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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.issn0196-6774-
dc.identifier.urihttps://olympias.lib.uoi.gr/jspui/handle/123456789/10816-
dc.rightsDefault Licence-
dc.subjectparallel algorithmsen
dc.subjectperfectly orderable graphsen
dc.subjectp-4-comparability graphsen
dc.subjectp-4-componentsen
dc.subjectrecognitionen
dc.subjectacyclic p-4-transitive orientationen
dc.subjectpram computationen
dc.subjectperfectly orderable graphsen
dc.subjectrecognition algorithmen
dc.subjectpermutation graphsen
dc.subjectcomparabilityen
dc.subjectcographsen
dc.subjectcomplexityen
dc.titleParallel algorithms for P-4-comparability graphsen
heal.typejournalArticle-
heal.type.enJournal articleen
heal.type.elΆρθρο Περιοδικούel
heal.identifier.primaryDOI 10.1016/j.jalgor.2003.11.005-
heal.languageen-
heal.accesscampus-
heal.recordProviderΠανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μηχανικών Ηλεκτρονικών Υπολογιστών και Πληροφορικήςel
heal.publicationDate2004-
heal.abstractWe consider two problems pertaining to P-4-comparability graphs, namely, the problem of recognizing whether a simple undirected graph is a P-4-comparability graph and the problem of producing an acyclic P-4-transitive orientation of such a graph. Sequential algorithms for these problems have been presented by Hoang and Reed and very recently by Raschle and Simon, and by Nikolopoulos and Palios. In this paper, we establish properties of P-4-comparability graphs which allow us to describe parallel algorithms for the recognition and orientation problems on this class of graphs; for a graph on n vertices and in edges, our algorithms run in O(nm) time and require O(nm/log n) processors on the CREW PRAM model. Since the currently fastest sequential algorithms for these problems run in O(nm) time, our algorithms are cost-efficient; moreover, to the best of our knowledge, this is the first attempt to introduce parallelization in problems involving P-4-comparability graphs. Our approach relies on the parallel computation and proper orientation of the P-4-components of the input graph. (C) 2003 Elsevier Inc. All rights reserved.en
heal.journalNameJournal of Algorithmsen
heal.journalTypepeer reviewed-
heal.fullTextAvailabilityTRUE-
Appears in Collections:Άρθρα σε επιστημονικά περιοδικά ( Ανοικτά)

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