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Optimal parallel all-nearest-neighbors using the well-separated pair decomposition

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1 Author(s)
Callahan, P.B. ; Dept. of Comput. Sci., Johns Hopkins Univ., Baltimore, MD, USA

We present an optimal parallel algorithm to construct the well-separated pair decomposition of a point set P in Rd. We show how this leads to a deterministic optimal O(log n) time parallel algorithm for finding the k nearest neighbors of each point in P, where k is a constant. We discuss several additional applications of the well-separated pair decomposition for which we can derive faster parallel algorithms

Published in:

Foundations of Computer Science, 1993. Proceedings., 34th Annual Symposium on

Date of Conference:

3-5 Nov 1993