Mesas of Stirling permutations
Combinatorics
2023-06-22 v1
Abstract
Given a Stirling permutation w, we introduce the mesa set of w as the natural generalization of the pinnacle set of a permutation. Our main results characterize admissible mesa sets and give closed enumerative formulas in terms of rational Catalan numbers by providing an explicit bijection between mesa sets and rational Dyck paths.
Cite
@article{arxiv.2306.12158,
title = {Mesas of Stirling permutations},
author = {Nicolle González and Pamela E. Harris and Gordon Rojas Kirby and Mariana Smit Vega Garcia and Bridget Eileen Tenner},
journal= {arXiv preprint arXiv:2306.12158},
year = {2023}
}
Comments
11 pages, 3 figures