Pak-Stanley labeling of the m-Catalan hyperplane arrangement

2019/03/28 by Duarte, Rui, de Oliveira, António Guedes
#Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1903.12108

Abstract

We characterize in simple terms the Pak-Stanley labels λ(R) of the regions R of the m-Catalan arrangement. We also propose a simple algorithm that returns R from λ(R). Finally, we characterize in close terms the labels of the relatively bounded regions.

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