Hosoya Polynomials of TUC4C8(R) Nanotubes

摘要

For a connected graph G, the Hosoya polynomial of G is defined as H(G, x) = Sigma({u,v}subset of(G))x(d(u,v)) where V(G) is the set of all vertices of G and d(u, v) is the distance between vertices u and v. In this article, we obtain analytical expressions for Hosoya polynomials of TUC4C8(R) nanotubes. Furthermore, the Wiener index and the hyper-Wiener index can be calculated. (C) 2008 Wiley Periodicals, Inc. Int J Quantum Chem 109: 641-649, 2009