On low rank-width colorings
DC Field | Value | Language |
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dc.contributor.author | Kwon, O jung | - |
dc.contributor.author | Pilipczuk, Michal | - |
dc.contributor.author | Siebertz, Sebastian | - |
dc.date.accessioned | 2023-08-16T08:12:00Z | - |
dc.date.available | 2023-08-16T08:12:00Z | - |
dc.date.created | 2023-07-19 | - |
dc.date.issued | 2020-01 | - |
dc.identifier.issn | 0195-6698 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/189310 | - |
dc.description.abstract | We introduce the concept of low rank-width colorings, generalizing the notion of low tree-depth colorings introduced by Nesetril and Ossona de Mendez (2008). We say that a class C of graphs admits low rank-width colorings if there exist functions N: N N and Q: N ( )-> N such that for all p is an element of N, every graph G is an element of C can be vertex colored with at most N(p) colors such that the union of any i <= p color classes induces a subgraph of rank-width at most Q(i).,Graph classes admitting low rank-width colorings strictly generalize graph classes admitting low tree-depth colorings and graph classes of bounded rank-width. We prove that for every graph class C of bounded expansion and every positive integer r, the class {G(r): G is an element of C}I of rth powers of graphs from' admits low rank-width colorings. On the negative side, we show that the classes of interval graphs and permutation graphs do not admit low rank-width colorings. As interesting side properties, we prove that every hereditary graph class admitting low rank-width colorings has the Erodos-Hajnal property and is chi-bounded. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD | - |
dc.title | On low rank-width colorings | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Kwon, O jung | - |
dc.identifier.doi | 10.1016/j.ejc.2019.103002 | - |
dc.identifier.scopusid | 2-s2.0-85070637206 | - |
dc.identifier.wosid | 000491631600001 | - |
dc.identifier.bibliographicCitation | EUROPEAN JOURNAL OF COMBINATORICS, v.83 | - |
dc.relation.isPartOf | EUROPEAN JOURNAL OF COMBINATORICS | - |
dc.citation.title | EUROPEAN JOURNAL OF COMBINATORICS | - |
dc.citation.volume | 83 | - |
dc.type.rims | ART | - |
dc.type.docType | 정기학술지(Article(Perspective Article포함)) | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | N | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.identifier.url | https://www.sciencedirect.com/science/article/pii/S0195669819301039?via%3Dihub | - |
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