t-bargraphs and t-compositions

Toufik Mansour, Armend Sh Shabani

Research output: Contribution to journalArticlepeer-review


In this paper, we consider several statistics on t-compositions. We exhibit a bijection between the set of t-compositions and a set of bargraphs, introduced in this paper, named t-bargraphs. As our main statistic is per–the perimeter of a given t-bargraph, we obtain the corresponding generating function. We find both an explicit and an asymptotic formula for the total length of the perimeter over all t-bargraphs with n-cells.

Original languageEnglish
Pages (from-to)327-334
Number of pages8
JournalQuaestiones Mathematicae
Issue number3
StatePublished - 2021

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  • t-bargraphs
  • t-compositions

ASJC Scopus subject areas

  • Mathematics (miscellaneous)


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