# Computing Eccentric Connectivity Index of Nanostar Dendrimers

**Sara Mehdipour, Mehdi Alaeiyan, Ali Nejati ^{ *}**

*Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran*

**E-mail:** ^{* }a.nejati56@yahoo.com

**Abstract:** Let G be a molecular graph, the *eccentric connectivity index *of *G* is defined as x* ^{c}*(

*G*) = å

_{u}_{ ÎV(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*, namely, eccentricity of

*u*. In this study, we present exact expressions for the eccentric connectivity index of two inﬁnite classes of nanostar dendrimers.

**Keywords:** eccentric connectivity index, nanostar dendrimers, topological index, eccentricity

*Full paper in Portable Document Format:* acs_0279.pdf

Acta Chimica Slovaca, Vol. 10, No. 2, 2017, pp. 96—100, DOI: 10.1515/acs-2017-0017