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Solving the k-center Problem Efficiently with a Dominating Set Algorithm
Journal Title CIT. Journal of Computing and Information Technology
Journal Abbreviation CIT
Publisher Group University of Zagreb
Website http://cit.srce.unizg.hr/index.php/CIT
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Title Solving the k-center Problem Efficiently with a Dominating Set Algorithm
Authors Mihelič, Jurij; Robič, Borut
Abstract We present a polynomial time heuristic algorithm for the minimum dominating set problem. The algorithm can readily be used for solving the minimum alpha-all-neighbor dominating set problem and the minimum set cover problem. We apply the algorithm in heuristic solving the minimum k-center problem in polynomial time. Using a standard set of 40 test problems we experimentally show that our k-center algorithm performs much better than other well-known heuristics and is competitive with the best known (non-polynomial time) algorithms for solving the k-center problem in terms of average quality and deviation of the results as well as execution time.
Publisher University of Zagreb, University Computing Centre - SRCE
Date 1970-01-01
Source Journal of Computing and Information Technology Vol 13, No 3 (2005)
Rights CIT. Journal of Computing and Information Technology is an open access journal.Authors who publish with this journal agree to the following terms:Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work´s authorship and initial publication in this journal.Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal´s published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).

 

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