Wiener Indices in Random Cyclooctane Chains

被引：1

作者：

WEI Shouliu ^{[1
]}

KE Xiaoling ^{[1
]}

WANG Yan ^{[2
]}

机构：

[1] College of Mathematics and Data Science, Minjiang University

[2] School of Mathematics and Statistics, Minnan Normal University

来源：

Wuhan University Journal of Natural Sciences | 2018年 / 23卷 / 06期

关键词：

Wiener index; random cyclooctane chain; expected value; average value;

D O I：

暂无

中图分类号：

O624 [碳环化合物、脂环族化合物];

学科分类号：

070303 ; 081704 ;

摘要：

The Wiener index of a connected graph(molecule graph) G is the sum of the distances between all pairs of vertices of G. In this paper, simple exact formula are established for the expected value of Wiener index in random cyclooctane chain. Moreover, we obtain the average value of the Wiener indices with respect to the set of all cyclooctane chains with n octagons.

引用

页码：498 / 502

页数：5

共 13 条

[1] 八边形链的Kekul结构和Caterpillar树的Hosoya指标(英文) [J].

杨秀 ;

赵飚 .

新疆大学学报(自然科学版), 2013, 30 (03) :274-277+373

[2] The expected values of Hosoya index and Merrifield–Simmons index in a random polyphenylene chain [J].

Guihua Huang ;

Meijun Kuang ;

Hanyuan Deng .

Journal of Combinatorial Optimization, 2016, 32 :550-562

[3] Perfect matchings in random polyomino chain graphs [J].

Wei, Shouliu ;

Ke, Xiaoling ;

Lin, Fenggen .

JOURNAL OF MATHEMATICAL CHEMISTRY, 2016, 54 (03) :690-697

[4]

Combustion kinetics of cyclooctane and its binary mixture with o -xylene over a Pt/γ-alumina catalyst[J] . Ionut Banu,Corina Mihaela Manta,Georgeta Bercaru,Grigore Bozga.Chemical Engineering Research and Design . 2015

[5] Synthesis and Antimicrobial Evaluation of Some New Cyclooctanones and Cyclooctane-Based Heterocycles [J].

Ali, Korany A. ;

Hosni, Hanaa M. ;

Ragab, Eman A. ;

Abd El-Moez, Sherein I. .

ARCHIV DER PHARMAZIE, 2012, 345 (03) :231-239

[6]

Cyclo-octane‐1,2,5,6‐tetrayl tetra-acetate[J] . Emine Salamci,Re?at Ustaba?,Ufuk ?oruh,Metin Yavuz,Ezequiel M. Vázquez‐López.Acta Cryst. E . 2006 (6)

[7] Wiener index of hexagonal systems [J].

Dobrynin, AA ;

Gutman, I ;

Klavzar, S ;

Zigert, P .

ACTA APPLICANDAE MATHEMATICAE, 2002, 72 (03) :247-294

[8]

Wiener Index of Trees: Theory and Applications[J] . Andrey A. Dobrynin,Roger Entringer,Ivan Gutman.Acta Applicandae Mathematicae . 2001 (3)

[9]

Fixed-Boundary Octagonal Random Tilings: A Combinatorial Approach[J] . N. Destainville,R. Mosseri,F. Bailly.Journal of Statistical Physics . 2001 (1)

[10]

Conformational properties of cyclooctane: a molecular dynamics simulation study[J] . RISHIKESH K. BHARADWAJ.Molecular Physics . 2000 (4)

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