Recognition and characterization of unit interval graphs with integer endpoints

Autores
Duran, Guillermo Alfredo; Fernández Slezak, F.; Grippo, L.N.; Oliveira, F.de S.; Szwarcfiter, Jayme L.
Año de publicación
2017
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study those unit interval graphs having a model with intervals of integer endpoints and prescribed length. We present a structural result for this graph subclass which leads to a quadratic-time recognition algorithm, giving as positive certificate a model of minimum total length and as negative certificate a forbidden induced subgraph. We also present a quadratic-time algorithm to build, given a unit interval graph, a unit interval model with integer endpoints for which the interval length is as minimum as possible.
Fil: Duran, Guillermo Alfredo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Chile; Chile. Universidad de Buenos Aires; Argentina
Fil: Fernández Slezak, F.. Universidad de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Grippo, L.N.. Universidad Nacional de General Sarmiento; Argentina
Fil: Oliveira, F.de S.. Universidade do Estado de Rio do Janeiro; Brasil
Fil: Szwarcfiter, Jayme L.. Universidade do Estado de Rio do Janeiro; Brasil. Universidade Federal do Rio de Janeiro; Brasil
Materia
Forbidden Induced Subgraphs
Proper Interval Graphs
Unit Interval Graphs
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:11336/50305
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/50305
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Recognition and characterization of unit interval graphs with integer endpointsDuran, Guillermo AlfredoFernández Slezak, F.Grippo, L.N.Oliveira, F.de S.Szwarcfiter, Jayme L.Forbidden Induced SubgraphsProper Interval GraphsUnit Interval Graphshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We study those unit interval graphs having a model with intervals of integer endpoints and prescribed length. We present a structural result for this graph subclass which leads to a quadratic-time recognition algorithm, giving as positive certificate a model of minimum total length and as negative certificate a forbidden induced subgraph. We also present a quadratic-time algorithm to build, given a unit interval graph, a unit interval model with integer endpoints for which the interval length is as minimum as possible.Fil: Duran, Guillermo Alfredo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Chile; Chile. Universidad de Buenos Aires; ArgentinaFil: Fernández Slezak, F.. Universidad de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Grippo, L.N.. Universidad Nacional de General Sarmiento; ArgentinaFil: Oliveira, F.de S.. Universidade do Estado de Rio do Janeiro; BrasilFil: Szwarcfiter, Jayme L.. Universidade do Estado de Rio do Janeiro; Brasil. Universidade Federal do Rio de Janeiro; BrasilElsevier Science2017-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/50305Duran, Guillermo Alfredo; Fernández Slezak, F.; Grippo, L.N.; Oliveira, F.de S.; Szwarcfiter, Jayme L.; Recognition and characterization of unit interval graphs with integer endpoints; Elsevier Science; Discrete Applied Mathematics; 245; 6-2017; 168-1760166-218XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.dam.2017.04.013info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-11-05T09:35:07Zoai:ri.conicet.gov.ar:11336/50305instacron: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:34982025-11-05 09:35:07.871CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Recognition and characterization of unit interval graphs with integer endpoints
title Recognition and characterization of unit interval graphs with integer endpoints
spellingShingle Recognition and characterization of unit interval graphs with integer endpoints
Duran, Guillermo Alfredo
Forbidden Induced Subgraphs
Proper Interval Graphs
Unit Interval Graphs
title_short Recognition and characterization of unit interval graphs with integer endpoints
title_full Recognition and characterization of unit interval graphs with integer endpoints
title_fullStr Recognition and characterization of unit interval graphs with integer endpoints
title_full_unstemmed Recognition and characterization of unit interval graphs with integer endpoints
title_sort Recognition and characterization of unit interval graphs with integer endpoints
dc.creator.none.fl_str_mv Duran, Guillermo Alfredo
Fernández Slezak, F.
Grippo, L.N.
Oliveira, F.de S.
Szwarcfiter, Jayme L.
author Duran, Guillermo Alfredo
author_facet Duran, Guillermo Alfredo
Fernández Slezak, F.
Grippo, L.N.
Oliveira, F.de S.
Szwarcfiter, Jayme L.
author_role author
author2 Fernández Slezak, F.
Grippo, L.N.
Oliveira, F.de S.
Szwarcfiter, Jayme L.
author2_role author
author
author
author
dc.subject.none.fl_str_mv Forbidden Induced Subgraphs
Proper Interval Graphs
Unit Interval Graphs
topic Forbidden Induced Subgraphs
Proper Interval Graphs
Unit Interval Graphs
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We study those unit interval graphs having a model with intervals of integer endpoints and prescribed length. We present a structural result for this graph subclass which leads to a quadratic-time recognition algorithm, giving as positive certificate a model of minimum total length and as negative certificate a forbidden induced subgraph. We also present a quadratic-time algorithm to build, given a unit interval graph, a unit interval model with integer endpoints for which the interval length is as minimum as possible.
Fil: Duran, Guillermo Alfredo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Chile; Chile. Universidad de Buenos Aires; Argentina
Fil: Fernández Slezak, F.. Universidad de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Grippo, L.N.. Universidad Nacional de General Sarmiento; Argentina
Fil: Oliveira, F.de S.. Universidade do Estado de Rio do Janeiro; Brasil
Fil: Szwarcfiter, Jayme L.. Universidade do Estado de Rio do Janeiro; Brasil. Universidade Federal do Rio de Janeiro; Brasil
description We study those unit interval graphs having a model with intervals of integer endpoints and prescribed length. We present a structural result for this graph subclass which leads to a quadratic-time recognition algorithm, giving as positive certificate a model of minimum total length and as negative certificate a forbidden induced subgraph. We also present a quadratic-time algorithm to build, given a unit interval graph, a unit interval model with integer endpoints for which the interval length is as minimum as possible.
publishDate 2017
dc.date.none.fl_str_mv 2017-06
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/11336/50305
Duran, Guillermo Alfredo; Fernández Slezak, F.; Grippo, L.N.; Oliveira, F.de S.; Szwarcfiter, Jayme L.; Recognition and characterization of unit interval graphs with integer endpoints; Elsevier Science; Discrete Applied Mathematics; 245; 6-2017; 168-176
0166-218X
CONICET Digital
CONICET
url http://hdl.handle.net/11336/50305
identifier_str_mv Duran, Guillermo Alfredo; Fernández Slezak, F.; Grippo, L.N.; Oliveira, F.de S.; Szwarcfiter, Jayme L.; Recognition and characterization of unit interval graphs with integer endpoints; Elsevier Science; Discrete Applied Mathematics; 245; 6-2017; 168-176
0166-218X
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.dam.2017.04.013
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
publisher.none.fl_str_mv Elsevier Science
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 13.087074

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