New equivalences for pattern avoiding involutions

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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 S_5, S_6, and S_7 for both permutations and involutions.
11 pages, 2 Tables

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Combinatorics, 05A15, 05A05

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http://salesiana.dossiersoluciones.com/handle/123456789/146269

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0708.1357
 http://arxiv.org/abs/0708.1357

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arXiv