Pak-Stanley labeling of the $m$-Catalan hyperplane arrangement
Combinatorics
2019-12-12 v2
Abstract
We characterize in simple terms the Pak-Stanley labels of the regions of the -Catalan arrangement. We also propose a simple algorithm that returns from . Finally, we characterize in close terms the labels of the relatively bounded regions.
Cite
@article{arxiv.1903.12108,
title = {Pak-Stanley labeling of the $m$-Catalan hyperplane arrangement},
author = {Rui Duarte and António Guedes de Oliveira},
journal= {arXiv preprint arXiv:1903.12108},
year = {2019}
}
Comments
14 pages, 5 figures