Rank-width of random graphs

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dc.contributor.authorLee, Choongbumko
dc.contributor.authorLee, Joonkyungko
dc.contributor.authorOum, Sang-ilko
dc.date.accessioned2013-03-12T18:38:59Z-
dc.date.available2013-03-12T18:38:59Z-
dc.date.created2012-08-08-
dc.date.created2012-08-08-
dc.date.created2012-08-08-
dc.date.issued2012-07-
dc.identifier.citationJOURNAL OF GRAPH THEORY, v.70, no.3, pp.339 - 347-
dc.identifier.issn0364-9024-
dc.identifier.urihttp://hdl.handle.net/10203/103163-
dc.description.abstractRank-width of a graph G, denoted by rw(G), is a width parameter of graphs introduced by Oum and Seymour [J Combin Theory Ser B 96 (2006), 514528]. We investigate the asymptotic behavior of rank-width of a random graph G(n, p). We show that, asymptotically almost surely, (i) if p?(0, 1) is a constant, then rw(G(n, p)) = ?n/3?-O(1), (ii) if , then rw(G(n, p)) = ?1/3?-o(n), (iii) if p = c/n and c>1, then rw(G(n, p))?rn for some r = r(c), and (iv) if p?c/n and c81, then rw(G(n, p))?2. As a corollary, we deduce that the tree-width of G(n, p) is linear in n whenever p = c/n for each c>1, answering a question of Gao [2006]. (c) 2011 Wiley Periodicals, Inc. J Graph Theory.-
dc.languageEnglish-
dc.publisherWILEY-BLACKWELL-
dc.titleRank-width of random graphs-
dc.typeArticle-
dc.identifier.wosid000305515100007-
dc.identifier.scopusid2-s2.0-84862846785-
dc.type.rimsART-
dc.citation.volume70-
dc.citation.issue3-
dc.citation.beginningpage339-
dc.citation.endingpage347-
dc.citation.publicationnameJOURNAL OF GRAPH THEORY-
dc.identifier.doi10.1002/jgt.20620-
dc.contributor.localauthorOum, Sang-il-
dc.contributor.nonIdAuthorLee, Choongbum-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorrank-width-
dc.subject.keywordAuthortree-width-
dc.subject.keywordAuthorclique-width-
dc.subject.keywordAuthorrandom graph-
dc.subject.keywordAuthorsharp threshold-
dc.subject.keywordPlusCLIQUE-WIDTH-
dc.subject.keywordPlusBRANCH-WIDTH-
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