Note on the bijectivity of the Pak-Stanley labelling http://arxiv.org/abs/1501.02362

• Type: Other Publications
• Date: 2015

Authors

Rui Duarte (Author) Other; António Guedes de Oliveira (Author) Other

Scientific classification

CORDIS: Physical sciences > Mathematics > Discrete mathematics

FOS: Natural sciences > Mathematics

Other information

Abstract (EN): 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.

Language: English

Type (Professor's evaluation): Scientific