Five classes of pattern avoiding inversion sequences under one roof: generating trees

Toufik Mansour

doi:10.1080/10236198.2023.2253327

Five classes of pattern avoiding inversion sequences under one roof: generating trees

Toufik Mansour

Department of Mathematics

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

Abstract

An inversion sequence of length n is a word (Formula presented.) which satisfies for each (Formula presented.) the inequalities (Formula presented.). In this paper, we present enumerations of four classes of inversion sequences that avoid a pattern of length 4. More precisely, we describe each class by a generating tree with 2 labels, and then we obtain an explicit formula for the generating function for the number of inversion sequences of length n that avoid either 0132, (Formula presented.), (Formula presented.), 0123, or 0321.

Original language	English
Pages (from-to)	748-762
Number of pages	15
Journal	Journal of Difference Equations and Applications
Volume	29
Issue number	7
DOIs	https://doi.org/10.1080/10236198.2023.2253327
State	Published - 2023

Bibliographical note

Publisher Copyright:
© 2023 Informa UK Limited, trading as Taylor & Francis Group.

Keywords

Inversion sequences
generating trees
kernel method
pattern avoidance

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Applied Mathematics

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10.1080/10236198.2023.2253327

Cite this

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abstract = "An inversion sequence of length n is a word (Formula presented.) which satisfies for each (Formula presented.) the inequalities (Formula presented.). In this paper, we present enumerations of four classes of inversion sequences that avoid a pattern of length 4. More precisely, we describe each class by a generating tree with 2 labels, and then we obtain an explicit formula for the generating function for the number of inversion sequences of length n that avoid either 0132, (Formula presented.), (Formula presented.), 0123, or 0321.",

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KW - kernel method

KW - pattern avoidance

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ER -

Five classes of pattern avoiding inversion sequences under one roof: generating trees

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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