Exterior Corners on Bargraphs of Motzkin Words

Toufik Mansour; José L. Ramírez

doi:10.1007/978-3-031-52969-6_30

Exterior Corners on Bargraphs of Motzkin Words

Toufik Mansour
, José L. Ramírez

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

In this paper we introduce the concept of Motzkin words and Motzkin bargraphs. Over this family of bargraphs we study the exterior corner statistic. Generating functions and exact combinatorial formulas of the exterior corners are established.

Original language	English
Title of host publication	Combinatorics, Graph Theory and Computing - SEICCGTC 2021
Editors	Frederick Hoffman, Sarah Holliday, Zvi Rosen, Farhad Shahrokhi, John Wierman
Publisher	Springer
Pages	355-367
Number of pages	13
ISBN (Print)	9783031529689
DOIs	https://doi.org/10.1007/978-3-031-52969-6_30
State	Published - 2024
Event	52nd Southeastern International Conference on Combinatorics, Graph Theory and Computing, SEICCGTC 2021 - Boca Raton, United States Duration: 8 Mar 2021 → 12 Mar 2021

Publication series

Name	Springer Proceedings in Mathematics and Statistics
Volume	448
ISSN (Print)	2194-1009
ISSN (Electronic)	2194-1017

Conference

Conference	52nd Southeastern International Conference on Combinatorics, Graph Theory and Computing, SEICCGTC 2021
Country/Territory	United States
City	Boca Raton
Period	8/03/21 → 12/03/21

Bibliographical note

Publisher Copyright:
© The Author(s), under exclusive license to Springer Nature Switzerland AG 2024.

Keywords

External corners
Generating function
Motzkin word

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1007/978-3-031-52969-6_30

Cite this

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title = "Exterior Corners on Bargraphs of Motzkin Words",

abstract = "In this paper we introduce the concept of Motzkin words and Motzkin bargraphs. Over this family of bargraphs we study the exterior corner statistic. Generating functions and exact combinatorial formulas of the exterior corners are established.",

keywords = "External corners, Generating function, Motzkin word",

author = "Toufik Mansour and Ram{\'i}rez, \{Jos{\'e} L.\}",

note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive license to Springer Nature Switzerland AG 2024.; 52nd Southeastern International Conference on Combinatorics, Graph Theory and Computing, SEICCGTC 2021 ; Conference date: 08-03-2021 Through 12-03-2021",

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Mansour, T & Ramírez, JL 2024, Exterior Corners on Bargraphs of Motzkin Words. in F Hoffman, S Holliday, Z Rosen, F Shahrokhi & J Wierman (eds), Combinatorics, Graph Theory and Computing - SEICCGTC 2021. Springer Proceedings in Mathematics and Statistics, vol. 448, Springer, pp. 355-367, 52nd Southeastern International Conference on Combinatorics, Graph Theory and Computing, SEICCGTC 2021, Boca Raton, United States, 8/03/21. https://doi.org/10.1007/978-3-031-52969-6_30

Exterior Corners on Bargraphs of Motzkin Words. / Mansour, Toufik; Ramírez, José L.
Combinatorics, Graph Theory and Computing - SEICCGTC 2021. ed. / Frederick Hoffman; Sarah Holliday; Zvi Rosen; Farhad Shahrokhi; John Wierman. Springer, 2024. p. 355-367 (Springer Proceedings in Mathematics and Statistics; Vol. 448).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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