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SIAMCOMP
1998

Randomized Data Structures for the Dynamic Closest-Pair Problem

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Randomized Data Structures for the Dynamic Closest-Pair Problem
We describe a new randomized data structure, the sparse partition, for solving the dynamic closest-pair problem. Using this data structure the closest pair of a set of n points in D-dimensional space, for any fixed D, can be found in constant time. If a frame containing all the points is known in advance, and if the floor function is available at unit cost, then the data structure supports insertions into and deletions from the set in expected O(log n) time and requires expected O(n) space. This method is more efficient than any deterministic algorithm for solving the problem in
Mordecai J. Golin, Rajeev Raman, Christian Schwarz
Added 23 Dec 2010
Updated 23 Dec 2010
Type Journal
Year 1998
Where SIAMCOMP
Authors Mordecai J. Golin, Rajeev Raman, Christian Schwarz, Michiel H. M. Smid
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