The permutation classes Av(1234,2341) and Av(1243,2314)

Bevan, David (2016) The permutation classes Av(1234,2341) and Av(1243,2314). Australasian Journal of Combinatorics, 64. 3–20. ISSN 1034-4942

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    Abstract

    We investigate the structure of the two permutation classes defined by the sets of forbidden patterns {1234, 2341} and {1243, 2314}. By considering how the Hasse graphs of permutations in these classes can be built from a sequence of rooted source graphs, we determine their algebraic generating functions. Our approach is similar to that of “adding a slice”, used previously to enumerate various classes of polyominoes and other combinatorial structures. To solve the relevant functional equations, we make extensive use of the kernel method.

    ORCID iDs

    Bevan, David ORCID logoORCID: https://orcid.org/0000-0001-7179-2285;
    • Item type:Article
      ID code:57969
      Dates:
      Date
      Event
      29 February 2016
      Published
      5 March 2015
      Accepted
      Keywords:permutation classes, kernel method, Hasse graphs, Mathematics, Discrete Mathematics and Combinatorics
      Subjects:Science > Mathematics
      Department:Faculty of Science > Computer and Information Sciences
      Depositing user: Pure Administrator
      Date deposited:28 Sep 2016 12:38
      Last modified:30 Jun 2021 01:09
      Related URLs:
      URI:https://strathprints.strath.ac.uk/id/eprint/57969
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