八边形链的Kekul结构和Caterpillar树的Hosoya指标(英文)

杨秀; 赵飚

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八边形链的Kekul结构和Caterpillar树的Hosoya指标(英文)

更新时间：2026-01-21

- 八边形链的Kekul结构和Caterpillar树的Hosoya指标(英文)
- Journal of Xinjiang University (Natural Science Edition in Chinese and English) Vol. 30, Issue 3, Pages: 274-277(2013)
- 作者机构：
  
  新疆大学数学与系统科学学院
- 作者简介：
- 基金信息：
- DOI：
  CLC： O157.5
- Published：2013
- 稿件说明：
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[1]杨秀,赵飚.八边形链的Kekul结构和Caterpillar树的Hosoya指标(英文)[J].新疆大学学报(自然科学版),2013,30(03):274-277+373.

杨秀, 赵飚. 八边形链的Kekul结构和Caterpillar树的Hosoya指标(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2013, 30(3): 274-277.
[1]杨秀,赵飚.八边形链的Kekul结构和Caterpillar树的Hosoya指标(英文)[J].新疆大学学报(自然科学版),2013,30(03):274-277+373. DOI：

杨秀, 赵飚. 八边形链的Kekul结构和Caterpillar树的Hosoya指标(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2013, 30(3): 274-277. DOI：

摘要

八边形系统是一个有限的2-连通平面图且它的每一个内部面都是一个正则八边形.八边形链是这样一个八边形系统:它的每一个正则八边形都至多有两个相邻的八边形.这篇文章中我们将证明:对于任何一条八边形链Q

都存在与之相对应的Caterpillar树C(Q)使得Caterpillar树C(Q)的Hosoya指标等于这条八边形链的Kekule′结构数目.

Abstract

An octagonal system is a finite 2-connected plane graph such that each interior face is surrounded by a regular octagon of length one. An octagonal chain is an octagonal system in which no octagon has more than two neighbors. In this note

we show that

for an octagonal chain Q

there exists a caterpillar tree C(Q) such that the number of Kekule′ structures of Q is equal to the Hosoya index of C(Q).

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Keywords

references

Hosoya H.Topological index.A newly proposed quantity characterizing the topological nature of structural isomers of saturated hydrocarbons[J].Bull Chem Soc Jpn,1971,44:2332-2339.

Hosoya H,Yamaguchi T.Sextet polynomial.A new enumeration and proof technique for the resonance theory applied to the aromatic hydrocarbons[J].Tetrahedron Lett,1975:4659-4662.

Gutman I.Topological properties of benzenoid systems[J].Theor Chim Acta,1977,16:307-315.

Hosoya H,Gutman I.Kekule′structures of hexagonal chains-some unusual connections[J].Math Chem,2008,44:559-568.

Li S,Yan W.Kekule′structures of polyomino chains and the Hosoya index of caterpillar trees[J].Discrete Math,2012,312:2397-2400.

Gutman I,Polansky O E.Mathematical Concepts in organic Chemisty[J].Springer Berlin,1986.

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