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dc.contributor.authorNikolopoulos, S. D.en
dc.contributor.authorPalios, L.en
dc.date.accessioned2015-11-24T17:00:18Z-
dc.date.available2015-11-24T17:00:18Z-
dc.identifier.issn0302-9743-
dc.identifier.urihttps://olympias.lib.uoi.gr/jspui/handle/123456789/10741-
dc.rightsDefault Licence-
dc.subjectperfectly orderable graphen
dc.subjectcomparability graphen
dc.subjectp-4-comparability graphen
dc.subjectrecognitionen
dc.subjectp-4-componenten
dc.subjectp-4-transitive orientationen
dc.subjectperfectly orderable graphsen
dc.subjectcomparabilityen
dc.subjectalgorithmsen
dc.titleOn the recognition of P-4-comparability 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.publicationDate2002-
heal.abstractWe consider the problem of recognizing whether a simple undirected graph is a P-4-comparability graph. This problem has been considered by Hoang and Reed who described an O(n(4))-time algorithm for its solution, where n is the number of vertices of the given graph. Faster algorithms have recently been presented by Raschle and Simon and by Nikolopoulos and Palios; the time complexity of both algorithms is O(n + m(2)), where m is the number of edges of the graph. In this paper, we describe an O(n m)-time, O(n + m)-space algorithm for the recognition of P-4-comparability graphs. The algorithm computes the P(4)s of the input graph G by means of the BFS-trees of the complement of G rooted at each of its vertices, without however explicitly computing the complement of G. Our algorithm is simple, uses simple data structures, and leads to an O(n m)-time algorithm for computing an acyclic P-4-transitive orientation of a P-4-comparability graph.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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