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Reductions among high dimensional proximity problems
Conference proceeding

Reductions among high dimensional proximity problems

Ashish Goel, Piotr Indyk and Kasturi Varadarajan
Proceedings of the twelfth annual ACM-SIAM symposium on discrete algorithms, pp.769-778
SODA '01
01/09/2001
DOI: 10.1145/301250.301367

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Abstract

We present improved running times for a wide range of approximate high dimensional proximity problems. We obtain subquadratic running time for each of these problems. These improved running times are obtained by reduction to Nearest Neighbour queries. The problems we consider in this paper are Approximate Diameter, Approximate Furthest Neighbours, Approximate Discrete Center, Approximate Metric Facility Location, Approximate Bottleneck Matching, and Approximate Minimum Weight Matching.

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