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A new algorithm for computing Hosoya polynomial of TUC4C8(R/S) nanotorus

A. R. ASHRAFI1,* , H. SHABANI1

Affiliation

  1. Institute of Nanoscience and Nanotechnology, University of Kashan, Kashan 87317-51167, I. R. Iran

Abstract

The Hosoya polynomial of a molecular graph G is defined as H(G,q) q , { , } ( ) Σ d(u,v) ⊆ = u v V G where the sum is over all unordered pairs {u,v} of distinct vertices in G. Xu and Zhang in some research papers computed this polynomial for polyhex and TUC4C8(S) nanotorus. In this paper, a new algorithm for these calculations is presented. We also compute the Hosoya polynomial of TUC4C8(R) nanotorus.

Keywords

TUC4C8(R) nanotorus, TUC4C8(S) nanotorus, Hosoya polynomial.

Citation

A. R. ASHRAFI, H. SHABANI, A new algorithm for computing Hosoya polynomial of TUC4C8(R/S) nanotorus, Optoelectronics and Advanced Materials - Rapid Communications, 3, 12, December 2009, pp.1309-1314 (2009).

Submitted at: Oct. 19, 2009

Accepted at: Nov. 23, 2009