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Bijections for refined restricted permutations

Sergi Elizalde·Igor Pak
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Abstract

We present a bijection between 321- and 132-avoiding permutations that preserves the number of fixed points and the number of excedances. This gives a simple combinatorial proof of recent results of Robertson, Saracino and Zeilberger, and the first author. We also show that our bijection preserves additional statistics, which extends the previous results.

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Sergi Elizalde, Igor Pak. 2002-12-23. Bijections for refined restricted permutations. https://arxiv.org/abs/math/0212328

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