Pak-Stanley labeling of the m-Catalan hyperplane arrangement
| Autor(a) principal: | |
|---|---|
| Data de Publicação: | 2021 |
| Outros Autores: | |
| Tipo de documento: | Artigo |
| Idioma: | eng |
| Título da fonte: | Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) |
| Texto Completo: | http://hdl.handle.net/10773/31437 |
Resumo: | 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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Pak-Stanley labeling of the m-Catalan hyperplane arrangementPak-Stanley labelingCatalan arrangementShi arrangementParking functionsWe 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.Elsevier2021-05-31T18:09:26Z2023-08-27T00:00:00Z2021-08-27T00:00:00Z2021-08-27info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/31437eng0001-870810.1016/j.aim.2021.107827Duarte, RuiGuedes de Oliveira, Antónioinfo:eu-repo/semantics/embargoedAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-05-06T04:32:03Zoai:ria.ua.pt:10773/31437Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T14:11:39.970741Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse |
| dc.title.none.fl_str_mv |
Pak-Stanley labeling of the m-Catalan hyperplane arrangement |
| title |
Pak-Stanley labeling of the m-Catalan hyperplane arrangement |
| spellingShingle |
Pak-Stanley labeling of the m-Catalan hyperplane arrangement Duarte, Rui Pak-Stanley labeling Catalan arrangement Shi arrangement Parking functions |
| title_short |
Pak-Stanley labeling of the m-Catalan hyperplane arrangement |
| title_full |
Pak-Stanley labeling of the m-Catalan hyperplane arrangement |
| title_fullStr |
Pak-Stanley labeling of the m-Catalan hyperplane arrangement |
| title_full_unstemmed |
Pak-Stanley labeling of the m-Catalan hyperplane arrangement |
| title_sort |
Pak-Stanley labeling of the m-Catalan hyperplane arrangement |
| author |
Duarte, Rui |
| author_facet |
Duarte, Rui Guedes de Oliveira, António |
| author_role |
author |
| author2 |
Guedes de Oliveira, António |
| author2_role |
author |
| dc.contributor.author.fl_str_mv |
Duarte, Rui Guedes de Oliveira, António |
| dc.subject.por.fl_str_mv |
Pak-Stanley labeling Catalan arrangement Shi arrangement Parking functions |
| topic |
Pak-Stanley labeling Catalan arrangement Shi arrangement Parking functions |
| description |
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. |
| publishDate |
2021 |
| dc.date.none.fl_str_mv |
2021-05-31T18:09:26Z 2021-08-27T00:00:00Z 2021-08-27 2023-08-27T00:00:00Z |
| dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
| dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
| format |
article |
| status_str |
publishedVersion |
| dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10773/31437 |
| url |
http://hdl.handle.net/10773/31437 |
| dc.language.iso.fl_str_mv |
eng |
| language |
eng |
| dc.relation.none.fl_str_mv |
0001-8708 10.1016/j.aim.2021.107827 |
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info:eu-repo/semantics/embargoedAccess |
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embargoedAccess |
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application/pdf |
| dc.publisher.none.fl_str_mv |
Elsevier |
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Elsevier |
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FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia |
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RCAAP |
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Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) |
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Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) |
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Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia |
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info@rcaap.pt |
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