University of KashanIranian Journal of Mathematical Chemistry2228-64894220130501On the Roots of Hosoya Polynomial of a Graph231238529610.22052/ijmc.2013.5296ENM. H.REYHANIIslamic Azad University, IranS. ALIKHANIYazd University, Yazd, IranM. A.IRANMANESHYazd University, IranJournal Article20140504Let G = (V, E) be a simple graph. Hosoya polynomial of G is d(u,v) H(G, x) = {u,v}V(G)x , where, d(u ,v) denotes the distance between vertices u and v. As is the case with other graph polynomials, such as chromatic, independence and domination polynomial, it is natural to study the roots of Hosoya polynomial of a graph. In this paper we study the roots of Hosoya polynomials of some specific graphs.https://ijmc.kashanu.ac.ir/article_5296_410164e0c444ea9cc736e03dd626520e.pdf