The Perimeter of 2-Compositions

Toufik Mansour, Armend Sh Shabani

Research output: Contribution to journalArticlepeer-review


In this note, we consider several statistics on 2-compositions. We show that there is a bijection between the set of 2-compositions and a set of bargraphs, introduced in this note, named 2-bargraphs. As we focus on the statistic per–the perimeter of the given 2-bargraph, we find the corresponding generating function. We also find an explicit formula for the total length of the perimeter over all 2-bargraphs with n-cells.

Original languageEnglish
Pages (from-to)1639-1644
Number of pages6
JournalQuaestiones Mathematicae
Issue number11
StatePublished - 2020

Bibliographical note

Publisher Copyright:
© 2019 NISC (Pty) Ltd.


  • 2-compositions
  • Bargraphs
  • perimeter

ASJC Scopus subject areas

  • Mathematics (miscellaneous)


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