2015/01/10 by Rui Duarte, Duarte, Rui, António Guedes de Oliveira +1
Mathematics · #05A15 #05A19 #Combinatorics (math.CO) #FOS: Mathematics #math.CO #msc:05A15 #msc:05A19
paper · pdf · doi:10.48550/arxiv.1501.02362
8 pages, 2 figures
arxiv created 2015/01/10 · arxiv updated 2015/01/13
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.