The reverse greedy algorithm for the metric k-median problem

Marek Chrobak; Claire Kenyon; Neal E. Young

doi:10.1016/j.ipl.2005.09.009

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The reverse greedy algorithm for the metric k-median problem

Marek Chrobak·Claire Kenyon·Neal E. Young

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Abstract

The Reverse Greedy algorithm (RGreedy) for the k-median problem works as follows. It starts by placing facilities on all nodes. At each step, it removes a facility to minimize the resulting total distance from the customers to the remaining facilities. It stops when k facilities remain. We prove that, if the distance function is metric, then the approximation ratio of RGreedy is between ?(log n/ log log n) and O(log n).

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Marek Chrobak, Claire Kenyon, Neal E. Young. 2005-04-27. The reverse greedy algorithm for the metric k-median problem. https://doi.org/10.1016/j.ipl.2005.09.009

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