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

页码：2763 / 2773

页数：11