Hosoya Polynomial of an Infinite Family of Dendrimer Nanostar

ESLAHCHI, CH.; ALIKHANI, S.; AKHBARI, M. H.

doi:10.22052/ijmc.2011.5171

Hosoya Polynomial of an Infinite Family of Dendrimer Nanostar

Document Type : Research Paper

Authors

CH. ESLAHCHI ¹

S. ALIKHANI ²

M. H. AKHBARI ³

¹ Shahid Beheshti University, Iran

² Yazd University, Iran

³ Islamic Azad University, Estahban Branch, Estahban, Iran

10.22052/ijmc.2011.5171

Abstract

Let G be a simple graph. The Hosoya polynomial of G is ( , ) , ( , ) = { , } ( ) xd u v H G x  u v V G where d(u,v) denotes the distance between vertices u and v . The dendrimer nanostar is a part of a new group of macromolecules. In this paper we compute the Hosoya polynomial for an infinite family of dendrimer nanostar. As a consequence we obtain the Wiener index and the hyper-Wiener index of this dendrimer.

Keywords

Hosoya polynomial

Wiener index

Dendrimer nanostar

diameter