Relation between wiener numbers of quasi-hexagonal chains and quasi-polyomino chains

被引：3

作者：

Xie, Mingfang ^{[1
]}

Zhang, Fuji ^{[2
]}

机构：

[1] Fujian Agr & Forestry Univ, Coll Jinshan, Fuzhou 350002, Peoples R China

[2] Xiamen Univ, Inst Math, Xiamen 361005, Peoples R China

来源：

JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY | 2010年 / 23卷 / 04期

关键词：

Hexagonal chain; polyomino chain; quasi-hexagonal chains; quasi-polyomino chain; Wiener number; BENZENOID HYDROCARBONS; SYSTEMS; INDEX; PHENYLENES;

D O I：

10.1007/s11424-010-7024-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let Q (n) and B (n) denote a quasi-polyomino chain with n squares and a quasi-hexagonal chain with n hexagons, respectively. In this paper, the authors establish a relation between the Wiener numbers of Q (n) and R(n): W(Q(n)) = 1/4 [W(R(n)) - 8/3n(3) + 14/3n +3] . And the extremal quasi-polyomino chains with respect to the Wiener number are determined. Furthermore, several classes of polyomino chains with large Wiener numbers are ordered.

引用

页码：873 / 882

页数：10

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