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dc.contributor.authorNikolopoulos, S. D.en
dc.contributor.authorPalios, L.en
dc.date.accessioned2015-11-24T17:01:02Z-
dc.date.available2015-11-24T17:01:02Z-
dc.identifier.issn0166-218X-
dc.identifier.urihttps://olympias.lib.uoi.gr/jspui/handle/123456789/10859-
dc.rightsDefault Licence-
dc.subjectperfect graphsen
dc.subjectcographsen
dc.subjectcotreeen
dc.subjectconnected and co-connected componentsen
dc.subjectparallel algorithmsen
dc.subjectparallel recognitionen
dc.subjectcertifying algorithmsen
dc.subjectcomplement reducible graphsen
dc.subjectp4-sparse graphsen
dc.subjectlinear-timeen
dc.subjectalgorithmen
dc.titleEfficient parallel recognition of cographsen
heal.typejournalArticle-
heal.type.enJournal articleen
heal.type.elΆρθρο Περιοδικούel
heal.identifier.primaryDOI 10.1016/j.dam.2005.02.004-
heal.languageen-
heal.accesscampus-
heal.recordProviderΠανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μηχανικών Ηλεκτρονικών Υπολογιστών και Πληροφορικήςel
heal.publicationDate2005-
heal.abstractIn this paper, we establish structural properties for the class of complement reducible graphs or cographs, which enable us to describe efficient parallel algorithms for recognizing cographs and for constructing the cotree of a graph if it is a cograph; if the input graph is not a cograph, both algorithms return an induced P-4. For a graph on n vertices and m edges, both our cograph recognition and cotree construction algorithms run in O(log(2) n) time and require O((n + m)l log n) processors on the EREW PRAM model of computation. Our algorithms are motivated by the work of Dahlhaus (Discrete Appl. Math. 57 (1995) 29-44) and take advantage of the optimal O(log n)-time computation of the coconnected components of a general graph (Theory Comput. Systems 37 (2004) 527-546) and of an optimal O(log n)-time parallel algorithm for computing the connected components of a cograph, which we present. Our results improve upon the previously known linear-processor parallel algorithms for the problems (Discrete Appl. Math. 57 (1995) 29-44; J. Algorithms 15 (1993) 284-313): we achieve a better time-processor product using a weaker model of computation and we provide a certificate (an induced P-4 whenever our algorithms decide that the input graphs are not cographs. (c) 2005 Elsevier B.V. All rights reserved.en
heal.journalNameDiscrete Applied Mathematicsen
heal.journalTypepeer reviewed-
heal.fullTextAvailabilityTRUE-
Appears in Collections:Άρθρα σε επιστημονικά περιοδικά ( Ανοικτά)

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