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)= where d_v denotes the degree of vertex v of G and the eccentric connectivity index of the molecular graph G is defined as ξ(G)=, 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)=.

In this present paper, we compute this new Eccentric and Connectivity index for an infinite family of Linear Polycene Parallelogram Benzenoid.