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On the theta number of powers of cycle graphs

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorBACHOC, Christine
hal.structure.identifierReformulations based algorithms for Combinatorial Optimization [Realopt]
hal.structure.identifierLaboratoire Bordelais de Recherche en Informatique [LaBRI]
dc.contributor.authorPÊCHER, Arnaud
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorTHIERY, Alain
dc.date.accessioned2024-04-04T02:27:13Z
dc.date.available2024-04-04T02:27:13Z
dc.date.created2011-03-02
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/190015
dc.description.abstractEnWe give a closed formula for Lovasz theta number of the powers of cycle graphs and of their complements, the circular complete graphs. As a consequence, we establish that the circular chromatic number of a circular perfect graph is computable in polynomial time. We also derive an asymptotic estimate for this theta number.
dc.description.sponsorship/ - ANR-09-BLAN-0373
dc.language.isoen
dc.subject.entheta number
dc.subject.encircular complete graph
dc.subject.encircular perfect graph
dc.title.enOn the theta number of powers of cycle graphs
dc.typeDocument de travail - Pré-publication
dc.subject.halMathématiques [math]/Combinatoire [math.CO]
dc.identifier.arxiv1103.0444
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-00572897
hal.version1
hal.audienceNon spécifiée
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00572897v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=BACHOC,%20Christine&P%C3%8ACHER,%20Arnaud&THIERY,%20Alain&rft.genre=preprint


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