Edge-critical subgraphs of Schrijver graphs

dc.contributor.authorKaiser, Tomáš
dc.contributor.authorStehlík, Matěj
dc.date.accessioned2020-09-14T10:00:19Z
dc.date.available2020-09-14T10:00:19Z
dc.date.issued2020
dc.description.abstract-translatedFor k≥1 and n≥2k, the Kneser graph KG(n,k) has all k-element subsets of an n-element set as vertices; two such subsets are adjacent if they are disjoint. It was first proved by Lovász that the chromatic number of KG(n,k) is n−2k+2. Schrijver constructed a vertex-critical subgraph SG(n,k) of KG(n,k) with the same chromatic number. For the stronger notion of criticality defined in terms of removing edges, however, no analogous construction is known except in trivial cases. We provide such a construction for k=2 and arbitrary n≥4 by means of a nice explicit combinatorial definition.en
dc.format6 s.cs
dc.format.mimetypeapplication/pdf
dc.identifier.citationKAISER, T., STEHLÍK, M. Edge-critical subgraphs of Schrijver graphs. Journal of combinatorial theory series B, 2020, roč. 144, č. September 2020, s. 191-196. ISSN 0095-8956.en
dc.identifier.document-number543403800009
dc.identifier.doi10.1016/j.jctb.2020.02.004
dc.identifier.issn0095-8956
dc.identifier.obd43929756
dc.identifier.uri2-s2.0-85079597052
dc.identifier.urihttp://hdl.handle.net/11025/39641
dc.language.isoenen
dc.project.IDGA17-04611S/Ramseyovské aspekty barvení grafůcs
dc.publisherAcademic Pressen
dc.relation.ispartofseriesJournal Of Combinatorial Theory Series Ben
dc.rightsPlný text není přístupný.cs
dc.rights© Academic Pressen
dc.rights.accessclosedAccessen
dc.subjectbarevnostcs
dc.subjectSchrijverův grafcs
dc.subjectKneserův grafcs
dc.subjecthranově kritický grafcs
dc.subject.translatedchromatic numberen
dc.subject.translatedSchrijver graphen
dc.subject.translatedKneser graphen
dc.subject.translatededge-critical graphen
dc.titleEdge-critical subgraphs of Schrijver graphsen
dc.title.alternativeHranově kritické podgrafy Schrijverových grafůcs
dc.typečlánekcs
dc.typearticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen

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