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The Hosoya polynomial of one-quadrilateral carbon nanocone

QIU-XIA ZHANG1, SHOU-JUN XU1,* , HAI-YANG CHEN1

Affiliation

  1. School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, P. R. China

Abstract

Let G be a chemical graph with vertex set V(G) and d (u,v) G the distance between vertices u and v inG . The Hsoya polynomial in variable x of graph G is( , ){ , } ( )u vGu v V Gx  . In this paper, we give an analytical expression for calculating the Hosoya polynomial of one-quadrilateral carbon nanocone. Furthermore, a series of distance-based molecular structure descriptors, such as the well-known Wiener index, the hyper-Wiener index etc., can be easily obtained..

Keywords

Wiener index, Hosoya polynomial, Molecular structure descriptor, One-quadrilateral carbon nanocone.

Citation

QIU-XIA ZHANG, SHOU-JUN XU, HAI-YANG CHEN, The Hosoya polynomial of one-quadrilateral carbon nanocone, Optoelectronics and Advanced Materials - Rapid Communications, 7, 9-10, September-October 2013, pp.770-775 (2013).

Submitted at: May 1, 2013

Accepted at: Sept. 18, 2013