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一类广义格路的计数
引用本文:唐保祥,任韩.一类广义格路的计数[J].吉首大学学报(自然科学版),2013,34(2):1-4.
作者姓名:唐保祥  任韩
作者单位:(1.天水师范学院数学与统计学院,甘肃 天水 741001;2.华东师范大学数学系,上海 200062)
基金项目:国家自然科学基金资助项目(11171114)
摘    要:连结m×n的棋盘上一对对角顶点的路称为广义格路.利用限位排列计数方法,得到m×n的棋盘上长为m+n+2的广义格路的计数公式.

关 键 词:棋盘  广义格路  字符序列  双射  

Counting of One Kind of Generalized Lattice Path
TANG Bao-xiang , REN Han.Counting of One Kind of Generalized Lattice Path[J].Journal of Jishou University(Natural Science Edition),2013,34(2):1-4.
Authors:TANG Bao-xiang  REN Han
Institution:(1.School of Mathematics and Statistics,Tianshui Normal University,Tianshui 741001,Gansu China;2.Department of Mathematics,East China Normal University,Shanghai 200062,China)
Abstract:The generalized lattice path is made by joining path which is on a pair of diagonal vertices on the chessboard of m×n.The counting formula of the generalized lattice path whose length is m+n+2 on chessboard of m×n has been obtained by using the counting method of the spacing permutations.
Keywords:chessboard  generalized lattice path  character sequence  bijection
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