A survey on Hosoya polynomial of some nano tubes and nano tori

Abstract

The Hosoya polynomial of a molecular graph G is defined as H(G,x)=∑_u,vϵV(G)x^d(u,v), where the sum is over all unordered pairs {u,v} of distinct vertices in G. In this paper we arrange the main result about the Hosoya polynomial of armchair polyhex, Zig-Zag, TUC₄C₈(R/S) nanotubes and nanotorus according to Ref.s [23-27].