Longest increasing subsequences in involutions avoiding patterns of length three

Toufik Mansour; Gökhan Yildirim

doi:10.3906/mat-1901-86

Longest increasing subsequences in involutions avoiding patterns of length three

Toufik Mansour, Gökhan Yildirim

Department of Mathematics

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

Abstract

We study the longest increasing subsequences in random involutions that avoid the patterns of length three under the uniform probability distribution. We determine the exact and asymptotic formulas for the average length of the longest increasing subsequences for such permutation classes.

Original language	English
Pages (from-to)	2183-2192
Number of pages	10
Journal	Turkish Journal of Mathematics
Volume	43
Issue number	5
DOIs	https://doi.org/10.3906/mat-1901-86
State	Published - 2019

Bibliographical note

Publisher Copyright:
© 2019 Tübitak.

Keywords

Chebyshev polynomials
Generating functions
Involutions
Longest increasing subsequences
Pattern-avoidance

ASJC Scopus subject areas

General Mathematics

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10.3906/mat-1901-86

Cite this

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title = "Longest increasing subsequences in involutions avoiding patterns of length three",

abstract = "We study the longest increasing subsequences in random involutions that avoid the patterns of length three under the uniform probability distribution. We determine the exact and asymptotic formulas for the average length of the longest increasing subsequences for such permutation classes.",

keywords = "Chebyshev polynomials, Generating functions, Involutions, Longest increasing subsequences, Pattern-avoidance",

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KW - Chebyshev polynomials

KW - Generating functions

KW - Involutions

KW - Longest increasing subsequences

KW - Pattern-avoidance

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JO - Turkish Journal of Mathematics

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IS - 5

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Longest increasing subsequences in involutions avoiding patterns of length three

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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