Eccentric connectivity index of nanostar dendrimer NS3[n]

Document Type : Research Paper

Author

Department of Mathematics, Nazarabad Center, Karaj Branch, Islamic Azad University, Karaj, Iran

Abstract

Let G be a molecular graph. The eccentric connectivity index, ξ(G) , is defined as, ξ(G)=∑deg(u).ecc(u) , where deg(u) denotes the degree of vertex u and ecc(u) is the largest distance between u and any other vertex v of G. In this paper, an exact formula for the eccentric connectivity index of nanostar dendrimer NS3[n] is given.

Keywords