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dc.date.accessioned | 2019-10-03T19:00:18Z | |
dc.date.available | 2019-10-03T19:00:18Z | |
dc.date.issued | 2009 | |
dc.identifier.uri | http://sedici.unlp.edu.ar/handle/10915/82662 | |
dc.description.abstract | A complete set of a graph G is a subset of vertices inducing a complete subgraph. A clique is a maximal complete set. Denote by C (G) the clique family of G. The clique graph of G, denoted by K (G), is the intersection graph of C (G). Say that G is a clique graph if there exists a graph H such that G = K (H). The clique graph recognition problem asks whether a given graph is a clique graph. A sufficient condition was given by Hamelink in 1968, and a characterization was proposed by Roberts and Spencer in 1971. However, the time complexity of the problem of recognizing clique graphs is a long-standing open question. We prove that the clique graph recognition problem is NP-complete. | en |
dc.format.extent | 2072-2083 | es |
dc.language | en | es |
dc.subject | Clique graphs | es |
dc.subject | Helly property | es |
dc.subject | Intersection graphs | es |
dc.subject | NP-complete problems | es |
dc.title | The complexity of clique graph recognition | en |
dc.type | Articulo | es |
sedici.identifier.other | doi:10.1016/j.tcs.2009.01.018 | es |
sedici.identifier.other | eid:2-s2.0-64249166457 | es |
sedici.identifier.issn | 0304-3975 | es |
sedici.creator.person | Alcón, Liliana Graciela | es |
sedici.creator.person | Faria, Luerbio | es |
sedici.creator.person | Figueiredo, Celina M. H. de | es |
sedici.creator.person | Gutiérrez, Marisa | es |
sedici.subject.materias | Matemática | es |
sedici.description.fulltext | true | es |
mods.originInfo.place | Facultad de Ciencias Exactas | es |
sedici.subtype | Articulo | es |
sedici.rights.license | Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) | |
sedici.rights.uri | http://creativecommons.org/licenses/by-nc-sa/4.0/ | |
sedici.description.peerReview | peer-review | es |
sedici.relation.journalTitle | Theoretical Computer Science | es |
sedici.relation.journalVolumeAndIssue | vol. 410, no. 21-23 | es |