Enumerations of bargraphs with respect to corner statistics

Toufik Mansour, Gökhan Yildirim

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Pages (from-to)221-238
Number of pages18
JournalApplicable Analysis and Discrete Mathematics
Volume14
Issue number1
DOIs
StatePublished - 1 Apr 2020

Bibliographical note

Funding 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.

Publisher Copyright:
© University of Belgrade.

Keywords

  • Bargraph
  • Bell numbers
  • Corners
  • Set partitions
  • Stirling numbers

ASJC Scopus subject areas

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

Fingerprint

Dive into the research topics of 'Enumerations of bargraphs with respect to corner statistics'. Together they form a unique fingerprint.

Cite this