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