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http://hdl.handle.net/10773/31437| Title: | Pak-Stanley labeling of the m-Catalan hyperplane arrangement |
| Other Titles: | Pak-Stanley labeling of the $m$-Catalan hyperplane arrangement |
| Author: | Duarte, Rui Guedes de Oliveira, António |
| Keywords: | Pak-Stanley labeling Catalan arrangement Shi arrangement Parking functions |
| Issue Date: | 27-Aug-2021 |
| Publisher: | Elsevier |
| 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. We characterize in simple terms the Pak-Stanley labels $\lambda(R)$ of the regions $R$ of the $m$-Catalan arrangement. We also propose a simple algorithm that returns $R$ from $\lambda(R)$. Finally, we characterize in close terms the labels of the relatively bounded regions. |
| Peer review: | yes |
| URI: | http://hdl.handle.net/10773/31437 |
| DOI: | 10.1016/j.aim.2021.107827 |
| ISSN: | 0001-8708 |
| Appears in Collections: | CIDMA - Artigos AGG - Artigos DMat - Artigos |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| AiM.pdf | 378.9 kB | Adobe PDF |  |
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