Let $G$ be a molecular graph with vertex set $V(G)$, $d_G(u, v)$ the topological distance between vertices $u$ and $v$ in $G$. The Hosoya polynomial $H(G, x)$ of $G$ is a polynomial $sumlimits_{{u, v}subseteq V(G)}x^{d_G(u, v)}$ in variable $x$. In this paper, we obtain an explicit analytical expression for the expected value of the Hosoya polynomial of a random benzenoid chain with $n$ hexagons. Furthermore, as corollaries, the expected values of the well-known topological indices: Wiener index, hyper-Wiener index and Tratch-Stankevitch-Zefirov index of a random benzenoid chain with $n$ hexagons can be obtained by simple mathematical calculations, which generates the results given by I. Gutman et al. [Wiener numbers of random benzenoid chains, Chem. Phys. Lett. 173 (1990) 403-408].
Xu,S , He,Q , Zhou,S and Chan,W H.. (2016). Hosoya Polynomials of Random Benzenoid Chains. Iranian Journal of Mathematical Chemistry, 7(1), 29-38. doi: 10.22052/ijmc.2016.11867
MLA
Xu,S , , He,Q , , Zhou,S , and Chan,W H.. "Hosoya Polynomials of Random Benzenoid Chains", Iranian Journal of Mathematical Chemistry, 7, 1, 2016, 29-38. doi: 10.22052/ijmc.2016.11867
HARVARD
Xu S, He Q, Zhou S, Chan W H.. (2016). 'Hosoya Polynomials of Random Benzenoid Chains', Iranian Journal of Mathematical Chemistry, 7(1), pp. 29-38. doi: 10.22052/ijmc.2016.11867
CHICAGO
S Xu, Q He, S Zhou and W H. Chan, "Hosoya Polynomials of Random Benzenoid Chains," Iranian Journal of Mathematical Chemistry, 7 1 (2016): 29-38, doi: 10.22052/ijmc.2016.11867
VANCOUVER
Xu S, He Q, Zhou S, Chan W H.. Hosoya Polynomials of Random Benzenoid Chains. Iranian J. Math. Chem.. 2016;7(1):29-38. doi: 10.22052/ijmc.2016.11867
