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dc.contributor.authorNikolopoulos, S. D.en
dc.date.accessioned2015-11-24T17:00:17Z-
dc.date.available2015-11-24T17:00:17Z-
dc.identifier.issn0166-218X-
dc.identifier.urihttps://olympias.lib.uoi.gr/jspui/handle/123456789/10740-
dc.rightsDefault Licence-
dc.subjectpermutation graphsen
dc.subjectperfect graphsen
dc.subjectcoloring problemen
dc.subjectparallel algorithmsen
dc.subjecttreesen
dc.subjectcomplexityen
dc.subjectpram modelsen
dc.subjectmaximal independent setsen
dc.subjectfast algorithmsen
dc.titleColoring permutation graphs in parallelen
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.publicationDate2002-
heal.abstractA coloring of a graph G is an assignment of colors to its vertices so that no two adjacent vertices have the same color. We study the problem of coloring permutation graphs using certain properties of the lattice representation of a permutation and relationships between permutations, directed acyclic graphs and rooted trees having specific key properties. We propose an efficient parallel algorithm which colors an n-node permutation graph in O(log(2) n) time using O(n(2)/log n) processors on the CREW PRAM model. Specifically, given a permutation pi we construct a tree T-*[pi], which we call coloring-permutation tree, using certain combinatorial properties of pi. We show that the problem of coloring a permutation graph is equivalent to finding vertex levels in the coloring-permutation tree. (C) 2002 Elsevier Science B.V. All rights reserved.en
heal.journalNameDiscrete Applied Mathematicsen
heal.journalTypepeer reviewed-
heal.fullTextAvailabilityTRUE-
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