University of KashanIranian Journal of Mathematical Chemistry2228-64892Issue 1 (Special Issue on the Occasion of Mircea V. Diudea's Sixtieth Birthday)20110401Hosoya Polynomial of an Infinite Family of Dendrimer Nanostar7179517110.22052/ijmc.2011.5171ENCH.ESLAHCHIShahid Beheshti University, IranS.ALIKHANIYazd University, IranM. H.AKHBARIIslamic Azad University, Estahban Branch, Estahban, IranJournal Article20140422Let 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.https://ijmc.kashanu.ac.ir/article_5171_d7afdc71a1f11f23e5c5555ed15965bf.pdf