Graphs of small rank-width are pivot-minors of graphs of small tree-width

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dc.contributor.authorKwon, O-Joungko
dc.contributor.authorOum, Sang-ilko
dc.date.accessioned2014-08-29T02:06:54Z-
dc.date.available2014-08-29T02:06:54Z-
dc.date.created2014-05-20-
dc.date.created2014-05-20-
dc.date.issued2014-05-
dc.identifier.citationDISCRETE APPLIED MATHEMATICS, v.168, pp.108 - 118-
dc.identifier.issn0166-218X-
dc.identifier.urihttp://hdl.handle.net/10203/188969-
dc.description.abstractWe prove that every graph of rank-width k is a pivot-minor of a graph of tree-width at most 2k. We also prove that graphs of rank-width at most 1, equivalently distance-hereditary graphs, are exactly vertex-minors of trees, and graphs of linear rank-width at most 1 are precisely vertex-minors of paths. In addition, we show that bipartite graphs of rank-width at most 1 are exactly pivot-minors of trees and bipartite graphs of linear rank-width at most 1 are precisely pivot-minors of paths.-
dc.languageEnglish-
dc.publisherELSEVIER SCIENCE BV-
dc.titleGraphs of small rank-width are pivot-minors of graphs of small tree-width-
dc.typeArticle-
dc.identifier.wosid000334485900012-
dc.identifier.scopusid2-s2.0-84896710900-
dc.type.rimsART-
dc.citation.volume168-
dc.citation.beginningpage108-
dc.citation.endingpage118-
dc.citation.publicationnameDISCRETE APPLIED MATHEMATICS-
dc.identifier.doi10.1016/j.dam.2013.01.007-
dc.embargo.liftdate9999-12-31-
dc.embargo.terms9999-12-31-
dc.contributor.localauthorOum, Sang-il-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorRank-width-
dc.subject.keywordAuthorLinear rank-width-
dc.subject.keywordAuthorVertex-minor-
dc.subject.keywordAuthorPivot-minor-
dc.subject.keywordAuthorTree-width-
dc.subject.keywordAuthorPath-width-
dc.subject.keywordAuthorDistance-hereditary-
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