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arXiv · 0803.3706

On bijections between 231-avoiding permutations and Dyck paths

Christian Stump
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Abstract

We construct a bijection between 231-avoiding permutations and Dyck paths that sends the sum of the major index and the inverse major index of a 231-avoiding permutation to the major index of the corresponding Dyck path. Furthermore, we relate this bijection to others and exhibit a bistatistic on 231-avoiding permutations which is related to the q,t-Catalan numbers.

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Christian Stump. 2009-10-02. On bijections between 231-avoiding permutations and Dyck paths. https://arxiv.org/abs/0803.3706

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