Bargraphs in bargraphs

被引：1
|
作者：
Marsour, Toufik [1 ]
Shabani, Armend Sh. [2 ]
机构：
[1] Univ Haifa, Dept Math, Haifa, Israel
[2] Univ Prishtina, Dept Math, Prishtine, Kosovo
来源：
TURKISH JOURNAL OF MATHEMATICS | 2018年 / 42卷 / 05期
关键词：
Bargraphs; generating functions; C-vertices; combinatorial statistic; PATH; PERIMETER;
D O I：
10.3906/mat-1803-113
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Bargraphs are lattice paths in N-0(2) that start at the origin and end upon their first return to the x-axis. Each bargraph is represented by a sequence of column heights pi(1)pi(2) . . . pi(m) such that column j contains pi(j) cells. In this paper, we study the number of bargraphs with n cells and m columns according to the distribution for the statistic that records the number of times a given shape lies entirely within a bargraph for various small shapes.
引用
收藏
页码：2763 / 2773
页数：11
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