Enumerations on bargraphs

Toufik Mansour; Armend Sh Shabani

Enumerations on bargraphs

Toufik Mansour, Armend Sh Shabani

Department of Mathematics

University of Haifa

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

Abstract

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 language	American English
Pages (from-to)	65-94
Number of pages	30
Journal	Discrete Mathematics Letters
Volume	2
State	Published - 2019

Keywords

Bargraphs
Compositions
Integer partitions
Permutations
Set partitions
Words

All Science Journal Classification (ASJC) codes

Discrete Mathematics and Combinatorics

Cite this

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abstract = "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.",

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AB - 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.

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KW - Compositions

KW - Integer partitions

KW - Permutations

KW - Set partitions

KW - Words

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JO - Discrete Mathematics Letters

JF - Discrete Mathematics Letters

ER -

Enumerations on bargraphs

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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