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arXiv · 2407.17168

Major Index on Catalan Combinatorics

Keiichi Shigechi
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Abstract

We study the two statistics, the inversion number and the major index, on Catalan combinatorial objects such as $r$-Dyck paths, $r$-Stirling permutations, non-crossing partitions, Dyck tilings, and symmetric Dyck paths. We show that they are equidistributed with the inversion number or the major index on Dyck paths.

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Keiichi Shigechi. 2024-07-24. Major Index on Catalan Combinatorics. https://arxiv.org/abs/2407.17168

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