HOSOYA POLYNOMIALS OF RANDOM BENZENOID CHAINS

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XU SHOU JUN; HE QING HUA; ZHOU SHAN; CHAN WAI HONG

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Journal: Iranian Journal of Mathematical Chemistry Year:2016 | Volume:7 | Issue:1 Page(s): 29-38

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Title

HOSOYA POLYNOMIALS OF RANDOM BENZENOID CHAINS

Author(s)

XU SHOU JUN | HE QING HUA | ZHOU SHAN | CHAN WAI HONG | Issue Writer Certificate

Keywords

WIENER INDEXQ3

RANDOM BENZENOID CHAINQ2

HOSOYA POLYNOMIALQ2

EXPECTED VALUEQ2

GENERATING FUNCTIONQ2

Abstract

Let G be a molecular graph with vertex set V (G) and dG (u, v) be the topological distance between verticesu and v in G. The HOSOYA POLYNOMIAL H (G, x) of G is a polynomial å{u,v}Ív(G)xdG(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 withn 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 withn 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].

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APA: Copy

XU, SHOU JUN, HE, QING HUA, ZHOU, SHAN, & CHAN, WAI HONG. (2016). HOSOYA POLYNOMIALS OF RANDOM BENZENOID CHAINS. IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY, 7(1), 29-38. SID. https://sid.ir/paper/205530/en

Vancouver: Copy

XU SHOU JUN, HE QING HUA, ZHOU SHAN, CHAN WAI HONG. HOSOYA POLYNOMIALS OF RANDOM BENZENOID CHAINS. IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY[Internet]. 2016;7(1):29-38. Available from: https://sid.ir/paper/205530/en

IEEE: Copy

SHOU JUN XU, QING HUA HE, SHAN ZHOU, and WAI HONG CHAN, “HOSOYA POLYNOMIALS OF RANDOM BENZENOID CHAINS,” IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY, vol. 7, no. 1, pp. 29–38, 2016, [Online]. Available: https://sid.ir/paper/205530/en

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