t-bargraphs and t-compositions

Toufik Mansour; Armend Sh Shabani

doi:10.2989/16073606.2019.1691080

t-bargraphs and t-compositions

Toufik Mansour, Armend Sh Shabani

Department of Mathematics

University of Haifa

Research output: Contribution to journal › Article › peer-review

Abstract

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 language	American English
Pages (from-to)	327-334
Number of pages	8
Journal	Quaestiones Mathematicae
Volume	44
Issue number	3
DOIs	https://doi.org/10.2989/16073606.2019.1691080
State	Published - 2021

Keywords

t-bargraphs
t-compositions

All Science Journal Classification (ASJC) codes

Mathematics (miscellaneous)

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10.2989/16073606.2019.1691080

Cite this

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AB - 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.

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KW - t-compositions

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ER -

t-bargraphs and t-compositions

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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