Bargraphs in bargraphs

Toufik Marsour, Armend Sh Shabani

Research output: Contribution to journalArticlepeer-review


Bargraphs are lattice paths in ℕ0 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 π1π2...πm such that column j contains πj 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.

Original languageEnglish
Pages (from-to)2763-2773
Number of pages11
JournalTurkish Journal of Mathematics
Issue number5
StatePublished - 2018

Bibliographical note

Publisher Copyright:


  • Bargraphs
  • C-vertices
  • Combinatorial statistic
  • Generating functions

ASJC Scopus subject areas

  • General Mathematics


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