Minimal separators in P-4-sparse graphs
| dc.contributor.author | Nikolopoulos, S. D. | en |
| dc.contributor.author | Palios, L. | en |
| dc.date.accessioned | 2015-11-24T17:01:22Z | |
| dc.date.available | 2015-11-24T17:01:22Z | |
| dc.identifier.issn | 0012-365X | - |
| dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/10913 | |
| dc.rights | Default Licence | - |
| dc.subject | minimal separation | en |
| dc.subject | p-4-sparse graphs | en |
| dc.subject | cographs | en |
| dc.subject | perfect graphs | en |
| dc.subject | linear-time | en |
| dc.subject | recognition algorithm | en |
| dc.subject | p4-sparse graphs | en |
| dc.title | Minimal separators in P-4-sparse graphs | en |
| heal.abstract | In this paper, we determine the minimal separators of P-4-sparse graphs and establish bounds on their number. Specifically, we show that a P-4-sparse graph G on n vertices and to edges has fewer than 2n/3 minimal separators of total description size at most 4m/3. The bound on the number of minimal separators is tight and is also tight for the class of cographs, a well known subclass of the P-4-sparse graphs. Our results enable us to present a linear-time and linear-space algorithm for computing the number of minimal separators of a given P-4-sparse graph; the algorithm can be modified to report the minimal separators of the input graph in linear time and space as well. (c) 2006 Elsevier B.V. All rights reserved. | en |
| heal.access | campus | - |
| heal.fullTextAvailability | TRUE | - |
| heal.identifier.primary | DOI 10.1016/j.disc.2005.12.008 | - |
| heal.journalName | Discrete Mathematics | en |
| heal.journalType | peer reviewed | - |
| heal.language | en | - |
| heal.publicationDate | 2006 | - |
| 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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