Symmetry breaking in tournaments

We provide upper bounds for the determining number and the metric dimension of tournaments. A set of vertices S is a determining set for a tournament T if every nontrivial automorphism of T moves at least one vertex of S, while S is a resolving set for T if every two distinct vertices in T have diff...

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Detalhes bibliográficos
Autor: Lozano Boixadors, Antoni|||0000-0002-3633-063X
Tipo de documento: relatório científico
Data de publicação:2010
País:España
Recursos:Universitat Politècnica de Catalunya (UPC)
Repositório:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglês
OAI Identifier:oai:upcommons.upc.edu:2117/91158
Acesso em linha:https://hdl.handle.net/2117/91158
Access Level:Acceso aberto
Palavra-chave:Tournament
Determining number
Metric dimension
Àrees temàtiques de la UPC::Informàtica::Informàtica teòrica
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repository_id_str
spelling Symmetry breaking in tournamentsLozano Boixadors, Antoni|||0000-0002-3633-063XTournamentDetermining numberMetric dimensionÀrees temàtiques de la UPC::Informàtica::Informàtica teòricaWe provide upper bounds for the determining number and the metric dimension of tournaments. A set of vertices S is a determining set for a tournament T if every nontrivial automorphism of T moves at least one vertex of S, while S is a resolving set for T if every two distinct vertices in T have different distances to some vertex in S. We show that the minimum size of a determining set for an order n tournament (its determining number) is bounded by n/3, while the minimum size of a resolving set for an order n strong tournament (its metric dimension) is bounded by n/2. Both bounds are optimal.20102010-01-0120162016-10-27reporthttp://purl.org/coar/resource_type/c_93fcVoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/reportapplication/pdfhttps://hdl.handle.net/2117/91158reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/911582026-05-27T15:37:01Z
dc.title.none.fl_str_mv Symmetry breaking in tournaments
title Symmetry breaking in tournaments
spellingShingle Symmetry breaking in tournaments
Lozano Boixadors, Antoni|||0000-0002-3633-063X
Tournament
Determining number
Metric dimension
Àrees temàtiques de la UPC::Informàtica::Informàtica teòrica
title_short Symmetry breaking in tournaments
title_full Symmetry breaking in tournaments
title_fullStr Symmetry breaking in tournaments
title_full_unstemmed Symmetry breaking in tournaments
title_sort Symmetry breaking in tournaments
dc.creator.none.fl_str_mv Lozano Boixadors, Antoni|||0000-0002-3633-063X
author Lozano Boixadors, Antoni|||0000-0002-3633-063X
author_facet Lozano Boixadors, Antoni|||0000-0002-3633-063X
author_role author
dc.subject.none.fl_str_mv Tournament
Determining number
Metric dimension
Àrees temàtiques de la UPC::Informàtica::Informàtica teòrica
topic Tournament
Determining number
Metric dimension
Àrees temàtiques de la UPC::Informàtica::Informàtica teòrica
description We provide upper bounds for the determining number and the metric dimension of tournaments. A set of vertices S is a determining set for a tournament T if every nontrivial automorphism of T moves at least one vertex of S, while S is a resolving set for T if every two distinct vertices in T have different distances to some vertex in S. We show that the minimum size of a determining set for an order n tournament (its determining number) is bounded by n/3, while the minimum size of a resolving set for an order n strong tournament (its metric dimension) is bounded by n/2. Both bounds are optimal.
publishDate 2010
dc.date.none.fl_str_mv 2010
2010-01-01
2016
2016-10-27
dc.type.none.fl_str_mv report
http://purl.org/coar/resource_type/c_93fc
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/report
format report
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/91158
url https://hdl.handle.net/2117/91158
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.301603

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