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The number of prime parking functions

Bibliographic Details
Main Author: Duarte, Rui
Publication Date: 2023
Other Authors: Guedes de Oliveira, António
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10773/39695
Summary: 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:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-05-06T04:50:22Zoai:ria.ua.pt:10773/39695Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T14:21:53.696300Repositórios 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 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:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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