Turkish Journal of Mathematics
Abstract
Bargraphs are lattice paths in $\mathbb{N}_0^2$ 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 $\pi_1\pi_2\cdots\pi_m$ 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.
DOI
10.3906/mat-1803-113
Keywords
Bargraphs, generating functions, $C$-vertices, combinatorial statistic
First Page
2763
Last Page
2773
Recommended Citation
MANSOUR, TOUFIK and SHABANI, ARMEND
(2018)
"Bargraphs in bargraphs,"
Turkish Journal of Mathematics: Vol. 42:
No.
5, Article 51.
https://doi.org/10.3906/mat-1803-113
Available at:
https://journals.tubitak.gov.tr/math/vol42/iss5/51
