Multi-source trees: Algorithms for minimizing eccentricity cost metrics
| dc.contributor.author | Fragopoulou, P. | en |
| dc.contributor.author | Nikolopoulos, S. D. | en |
| dc.contributor.author | Palios, L. | en |
| dc.date.accessioned | 2015-11-24T17:00:59Z | |
| dc.date.available | 2015-11-24T17:00:59Z | |
| dc.identifier.issn | 0302-9743 | - |
| dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/10849 | |
| dc.rights | Default Licence | - |
| dc.subject | multi-source trees | en |
| dc.subject | eccentricity | en |
| dc.subject | weighted graphs | en |
| dc.subject | networks | en |
| dc.subject | communication | en |
| dc.subject | algorithms | en |
| dc.subject | complexity | en |
| dc.subject | spanning-trees | en |
| dc.subject | complexity | en |
| dc.title | Multi-source trees: Algorithms for minimizing eccentricity cost metrics | en |
| heal.abstract | We consider generalizations of the k-source sum of vertex eccentricity problem (k-SVET) and the k-source sum of source eccentricity problem (k-SSET) [1], which we call SDET and SSET, respectively, and provide efficient algorithms for their solution. The SDET (SSET, resp.) problem is defined as follows: given a weighted graph G and sets S of source nodes and D of destination nodes, which are subsets of the vertex set of G, construct a tree-subgraph T of G which connects all sources and destinations and minimizes the SDET cost function Sigma(d is an element of D) max(s is an element of S) d(T)(s, d) (the SSET cost function Sigma(s is an element of S) max(d is an element of D) dT(s, d), respectively). We describe an O(nm log n)-time algorithm for the SDET problem and thus, by symmetry, to the SSET problem, where n and m are the numbers of vertices and edges in G. The algorithm introduces efficient ways to identify candidates for the sought tree and to narrow down their number to O(m). Our algorithm readily implies O(nm log n)-time algorithms for the k-SVET and k-SSET problems as well. | en |
| heal.access | campus | - |
| heal.fullTextAvailability | TRUE | - |
| heal.journalName | Algorithms and Computation | en |
| heal.journalType | peer reviewed | - |
| heal.language | en | - |
| heal.publicationDate | 2005 | - |
| 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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