Solving the k-center Problem Efficiently with a Dominating Set Algorithm

@article{Mihelic2005SolvingTK,
  title={Solving the k-center Problem Efficiently with a Dominating Set Algorithm},
  author={Jurij Mihelic and Borut Robic},
  journal={CIT},
  year={2005},
  volume={13},
  pages={225-234}
}
We present a polynomial time heuristic algorithm for the minimum dominating set problem. The algorithm can readily be used for solving the minimum α-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… CONTINUE READING
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