On the theta number of powers of cycle graphs
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | Reformulations based algorithms for Combinatorial Optimization [Realopt] | |
| dc.contributor.author | BACHOC, Christine | |
| hal.structure.identifier | Laboratoire Bordelais de Recherche en Informatique [LaBRI] | |
| dc.contributor.author | PÊCHER, Arnaud | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | THIÉRY, Alain | |
| dc.date.accessioned | 2024-04-04T03:22:42Z | |
| dc.date.available | 2024-04-04T03:22:42Z | |
| dc.date.created | 2012-04-12 | |
| dc.date.issued | 2013-12-01 | |
| dc.identifier.issn | 0209-9683 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194781 | |
| dc.description.abstractEn | We give a closed formula for Lovász's theta number of the powers of cycle graphs $C_k^d$ and of their complements, the circular complete graphs $K_{k/d}$. 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 the theta number of $C_k^d$. | |
| dc.description.sponsorship | / - ANR-09-BLAN-0373 | |
| dc.language.iso | en | |
| dc.publisher | Springer Verlag | |
| dc.title.en | On the theta number of powers of cycle graphs | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1007/s00493-013-2950-x | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| dc.subject.hal | Mathématiques [math]/Combinatoire [math.CO] | |
| dc.subject.hal | Sciences de l'Homme et Société/Sciences de l'information et de la communication | |
| dc.identifier.arxiv | 1103.0444 | |
| bordeaux.journal | Combinatorica | |
| bordeaux.page | 297-317 | |
| bordeaux.volume | 33 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 3 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01003633 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01003633v1 | |
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