Partial parking functions

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Feb 2019Embargo end date: 01 May 2018 Portugal English Publisher:Elsevier BVJournal:Discrete Mathematics, volume 342, pages 562-571 (issn: 0012-365X,

Copyright policy )Funded by:FCT | Center for Research and D...

Authors: Rui Duarte; António Guedes de Oliveira;

doi: 10.1016/j.disc.2018.10.032 , 10.48550/arxiv.1805.04153

arXiv: 1805.04153

handle: 10773/25212

Partial parking functions

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Abstract

We characterise the Pak-Stanley labels of the regions of a family of hyperplane arrangements that interpolate between the Shi arrangement and the Ish arrangement.

11 pages. Revised version following the suggestions of the reviewers

Country

Portugal

Related Organizations

Keywords

Arrangements of hyperplanes, 05A19, Symmetric functions and generalizations, arrangements of hyperplanes, Ish arrangement, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Arrangements of points, flats, hyperplanes (aspects of discrete geometry), Shi arrangement

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