The number of prime parking functions

Detalhes bibliográficos
Autor(a) principal: Duarte, Rui
Data de Publicação: 2023
Outros Autores: Guedes de Oliveira, António
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/39695
Resumo: A parking function of length n is prime if we obtain a parking function of length n - 1 by deleting one 1 from it. In this note we give a new direct proof that the number of prime parking functions of length n is (n - 1) n-1. This proof leads to a new interpretation, in close terms to the definition of parking function.
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spelling The number of prime parking functionsParking FunctionsPrime Parking FunctionsA parking function of length n is prime if we obtain a parking function of length n - 1 by deleting one 1 from it. In this note we give a new direct proof that the number of prime parking functions of length n is (n - 1) n-1. This proof leads to a new interpretation, in close terms to the definition of parking function.Springer2023-11-15T15:33:56Z2023-06-13T00:00:00Z2023-06-13info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/39695eng0343-699310.1007/s00283-023-10275-5Duarte, RuiGuedes de Oliveira, Antónioinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-02-22T12:17:40Zoai:ria.ua.pt:10773/39695Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:09:51.583125Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv The number of prime parking functions
title The number of prime parking functions
spellingShingle The number of prime parking functions
Duarte, Rui
Parking Functions
Prime Parking Functions
title_short The number of prime parking functions
title_full The number of prime parking functions
title_fullStr The number of prime parking functions
title_full_unstemmed The number of prime parking functions
title_sort The number of prime parking functions
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 Parking Functions
Prime Parking Functions
topic Parking Functions
Prime Parking Functions
description A parking function of length n is prime if we obtain a parking function of length n - 1 by deleting one 1 from it. In this note we give a new direct proof that the number of prime parking functions of length n is (n - 1) n-1. This proof leads to a new interpretation, in close terms to the definition of parking function.
publishDate 2023
dc.date.none.fl_str_mv 2023-11-15T15:33:56Z
2023-06-13T00:00:00Z
2023-06-13
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/10773/39695
url http://hdl.handle.net/10773/39695
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0343-6993
10.1007/s00283-023-10275-5
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
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reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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