Edge-critical subgraphs of Schrijver graphs II: The general case
| dc.contributor.author | Kaiser, Tomáš | |
| dc.contributor.author | Stehlík, Matěj | |
| dc.date.accessioned | 2022-04-25T10:00:11Z | |
| dc.date.available | 2022-04-25T10:00:11Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | We give a simple combinatorial description of an (n-2k+2)-chromatic edge-critical subgraph of the Schrijver graph SG(n,k), itself an induced vertex-critical subgraph of the Kneser graph KG(n,k). This extends the main result of Kaiser and Stehlík (2020) to all values of k, and sharpens the classical results of Lovász and Schrijver from the 1970s. | en |
| dc.description.abstract-translated | We give a simple combinatorial description of an (n-2k+2)-chromatic edge-critical subgraph of the Schrijver graph SG(n,k), itself an induced vertex-critical subgraph of the Kneser graph KG(n,k). This extends the main result of Kaiser and Stehlík (2020) to all values of k, and sharpens the classical results of Lovász and Schrijver from the 1970s. | en |
| dc.format | 29 s. | cs |
| dc.format.mimetype | application/pdf | |
| dc.identifier.citation | KAISER, T. STEHLÍK, M. Edge-critical subgraphs of Schrijver graphs II: The general case. JOURNAL OF COMBINATORIAL THEORY SERIES B, 2022, roč. 152, č. January, s. 453-482. ISSN: 0095-8956 | cs |
| dc.identifier.document-number | 722420800006 | |
| dc.identifier.doi | 10.1016/j.jctb.2021.06.009 | |
| dc.identifier.issn | 0095-8956 | |
| dc.identifier.obd | 43933992 | |
| dc.identifier.uri | 2-s2.0-85109092920 | |
| dc.identifier.uri | http://hdl.handle.net/11025/47490 | |
| dc.language.iso | en | en |
| dc.project.ID | GA20-09525S/Strukturální vlastnosti tříd grafů charakterizovaných zakázanými indukovanými podgrafy | cs |
| dc.publisher | Academic Press Inc. | en |
| dc.relation.ispartofseries | Journal Of Combinatorial Theory Series B | en |
| dc.rights | © Elsevier | en |
| dc.rights.access | openAccess | en |
| dc.subject.translated | Kneser graph | en |
| dc.subject.translated | Schrijver graph | en |
| dc.subject.translated | edge-critical graph | en |
| dc.subject.translated | graph colouring | en |
| dc.title | Edge-critical subgraphs of Schrijver graphs II: The general case | en |
| dc.type | článek | cs |
| dc.type | article | en |
| dc.type.status | Peer-reviewed | en |
| dc.type.version | publishedVersion | en |
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