一类广义格路的计数

doi:10.3969/j.issn.1007-2985.2013.02.001

journal6 ›› 2013, Vol. 34 ›› Issue (2): 1-4.DOI: 10.3969/j.issn.1007-2985.2013.02.001

• 数学 • 下一篇

一类广义格路的计数

(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)

出版日期:2013-03-25 发布日期:2013-04-23
作者简介:唐保祥(1961-)，男,甘肃天水人,天水师范学院数学与统计学院副教授，主要从事图论和组合数学研究.
基金资助:
国家自然科学基金资助项目(11171114)

Counting of One Kind of Generalized Lattice Path

(1.School of Mathematics and Statistics,Tianshui Normal University,Tianshui 741001,Gansu China;2.Department of Mathematics,East China Normal University,Shanghai 200062,China)

Online:2013-03-25 Published:2013-04-23

摘要/Abstract

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

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.

Key words: chessboard, generalized lattice path, character sequence, bijection

唐保祥, 任韩. 一类广义格路的计数[J]. journal6, 2013, 34(2): 1-4.

TANG Bao-Xiang, REN Han. Counting of One Kind of Generalized Lattice Path[J]. journal6, 2013, 34(2): 1-4.

一类广义格路的计数

Counting of One Kind of Generalized Lattice Path

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 0

编辑推荐

Metrics

本文评价