neal young / Chrobak06Reverse

Information Processing Letters 97:6872(2006); COCOON'05The 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 \(\Omega(\log n/ \log \log n)\) and \(O(\log n)\).Journal version of [2005].
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