The Interval Constrained 3-Coloring Problem

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BYRKA, Jaroslaw, Andreas KARRENBAUER, Laura SANITÀ, 2010. The Interval Constrained 3-Coloring Problem. LATIN 2010 : Theoretical Informatics ; 9th Latin American Symposium. Oaxaca, Mexico, Apr 19, 2010 - Apr 23, 2010. In: LÓPEZ-ORTIZ, Alejandro, ed.. LATIN 2010 : Theoretical Informatics ; Proceedings. Berlin:Springer, pp. 591-602. ISSN 0302-9743. ISBN 978-3-642-12199-9. Available under: doi: 10.1007/978-3-642-12200-2_51

@inproceedings{Byrka2010Inter-6232, title={The Interval Constrained 3-Coloring Problem}, year={2010}, doi={10.1007/978-3-642-12200-2_51}, number={6034}, isbn={978-3-642-12199-9}, issn={0302-9743}, address={Berlin}, publisher={Springer}, series={Lecture Notes in Computer Science}, booktitle={LATIN 2010 : Theoretical Informatics ; Proceedings}, pages={591--602}, editor={López-Ortiz, Alejandro}, author={Byrka, Jaroslaw and Karrenbauer, Andreas and Sanità, Laura} }

<rdf:RDF xmlns:dcterms="" xmlns:dc="" xmlns:rdf="" xmlns:bibo="" xmlns:dspace="" xmlns:foaf="" xmlns:void="" xmlns:xsd="" > <rdf:Description rdf:about=""> <dcterms:isPartOf rdf:resource=""/> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <dcterms:bibliographicCitation>First publ. in: arXiv:0907.3563v2 [cs.DM]</dcterms:bibliographicCitation> <dspace:hasBitstream rdf:resource=""/> <dspace:isPartOfCollection rdf:resource=""/> <dcterms:abstract xml:lang="eng">In this paper, we settle the open complexity status of interval constrained coloring with a fixed number of colors. We prove that the problem is already NP-complete if the number of different colors is 3. Previously, it has only been known that it is NP-complete, if the number of colors is part of the input and that the problem is solvable in polynomial time, if the number of colors is at most 2. We also show that it is hard to satisfy almost all of the constraints for a feasible instance. This implies APX-hardness of maximizing the number of simultaneously satisfiable intervals.</dcterms:abstract> <dcterms:isPartOf rdf:resource=""/> <dc:contributor>Byrka, Jaroslaw</dc:contributor> <dc:creator>Sanità, Laura</dc:creator> <dcterms:available rdf:datatype="">2011-03-24T16:10:24Z</dcterms:available> <dc:format>application/pdf</dc:format> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <dcterms:issued>2010</dcterms:issued> <dc:date rdf:datatype="">2011-03-24T16:10:24Z</dc:date> <dc:rights>terms-of-use</dc:rights> <dcterms:rights rdf:resource=""/> <dc:contributor>Sanità, Laura</dc:contributor> <dc:creator>Karrenbauer, Andreas</dc:creator> <dcterms:title>The Interval Constrained 3-Coloring Problem</dcterms:title> <dc:contributor>Karrenbauer, Andreas</dc:contributor> <dc:creator>Byrka, Jaroslaw</dc:creator> <bibo:uri rdf:resource=""/> <dc:language>eng</dc:language> <dcterms:hasPart rdf:resource=""/> <dspace:isPartOfCollection rdf:resource=""/> </rdf:Description> </rdf:RDF>

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