Computing Ediz Eccentric Connectivity Index of an Infinite Class of Nanostar Dendrimers

Abstract

Let G be a molecular graph, we firstly define Ediz eccentric connectivity index as (E)xi(c) (G) = Sigma(n)(i=1) (S(i)/E(i)) where S(i) is the sum of degrees of all vertices v(j), adjacent to vertex v(i), E(i). is the largest distance between v(i) and any other vertex v(k) of G or the eccentricity of v(i) and n is the number of vertices in graph G. In this paper an exact formula for the Ediz eccentric connectivity index of an infinite class of nanostar dendrimers is given.