Edge-critical subgraphs of Schrijver graphs
dc.contributor.author | Kaiser, Tomáš | |
dc.contributor.author | Stehlík, Matěj | |
dc.date.accessioned | 2020-09-14T10:00:19Z | |
dc.date.available | 2020-09-14T10:00:19Z | |
dc.date.issued | 2020 | |
dc.description.abstract-translated | For 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.format | 6 s. | cs |
dc.format.mimetype | application/pdf | |
dc.identifier.citation | KAISER, 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-number | 543403800009 | |
dc.identifier.doi | 10.1016/j.jctb.2020.02.004 | |
dc.identifier.issn | 0095-8956 | |
dc.identifier.obd | 43929756 | |
dc.identifier.uri | 2-s2.0-85079597052 | |
dc.identifier.uri | http://hdl.handle.net/11025/39641 | |
dc.language.iso | en | en |
dc.project.ID | GA17-04611S/Ramseyovské aspekty barvení grafů | cs |
dc.publisher | Academic Press | en |
dc.relation.ispartofseries | Journal Of Combinatorial Theory Series B | en |
dc.rights | Plný text není přístupný. | cs |
dc.rights | © Academic Press | en |
dc.rights.access | closedAccess | en |
dc.subject | barevnost | cs |
dc.subject | Schrijverův graf | cs |
dc.subject | Kneserův graf | cs |
dc.subject | hranově kritický graf | cs |
dc.subject.translated | chromatic number | en |
dc.subject.translated | Schrijver graph | en |
dc.subject.translated | Kneser graph | en |
dc.subject.translated | edge-critical graph | en |
dc.title | Edge-critical subgraphs of Schrijver graphs | en |
dc.title.alternative | Hranově kritické podgrafy Schrijverových grafů | cs |
dc.type | článek | cs |
dc.type | article | en |
dc.type.status | Peer-reviewed | en |
dc.type.version | publishedVersion | en |