We study the enumeration of bargraphs with respect to some corner statistics. We find generating functions for the number of bargraphs that track the corner statistics of interest, the number of cells, and the number of columns. We also consider bargraph representation of set partitions and obtain some explicit formulas for the number of specific types of corners in such representations.
|Number of pages||18|
|Journal||Applicable Analysis and Discrete Mathematics|
|State||Published - 1 Apr 2020|
Bibliographical noteFunding Information:
G. Yildirim would like to thank the Department of Mathematics at the University of Haifa for their warm hospitality during the writing of this paper.
© University of Belgrade.
- Bell numbers
- Set partitions
- Stirling numbers
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics
- Applied Mathematics