Please use this identifier to cite or link to this item: https://olympias.lib.uoi.gr/jspui/handle/123456789/12674
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dc.contributor.authorHeggernes, P.en
dc.contributor.authorLokshtanov, D.en
dc.contributor.authorMihai, R.en
dc.contributor.authorPapadopoulos, C.en
dc.date.accessioned2015-11-24T17:22:51Z-
dc.date.available2015-11-24T17:22:51Z-
dc.identifier.issn0895-4801-
dc.identifier.urihttps://olympias.lib.uoi.gr/jspui/handle/123456789/12674-
dc.rightsDefault Licence-
dc.subjectcutwidthen
dc.subjectbisection widthen
dc.subjectthreshold graphsen
dc.subjectsplit graphsen
dc.subjectmin-cuten
dc.subjectlinear arrangementen
dc.subjectinterval-graphsen
dc.subjectlayout problemsen
dc.subjecttreesen
dc.subjectalgorithmen
dc.titleCutwidth of Split Graphs and Threshold Graphsen
heal.typejournalArticle-
heal.type.enJournal articleen
heal.type.elΆρθρο Περιοδικούel
heal.identifier.primaryDoi 10.1137/080741197-
heal.identifier.secondary<Go to ISI>://000295398200024-
heal.identifier.secondaryhttp://epubs.siam.org/sidma/resource/1/sjdmec/v25/i3/p1418_s1?isAuthorized=no-
heal.languageen-
heal.accesscampus-
heal.recordProviderΠανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικώνel
heal.publicationDate2011-
heal.abstractWe give a linear-time algorithm to compute the cutwidth of threshold graphs, thereby resolving the computational complexity of cutwidth on this graph class. Threshold graphs are a well-studied subclass of interval graphs and of split graphs, both of which are unrelated subclasses of chordal graphs. To complement our result, we show that cutwidth is NP-complete on split graphs, and consequently also on chordal graphs. The cutwidth of interval graphs is still open, and only very few graph classes are known so far on which polynomial-time cutwidth algorithms exist. Thus we contribute to define the border between graph classes on which cutwidth is polynomially solvable and on which it remains NP-complete.en
heal.publisherSociety for Industrial and Applied Mathematicsen
heal.journalNameSiam Journal on Discrete Mathematicsen
heal.journalTypepeer reviewed-
heal.fullTextAvailabilityTRUE-
Appears in Collections:Άρθρα σε επιστημονικά περιοδικά ( Ανοικτά). ΜΑΘ

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