Staircases, dominoes, and the growth rate of 1324-avoiders

Bevan, David and Brignall, Robert and Elvey Price, Andrew and Pantone, Jay (2017) Staircases, dominoes, and the growth rate of 1324-avoiders. Electronic Notes in Discrete Mathematics, 61. 123–129. ISSN 1571-0653

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    Abstract

    We establish a lower bound of 10.24 for the growth rate of the permutations avoiding 1324, and an upper bound of 13.5. This is done by first finding the precise growth rate of a subclass whose enumeration is related to West-2-stack-sortable permutations, and then combining copies of this subclass in particular ways.

    ORCID iDs

    Bevan, David ORCID logoORCID: https://orcid.org/0000-0001-7179-2285, Brignall, Robert, Elvey Price, Andrew and Pantone, Jay;
    • Item type:Article
      ID code:60579
      Dates:
      Date
      Event
      31 August 2017
      Published
      3 August 2017
      Published Online
      29 April 2017
      Accepted
      Keywords:permutation classes, growth rates, 1324-avoiders, Mathematics, Discrete Mathematics and Combinatorics
      Subjects:Science > Mathematics
      Department:Faculty of Science > Computer and Information Sciences
      Depositing user: Pure Administrator
      Date deposited:03 May 2017 11:13
      Last modified:11 Nov 2021 02:13
      Related URLs:
      URI:https://strathprints.strath.ac.uk/id/eprint/60579
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