New equivalences for pattern avoidance for involutions

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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 (https://doi.org/10.1090/S0002-9939-08-09492-6)

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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;
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