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

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: https://orcid.org/0000-0002-2779-2680

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  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:	13 Aug 2021 02:30
  URI:	https://strathprints.strath.ac.uk/id/eprint/34494