Skip to main contentSkip to search
Episciences
Open Access Journals
Sign in(new window)
Discrete Mathematics & Theoretical Computer Science logo
Discrete Mathematics & Theoretical Computer Science
Discrete Mathematics & Theoretical Computer Science logo
Discrete Mathematics & Theoretical Computer Science
Sign in(new window)
Articles & Issues
All articlesAll accepted articlesAll volumesLast volumeSectionsSpecial issuesAuthors
About
The journalIndexing
Boards
Publish
For authorsEthical charter
Submit
Discrete Mathematics & Theoretical Computer Science logo
Contact
|
Credits
eISSN 1365-8050
|
RSS
|
Atom
Episciences
Documentation
|
Acknowledgements
|
Publishing policy
Accessibility: non-compliant
|
Legal mentions
|
Privacy statement
|
Terms of use
  1. Home > Articles & Issues >
  2. Articles >
  3. An Erd\H{o}s--Hajnal ...
Article

An Erd\H{o}s--Hajnal analogue for permutation classes

Vincent Vatter
Download article
Open on arXiv
Imported on
March 24, 2016
Published on
March 24, 2016
Last modified on
March 31, 2025
Special issue 18
vol. 18:2, Permutation Patterns 2015
Permutation Patterns
DOI
10.46298/dmtcs.1328
License
arXiv.org - Non-exclusive license to distribute
National Science Foundation
1301692
The Structure of Permutation Classes
Indicators
1170
Views
1652
Downloads

An Erd\H{o}s--Hajnal analogue for permutation classes

Vincent Vatter
Abstract
Let $\mathcal{C}$ be a permutation class that does not contain all layered permutations or all colayered permutations. We prove that there is a constant $c$ such that every permutation in $\mathcal{C}$ of length $n$ contains a monotone subsequence of length $cn$.
Keywords
  • Mathematics - Combinatorics
Cited by

Source: OpenCitations

  • The Hierarchy of Hereditary Sorting Operators

    Society for Industrial and Applied Mathematics eBooks

    Authors : Vít Jelínek ORCID, Michal Opler ORCID, Jakub Pekárek ORCID

    Journal reference : Volume , 2024, pp. 1447-1464

    DOI : 10.1137/1.9781611977912.59

  • Ramsey-type and amalgamation-type properties of permutations

    Cambridge University Press eBooks

    Authors : Vít Jelínek ORCID

    Journal reference : Volume , 2017, pp. 272-311

    DOI : 10.1017/9781108332699.007

  • Generalized Coloring of Permutations

    Algorithmica

    Authors : Vít Jelínek ORCID, Michal Opler ORCID, Pavel Valtr ORCID

    Journal reference : Volume 86, 2024, pp. 2174-2210

    DOI : 10.1007/s00453-024-01220-9
Preview
Loading PDF preview...