(d_G (u) +d_G (v )- 2)/d_G (u)d_G (v )} $, where $d_G(u)$ denotes degree of vertex u. The second version of ABC index is defined as $ABC_2(G)=sum_{uvin E}sqrt{(n_u+n_v-2)/n_un_v} $ where $n_u $is the number of vertices closer to vertex u than v. In this paper we study some properties of these new topological indices.