Vincent Vatter - An Erdős--Hajnal analogue for permutation classes

dmtcs:1328 - Discrete Mathematics & Theoretical Computer Science, March 24, 2016, Vol. 18 no. 2, Permutation Patterns 2015 - https://doi.org/10.46298/dmtcs.1328
An Erdős--Hajnal analogue for permutation classes

Authors: Vincent Vatter

    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 $cn$.


    Volume: Vol. 18 no. 2, Permutation Patterns 2015
    Section: Permutation Patterns
    Published on: March 24, 2016
    Submitted on: March 24, 2016
    Keywords: Mathematics - Combinatorics
    Fundings :
      Source : OpenAIRE Research Graph
    • The Structure of Permutation Classes; Funder: National Science Foundation; Code: 1301692

    Linked data

    Source : ScholeXplorer HasVersion DOI 10.48550/arxiv.1511.01076
    • 10.48550/arxiv.1511.01076
    An Erd��s--Hajnal analogue for permutation classes
    Vatter, Vincent ;

    Share

    Consultation statistics

    This page has been seen 500 times.
    This article's PDF has been downloaded 1106 times.