Equivalences for pattern avoiding involutions and classification

Dukes, Mark and Jelinek, Vıt and Mansour, Toufik and Reifegerste, Astrid; (2008) Equivalences for pattern avoiding involutions and classification. In: DMTCS Proceedings. Discrete Mathematics & Theoretical Computer Science, Nancy, France, pp. 181-188. (http://www.dmtcs.org/dmtcs-ojs/index.php/proceedin...)

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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 both permutations and involutions.

ORCID iDs

Dukes, Mark ORCID logoORCID: https://orcid.org/0000-0002-2779-2680, Jelinek, Vıt, Mansour, Toufik and Reifegerste, Astrid;
CORE (COnnecting REpositories)