Modelling and solving the perfect edge domination problem

Autores
do Forte, Vinicius L.; Lin, Min Chih; Lucena, Abilio; Maculan, Nelson; Moyano, Verónica Andrea; Szwarcfiter, Jayme L.
Año de publicación
2018
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
A formulation is proposed for the perfect edge domination problem and some exact algorithms based on it are designed and tested. So far, perfect edge domination has been investigated mostly in computational complexity terms. Indeed, we could find no previous explicit mathematical formulation or exact algorithm for the problem. Furthermore, testing our algorithms also represented a challenge. Standard randomly generated graphs tend to contain a single perfect edge dominating solution, i.e., the trivial one, containing all edges in the graph. Accordingly, some quite elaborated procedures had to be devised to have access to more challenging instances. A total of 736 graphs were thus generated, all of them containing feasible solutions other than the trivial ones. Every graph giving rise to a weighted and a non weighted instance, all instances solved to proven optimality by two of the algorithms tested.
Fil: do Forte, Vinicius L.. Universidade Federal Rural do Rio de Janeiro; Brasil
Fil: Lin, Min Chih. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Cálculo; Argentina
Fil: Lucena, Abilio. Universidade Federal do Rio de Janeiro; Brasil
Fil: Maculan, Nelson. Universidade Federal do Rio de Janeiro; Brasil
Fil: Moyano, Verónica Andrea. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Cálculo; Argentina
Fil: Szwarcfiter, Jayme L.. Universidade do Estado de Rio do Janeiro; Brasil. Universidade Federal do Rio de Janeiro; Brasil
Materia
COMPUTATIONAL RESULTS
EXACT ALGORITHMS
INSTANCE GENERATION
PERFECT EDGE DOMINATION
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:11336/92974
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Modelling and solving the perfect edge domination problemdo Forte, Vinicius L.Lin, Min ChihLucena, AbilioMaculan, NelsonMoyano, Verónica AndreaSzwarcfiter, Jayme L.COMPUTATIONAL RESULTSEXACT ALGORITHMSINSTANCE GENERATIONPERFECT EDGE DOMINATIONhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1A formulation is proposed for the perfect edge domination problem and some exact algorithms based on it are designed and tested. So far, perfect edge domination has been investigated mostly in computational complexity terms. Indeed, we could find no previous explicit mathematical formulation or exact algorithm for the problem. Furthermore, testing our algorithms also represented a challenge. Standard randomly generated graphs tend to contain a single perfect edge dominating solution, i.e., the trivial one, containing all edges in the graph. Accordingly, some quite elaborated procedures had to be devised to have access to more challenging instances. A total of 736 graphs were thus generated, all of them containing feasible solutions other than the trivial ones. Every graph giving rise to a weighted and a non weighted instance, all instances solved to proven optimality by two of the algorithms tested.Fil: do Forte, Vinicius L.. Universidade Federal Rural do Rio de Janeiro; BrasilFil: Lin, Min Chih. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Cálculo; ArgentinaFil: Lucena, Abilio. Universidade Federal do Rio de Janeiro; BrasilFil: Maculan, Nelson. Universidade Federal do Rio de Janeiro; BrasilFil: Moyano, Verónica Andrea. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Cálculo; ArgentinaFil: Szwarcfiter, Jayme L.. Universidade do Estado de Rio do Janeiro; Brasil. Universidade Federal do Rio de Janeiro; BrasilSpringer Heidelberg2018-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/92974do Forte, Vinicius L.; Lin, Min Chih; Lucena, Abilio; Maculan, Nelson; Moyano, Verónica Andrea; et al.; Modelling and solving the perfect edge domination problem; Springer Heidelberg; Optimization Letters; 10-20181862-4472CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs11590-018-1335-xinfo:eu-repo/semantics/altIdentifier/doi/10.1007/s11590-018-1335-xinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:36:38Zoai:ri.conicet.gov.ar:11336/92974instacron: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:34982025-09-29 09:36:38.54CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Modelling and solving the perfect edge domination problem
title Modelling and solving the perfect edge domination problem
spellingShingle Modelling and solving the perfect edge domination problem
do Forte, Vinicius L.
