t-bargraphs and t-compositions

Toufik Mansour; Armend Sh Shabani

doi:https://doi.org/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)

Access to Document

https://doi.org/10.2989/16073606.2019.1691080

Cite this

@article{023ad9ad6e7140db957040bf508a4128,

title = "t-bargraphs and t-compositions",

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.",

keywords = "t-bargraphs, t-compositions",

author = "Toufik Mansour and Shabani, {Armend Sh}",

note = "Publisher Copyright: {\textcopyright} 2019 NISC (Pty) Ltd.",

year = "2021",

doi = "https://doi.org/10.2989/16073606.2019.1691080",

language = "American English",

volume = "44",

pages = "327--334",

journal = "Quaestiones Mathematicae",

issn = "1607-3606",

publisher = "Taylor and Francis Ltd.",

number = "3",

}

TY - JOUR

T1 - t-bargraphs and t-compositions

AU - Mansour, Toufik

AU - Shabani, Armend Sh

PY - 2021

Y1 - 2021

N2 - 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.

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.

KW - t-bargraphs

KW - t-compositions

UR - http://www.scopus.com/inward/record.url?scp=85076086974&partnerID=8YFLogxK

U2 - https://doi.org/10.2989/16073606.2019.1691080

DO - https://doi.org/10.2989/16073606.2019.1691080

M3 - Article

SN - 1607-3606

VL - 44

SP - 327

EP - 334

JO - Quaestiones Mathematicae

JF - Quaestiones Mathematicae

IS - 3

ER -

t-bargraphs and t-compositions

Abstract

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this