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A heuristic for the p-center problem in graphs. (English) Zbl 0637.05020
The author gives an algorithm of \(O(n^ 2\log n)\) running time with a worst-case error ratio of 2 for the p-centerproblem in a connected graph of n nodes and m edges with edge lengths and vertex weights. A slight modification of the algorithm provides a ratio 2 also for the absolute p- center problem with running time \(O(mn^ 2\log n)\). Both heuristics are best possible.
Reviewer: H.T.Lau

MSC:
05C99 Graph theory
68R10 Graph theory (including graph drawing) in computer science
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