New equivalences for pattern avoidance for involutions

Dukes, W.M.B. and Jelínek, Vit and Mansour, Toufik and Reifegerste, Astrid (2009) New equivalences for pattern avoidance for involutions. Proceedings of the American Mathematical Society, 137 (2). pp. 457-465. ISSN 0002-9939

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Abstract

We complete the Wilf classification of signed patterns of length 5 for both signed permutations and signed involutions. New general equivalences of patterns are given which prove Jaggard's conjectures concerning involutions in the symmetric group avoiding certain patterns of length 5 and 6. In this way, we also complete the Wilf classification of S5, S6 and S7 for involutions.

ORCID iDs

Dukes, W.M.B. ORCID logoORCID: https://orcid.org/0000-0002-2779-2680, Jelínek, Vit, Mansour, Toufik and Reifegerste, Astrid;
  • Item type:Article
    ID code:34494
    Dates:
    Date
    Event
    2009
    Published
    Keywords:forbidden subsequences, pattern avoiding permutations, pattern avoiding involutions, signed permutations, Wilf equivalence , Electronic computers. Computer science, Applied Mathematics, Mathematics(all)
    Subjects:Science > Mathematics > Electronic computers. Computer science
    Department:Faculty of Science > Computer and Information Sciences
    Depositing user: Pure Administrator
    Date deposited:25 Oct 2011 13:45
    Last modified:20 Jan 2021 19:41
    URI:https://strathprints.strath.ac.uk/id/eprint/34494
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