Major Index on Catalan Combinatorics
Combinatorics
2024-07-25 v1
Abstract
We study the two statistics, the inversion number and the major index, on Catalan combinatorial objects such as -Dyck paths, -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.
Keywords
Cite
@article{arxiv.2407.17168,
title = {Major Index on Catalan Combinatorics},
author = {Keiichi Shigechi},
journal= {arXiv preprint arXiv:2407.17168},
year = {2024}
}
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29 pages