Enumerations on bargraphs

Toufik Mansour, Armend Sh Shabani

Research output: Contribution to journalArticlepeer-review


In this review, we present the main results related to bargraphs from the enumerative point of view. We consider several geometrically motivated statistics in combinatorial families: compositions, words, set partitions, permutations and integer partitions, when such families are presented as bargraphs. The review contains presentation of main results of each consid-ered paper. The main discussion is preceded by short historical notes. Methods used throughout the review are discussed briefly. The review includes an up-to-date bibliography.

Original languageEnglish
Pages (from-to)65-94
Number of pages30
JournalDiscrete Mathematics Letters
StatePublished - 2019

Bibliographical note

Publisher Copyright:
© 2019 the authors.


  • Bargraphs
  • Compositions
  • Integer partitions
  • Permutations
  • Set partitions
  • Words

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics


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