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dc.contributor.authorNikolopoulos, S. D.en
dc.contributor.authorPalios, L.en
dc.date.accessioned2015-11-24T17:00:48Z-
dc.date.available2015-11-24T17:00:48Z-
dc.identifier.issn0302-9743-
dc.identifier.urihttps://olympias.lib.uoi.gr/jspui/handle/123456789/10817-
dc.rightsDefault Licence-
dc.subjectperfectly orderable graphsen
dc.subjectcomplexityen
dc.titleRecognizing HHD-free and Welsh-Powell opposition graphsen
heal.typejournalArticle-
heal.type.enJournal articleen
heal.type.elΆρθρο Περιοδικούel
heal.languageen-
heal.accesscampus-
heal.recordProviderΠανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μηχανικών Ηλεκτρονικών Υπολογιστών και Πληροφορικήςel
heal.publicationDate2004-
heal.abstractIn this paper, we consider the recognition problem on two classes of perfectly orderable graphs, namely, the HHD-free and the Welsh-Powell opposition graphs (or WPO-graphs). In particular, we prove properties of the chordal completion of a graph and show that " modified version of the classic linear-time algorithm for testing for " perfect elimination ordering can be efficiently used to determine in O(min{nmalpha(n), nm + n(2) log n}) time whether a given graph G on n vertices and m edges contains a house or a hole; this leads to an O(min{nmalpha(n), nm+n(2) log n})-time and O(n+m)-space algorithm for recognizing HHD-free graphs. We also show that determining whether the complement (G) over bar of the graph G contains a house or a hole can be efficiently resolved in O(nm) time using O(n(2)) space, this in turn leads to an O(nm)-time and O(n(2))-space algorithm for recognizing WPO-graphs. The previously best algorithms for recognizing HHD-free and WPO-graphs required O(n(3)) time and O(n(2)) space.en
heal.journalNameGraph -Theoretic Concepts in Computer Scienceen
heal.journalTypepeer reviewed-
heal.fullTextAvailabilityTRUE-
Appears in Collections:Άρθρα σε επιστημονικά περιοδικά ( Ανοικτά)

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