COMPUTATIONAL RESULTS
EXACT ALGORITHMS
INSTANCE GENERATION
PERFECT EDGE DOMINATION
title_short Modelling and solving the perfect edge domination problem
title_full Modelling and solving the perfect edge domination problem
title_fullStr Modelling and solving the perfect edge domination problem
title_full_unstemmed Modelling and solving the perfect edge domination problem
title_sort Modelling and solving the perfect edge domination problem
dc.creator.none.fl_str_mv do Forte, Vinicius L.
Lin, Min Chih
Lucena, Abilio
Maculan, Nelson
Moyano, Verónica Andrea
Szwarcfiter, Jayme L.
author do Forte, Vinicius L.
author_facet do Forte, Vinicius L.
Lin, Min Chih
Lucena, Abilio
Maculan, Nelson
Moyano, Verónica Andrea
Szwarcfiter, Jayme L.
author_role author
author2 Lin, Min Chih
Lucena, Abilio
Maculan, Nelson
Moyano, Verónica Andrea
Szwarcfiter, Jayme L.
author2_role author
author
author
author
author
dc.subject.none.fl_str_mv COMPUTATIONAL RESULTS
EXACT ALGORITHMS
INSTANCE GENERATION
PERFECT EDGE DOMINATION
topic COMPUTATIONAL RESULTS
EXACT ALGORITHMS
INSTANCE GENERATION
PERFECT EDGE DOMINATION
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv A formulation is proposed for the perfect edge domination problem and some exact algorithms based on it are designed and tested. So far, perfect edge domination has been investigated mostly in computational complexity terms. Indeed, we could find no previous explicit mathematical formulation or exact algorithm for the problem. Furthermore, testing our algorithms also represented a challenge. Standard randomly generated graphs tend to contain a single perfect edge dominating solution, i.e., the trivial one, containing all edges in the graph. Accordingly, some quite elaborated procedures had to be devised to have access to more challenging instances. A total of 736 graphs were thus generated, all of them containing feasible solutions other than the trivial ones. Every graph giving rise to a weighted and a non weighted instance, all instances solved to proven optimality by two of the algorithms tested.
Fil: do Forte, Vinicius L.. Universidade Federal Rural do Rio de Janeiro; Brasil
Fil: Lin, Min Chih. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Cálculo; Argentina
Fil: Lucena, Abilio. Universidade Federal do Rio de Janeiro; Brasil
Fil: Maculan, Nelson. Universidade Federal do Rio de Janeiro; Brasil
Fil: Moyano, Verónica Andrea. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Cálculo; Argentina
Fil: Szwarcfiter, Jayme L.. Universidade do Estado de Rio do Janeiro; Brasil. Universidade Federal do Rio de Janeiro; Brasil
description A formulation is proposed for the perfect edge domination problem and some exact algorithms based on it are designed and tested. So far, perfect edge domination has been investigated mostly in computational complexity terms. Indeed, we could find no previous explicit mathematical formulation or exact algorithm for the problem. Furthermore, testing our algorithms also represented a challenge. Standard randomly generated graphs tend to contain a single perfect edge dominating solution, i.e., the trivial one, containing all edges in the graph. Accordingly, some quite elaborated procedures had to be devised to have access to more challenging instances. A total of 736 graphs were thus generated, all of them containing feasible solutions other than the trivial ones. Every graph giving rise to a weighted and a non weighted instance, all instances solved to proven optimality by two of the algorithms tested.
publishDate 2018
dc.date.none.fl_str_mv 2018-10
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/11336/92974
do Forte, Vinicius L.; Lin, Min Chih; Lucena, Abilio; Maculan, Nelson; Moyano, Verónica Andrea; et al.; Modelling and solving the perfect edge domination problem; Springer Heidelberg; Optimization Letters; 10-2018
1862-4472
CONICET Digital
CONICET
url http://hdl.handle.net/11336/92974
identifier_str_mv do Forte, Vinicius L.; Lin, Min Chih; Lucena, Abilio; Maculan, Nelson; Moyano, Verónica Andrea; et al.; Modelling and solving the perfect edge domination problem; Springer Heidelberg; Optimization Letters; 10-2018
1862-4472
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs11590-018-1335-x
info:eu-repo/semantics/altIdentifier/doi/10.1007/s11590-018-1335-x
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 Springer Heidelberg
publisher.none.fl_str_mv Springer Heidelberg
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 13.070432

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