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arXiv · 0708.1357

New equivalences for pattern avoiding involutions

Mark Dukes·Vit Jelínek·Toufik Mansour·Astrid Reifegerste
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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 S_5, S_6, and S_7 for both permutations and involutions.

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Mark Dukes, Vit Jelínek, Toufik Mansour, Astrid Reifegerste. 2008-01-22. New equivalences for pattern avoiding involutions. https://arxiv.org/abs/0708.1357

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