The eccentricity version of atom-bond connectivity index of linear polycene parallelogram benzenoid ABC5(P(n,n))

Abstract

Among topological descriptors, connectivity indices are very important and they have a prominent role in chemistry. The atom-bond connectivity index of a connected graph G is defined as ABC(G) = (Equation Presented), where dv denotes the degree of vertex v of G and the eccentric connectivity index of the molecular graph G is defined as ξ(G) =(Equation Presented), where ϵ(v) is the largest distance between v and any other vertex u of G. Also, the eccentric atom-bond connectivity index of a connected graph G is equal to ABC5(G) =(Equation Presented). In this present paper, we compute this new Eccentric Connectivity index for an infinite family of Linear Polycene Parallelogram Benzenoid.