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

作　　者：Mingfang XIE Fuji ZHANG 

机构地区：[1]College of Jinshan, Fujian Agriculture and Forestry University, Fuzhou 350002, China [2]Fuji ZHANG Institute of Mathematics, Xiamen University, Xiamen 361005, China

出　　处：《Journal of Systems Science & Complexity》2010年第4期873-882,共10页系统科学与复杂性学报（英文版）

基　　金：supported by the Natural Science Foundation of China under Grant No. 10371102

摘　　要：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)-8/3n^3+(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.

关 键 词：Hexagonal chain polyomino chain quasi-hexagonal chains quasi-polyomino chain Wiener number. 

分 类 号：TU991.23[建筑科学—市政工程] O157.5[理学—数学]