On the Strongly Connected and Biconnected Components of the Complement of Graphs
dc.contributor.author | Nikolopoulos, Stavros D. | en |
dc.contributor.author | Palios, Leonidas | en |
dc.date.accessioned | 2015-11-24T17:00:48Z | |
dc.date.available | 2015-11-24T17:00:48Z | |
dc.identifier.issn | 1571-0653 | - |
dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/10818 | |
dc.rights | Default Licence | - |
dc.title | On the Strongly Connected and Biconnected Components of the Complement of Graphs | en |
heal.abstract | In this paper, we consider the problems of computing the strongly connected components and the biconnected components of the complement of a given graph. In particular, for a directed graph G on n vertices and m edges, we present a simple algorithm for computing the strongly connected components of G ? which runs in optimal O ( n + m ) time. The algorithm can be parallelized to yield an O ( log 2 n ) -time and O ( m 1.188 / log n ) -processor solution. As a byproduct, we obtain a very simple optimal parallel co-connectivity algorithm. Additionally, we establish properties which, for an undirected graph on n vertices and m edges, enable us to describe an O ( n + m ) -time algorithm for computing the biconnected components of G ? , which can be parallelized resulting in an algorithm that runs in O ( log n ) time using O ( ( n + m ) / log n ) processors. | en |
heal.access | campus | - |
heal.fullTextAvailability | TRUE | - |
heal.identifier.primary | 10.1016/j.endm.2004.03.044 | - |
heal.journalName | Electronic Notes in Discrete Mathematics | en |
heal.journalType | peer reviewed | - |
heal.language | en | - |
heal.publicationDate | 2004 | - |
heal.recordProvider | Πανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μηχανικών Ηλεκτρονικών Υπολογιστών και Πληροφορικής | el |
heal.type | journalArticle | - |
heal.type.el | Άρθρο Περιοδικού | el |
heal.type.en | Journal article | en |
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