RELATION BETWEEN WIENER NUMBERS OF QUASI-HEXAGONAL CHAINS AND QUASI-POLYOMINO CHAINS

被引:0
作者
Mingfang XIE College of JinshanFujian Agriculture and Forestry UniversityFuzhou China Fuji ZHANG Institute of MathematicsXiamen UniversityXiamen China [350002 ,361005 ]
机构
关键词
Hexagonal chain; polyomino chain; quasi-hexagonal chains; quasi-polyomino chain; Wiener number;
D O I
暂无
中图分类号
O641.1 [化学键理论];
学科分类号
070304 ; 081704 ;
摘要
<正> Let Q_n and B_n denote a quasi-polyomino chain with n squares and a quasi-hexagonalchain with n hexagons,respectively.In this paper,the authors establish a relation between the Wienernumbers of Q_n and B_n:W(Q_n)=1/4[W(B_n)-8/3n3+(14)/3n+3].And the extremal quasi-polyominochains with respect to the Wiener number are determined.Furthermore,several classes of polyominochains with large Wiener numbers are ordered.
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页码:873 / 882
页数:10
相关论文
共 5 条
[1]   Extremal polyomino chains on k-matchings and k-independent sets [J].
Zeng, Yanqiu ;
Zhang, Fuji .
JOURNAL OF MATHEMATICAL CHEMISTRY, 2007, 42 (02) :125-140
[2]   Wiener index of hexagonal systems [J].
Dobrynin, AA ;
Gutman, I ;
Klavzar, S ;
Zigert, P .
ACTA APPLICANDAE MATHEMATICAE, 2002, 72 (03) :247-294
[3]   Extremal hexagonal chains concerning k-matchings and k-independent sets [J].
Zhang, LZ ;
Zhang, FJ .
JOURNAL OF MATHEMATICAL CHEMISTRY, 2000, 27 (04) :319-329
[4]   The average Wiener index of hexagonal chains [J].
Dobrynin, AA ;
Gutman, I .
COMPUTERS & CHEMISTRY, 1999, 23 (06) :571-576
[5]  
A simple formula for the calculation of of the wiener index of hexagonal chains[J] . A.A. Dobrynin.Computers and Chemistry . 1999 (1)