The Weisfeiler-Leman Dimension of Distance-Hereditary Graphs
dc.contributor.author | Gavrilyuk, Alexander | |
dc.contributor.author | Nedela, Roman | |
dc.contributor.author | Ponomarenko, Ilia | |
dc.date.accessioned | 2023-09-04T10:00:23Z | |
dc.date.available | 2023-09-04T10:00:23Z | |
dc.date.issued | 2023 | |
dc.description.abstract | Graf nazýváme distančně dědičný když v libovolném souvislém indukovaném podgrafe je vzdálenost dvou vrcholů rovnaká jako v původním grafu. V článku dokážeme, že WL-dimenze distnčně dědičných grafů je dva. | cs |
dc.description.abstract-translated | A graph is said to be distance-hereditary if the distance function in every connected induced subgraph is the same as in the graph itself. We prove that the ordinary Weisfeiler-Leman algorithm tests the isomorphism of any two graphs if one of them is distance-hereditary; more precisely, the Weisfeiler-Leman dimension of the class of finite distance-hereditary graphs is equal to 2. The previously best known upper bound for the dimension was 7. | en |
dc.format | ||
dc.format | 19 s. | cs |
dc.format.mimetype | application/pdf | |
dc.identifier.citation | GAVRILYUK, A. NEDELA, R. PONOMARENKO, I. The Weisfeiler-Leman Dimension of Distance-Hereditary Graphs. GRAPHS AND COMBINATORICS, 2023, roč. 39, č. 4, s. nestránkováno. ISSN: 0911-0119 | cs |
dc.identifier.document-number | 1025337200001 | |
dc.identifier.doi | 10.1007/s00373-023-02683-3 | |
dc.identifier.issn | 0911-0119 | |
dc.identifier.obd | 43940051 | |
dc.identifier.uri | 2-s2.0-85165259992 | |
dc.identifier.uri | http://hdl.handle.net/11025/53899 | |
dc.language.iso | ||
dc.language.iso | en | en |
dc.publisher | Springer | en |
dc.relation.ispartofseries | Graphs And Combinatorics | en |
dc.rights | © The Author(s) | en |
dc.rights.access | openAccess | en |
dc.subject | distančně dědičné grafy | cs |
dc.subject | WL-dimenze | cs |
dc.subject | isomorfismus grafů | cs |
dc.subject.translated | distance-hereditary graph | en |
dc.subject.translated | Weisfeiler-Leman dimension | en |
dc.subject.translated | graph isomorphism | en |
dc.title | The Weisfeiler-Leman Dimension of Distance-Hereditary Graphs | en |
dc.title.alternative | WL-dimenze distančně dědičných grafů | cs |
dc.type | článek | cs |
dc.type | article | en |
dc.type.status | ||
dc.type.status | Peer-reviewed | en |
dc.type.version | publishedVersion | en |
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