Characterizations of Postman Sets

Autores
Aguilera, Néstor Edgardo; Leoni, Valeria Alejandra
Año de publicación
2004
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Using results by McKee and Woodall on binary matroids, we prove that the set of postman sets has odd cardinality, generalizing a result by Toida on the cardinality of cycles in Eulerian graphs. We study the relationship between T-joins and blocks of the underlying graph, obtaining a decom- position of postman sets in terms of blocks. We conclude by giving several characterizations of T-joins which are postman sets and commenting on practical issues.
Fil: Aguilera, Néstor Edgardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química. Universidad Nacional del Litoral. Instituto de Desarrollo Tecnológico para la Industria Química; Argentina
Fil: Leoni, Valeria Alejandra. Universidad Nacional de Rosario; Argentina
Materia
CARDINALITY
DECOMPOSITION
GRAPH BLOCK
POSTMAN SETS
T-JOINS
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/100578
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Characterizations of Postman SetsAguilera, Néstor EdgardoLeoni, Valeria AlejandraCARDINALITYDECOMPOSITIONGRAPH BLOCKPOSTMAN SETST-JOINShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Using results by McKee and Woodall on binary matroids, we prove that the set of postman sets has odd cardinality, generalizing a result by Toida on the cardinality of cycles in Eulerian graphs. We study the relationship between T-joins and blocks of the underlying graph, obtaining a decom- position of postman sets in terms of blocks. We conclude by giving several characterizations of T-joins which are postman sets and commenting on practical issues.Fil: Aguilera, Néstor Edgardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química. Universidad Nacional del Litoral. Instituto de Desarrollo Tecnológico para la Industria Química; ArgentinaFil: Leoni, Valeria Alejandra. Universidad Nacional de Rosario; ArgentinaElsevier Science B. V.2004-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/100578Aguilera, Néstor Edgardo; Leoni, Valeria Alejandra; Characterizations of Postman Sets; Elsevier Science B. V.; Electronic Notes in Discrete Mathematics; 18; 12-2004; 5-101571-0653CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.endm.2004.06.001info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2026-08-25T15:29:32Zoai:ri.conicet.gov.ar:11336/100578instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982026-08-25 15:29:32.312CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Characterizations of Postman Sets
title Characterizations of Postman Sets
spellingShingle Characterizations of Postman Sets
Aguilera, Néstor Edgardo
CARDINALITY
DECOMPOSITION
GRAPH BLOCK
POSTMAN SETS
T-JOINS
title_short Characterizations of Postman Sets
title_full Characterizations of Postman Sets
title_fullStr Characterizations of Postman Sets
title_full_unstemmed Characterizations of Postman Sets
title_sort Characterizations of Postman Sets
dc.creator.none.fl_str_mv Aguilera, Néstor Edgardo
Leoni, Valeria Alejandra
author Aguilera, Néstor Edgardo
author_facet Aguilera, Néstor Edgardo
Leoni, Valeria Alejandra
author_role author
author2 Leoni, Valeria Alejandra
author2_role author
dc.subject.none.fl_str_mv CARDINALITY
DECOMPOSITION
GRAPH BLOCK
POSTMAN SETS
T-JOINS
topic CARDINALITY
DECOMPOSITION
GRAPH BLOCK
POSTMAN SETS
T-JOINS
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Using results by McKee and Woodall on binary matroids, we prove that the set of postman sets has odd cardinality, generalizing a result by Toida on the cardinality of cycles in Eulerian graphs. We study the relationship between T-joins and blocks of the underlying graph, obtaining a decom- position of postman sets in terms of blocks. We conclude by giving several characterizations of T-joins which are postman sets and commenting on practical issues.
Fil: Aguilera, Néstor Edgardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química. Universidad Nacional del Litoral. Instituto de Desarrollo Tecnológico para la Industria Química; Argentina
Fil: Leoni, Valeria Alejandra. Universidad Nacional de Rosario; Argentina
description Using results by McKee and Woodall on binary matroids, we prove that the set of postman sets has odd cardinality, generalizing a result by Toida on the cardinality of cycles in Eulerian graphs. We study the relationship between T-joins and blocks of the underlying graph, obtaining a decom- position of postman sets in terms of blocks. We conclude by giving several characterizations of T-joins which are postman sets and commenting on practical issues.
publishDate 2004
dc.date.none.fl_str_mv 2004-12
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/100578
Aguilera, Néstor Edgardo; Leoni, Valeria Alejandra; Characterizations of Postman Sets; Elsevier Science B. V.; Electronic Notes in Discrete Mathematics; 18; 12-2004; 5-10
1571-0653
CONICET Digital
CONICET
url http://hdl.handle.net/11336/100578
identifier_str_mv Aguilera, Néstor Edgardo; Leoni, Valeria Alejandra; Characterizations of Postman Sets; Elsevier Science B. V.; Electronic Notes in Discrete Mathematics; 18; 12-2004; 5-10
1571-0653
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/j.endm.2004.06.001
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier Science B. V.
publisher.none.fl_str_mv Elsevier Science B. V.
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.364332

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