Note on the bijectivity of the Pak-Stanley labelling
Combinatorics
2015-01-13 v1
Abstract
This article has the sole purpose of presenting a simple, self-contained and direct proof of the fact that the Pak-Stanley labeling is a bijection. The construction behind the proof is subsumed in a forthcoming paper [R. Duarte and A. Guedes de Oliveira, The braid and the Shi arrangements and the Pak-Stanley labeling, Eur. J. Combinatorics, in press.], but an actual self-contained proof is not explicitly included in that paper.
Cite
@article{arxiv.1501.02362,
title = {Note on the bijectivity of the Pak-Stanley labelling},
author = {Rui Duarte and António Guedes de Oliveira},
journal= {arXiv preprint arXiv:1501.02362},
year = {2015}
}
Comments
8 pages, 2 figures