Computing the Szeged Index of Styrylbenzene Dendrimer and Triarylamine Dendrimer of Generation 1 − 3

Let e be an edge of a G connecting the vertices u and v. Define two sets N1(e|G) and N2(e|G) as N1(e|G) = {x∈V(G) | d(x,u) < d(x,v)} and N2(e|G) = {x∈V(G) | d(x,u) > d(x,v)}. The number of elements of N1(e|G) and N2(e|G) are denoted by n1(e|G) and n2(e|G) respectively. The Szeged index of the graph G is defined as Sz(G) = Σe∈E(G) n1(e|G) n2(e|G). In this paper we compute the Szeged index of the two-type of dendrimer