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	Hosoya polynomials of the capped zig-zag nanotubes
	Lin, Xiaoxia ; Guo, Xiaofeng ; Guo XF(郭晓峰)
	2012-10
关键词	Hosoya polynomial Wiener index capped zig-zag nanotubes
英文摘要	The Hosoya polynomial of a graph G is defined as H (G, x) = Sigma(k >= 0) d(G, k)x(k), where d(G, k) is the number of the vertex pairs at distance k in G. The calculation of Hosoya polynomials of molecular graphs is a significant topic because some important molecular topological indices such as Wiener index, hyper-Wiener index, and Wiener vector, can be obtained from Hosoya polynomials. Hosoya polynomials of zig-zag open-ended nanotubes have been given by Xu and Zhang et al. A capped zig-zag nanotube T(p,q)[C, D; a] consists of a zig-zag open-ended nanotube T (p, q) and two caps C and D with the relative position a between C and D. In this paper, we give a general formula for calculating Hosoya polynomial of any capped zig-zag nanotube. By the formula, Hosoya polynomial of any capped zig-zag nanotube can be deduced. Furthermore, it is also shown that any two non-isomorphic capped zig-zag nanotube T(p, q)[C, D; a(1)], T (p, q)[C, D; a(2)] with q >= q* >= p + 1 have the same Hosoya polynomial, where q* is a integer which depends on structures of C and D.; NSFC [10831001, 11171279, 11001113]; Natural Science Foundation of Fujian Province of China [2010J01008]; FJCEF [JA11163]
语种	英语
出版者	CHARLES BABBAGE RES CTR
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/14466]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Lin, Xiaoxia,Guo, Xiaofeng,Guo XF. Hosoya polynomials of the capped zig-zag nanotubes[J],2012.
APA	Lin, Xiaoxia,Guo, Xiaofeng,&郭晓峰.(2012).Hosoya polynomials of the capped zig-zag nanotubes..
MLA	Lin, Xiaoxia,et al."Hosoya polynomials of the capped zig-zag nanotubes".(2012).

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