The Generalized Zagreb index of the Armchair Polyhex Nanotubes TUAC6[m,n]

Let G=(V;E) be a simple connected graph with vertices set and edges set V=V(G) and E=E(G), respectively. The First and Second Zagreb indices were first introduced by I. Gutman and N.Trinajstić in 1972 as M1(G)= dv2 and M2(G)= (dv×dv), respectively. Recently, theGeneralized Zagreb index of a graph G was introduced by A. Iranmanesh and M. Azari as M{r,s}(G)= (dvrdvs+dvsdvr). In this paper, we focus on the structure of nanotube “Armchair Polyhex Nanotubes TUAC6[m,n]” ("m,nÎ?) and compute its Generalized Zagreb index.