A linear time deterministic algorithm to find a small subset that approximates the centroid
نویسندگان
چکیده
Given a set of points S in any dimension, we describe a deterministic algorithm for finding a T ⊂ S, |T | = O(1/ε) such that the centroid of T approximates the centroid of S within a factor 1+ ε for any fixed ε > 0. We achieve this in linear time by an efficient derandomization of the algorithm in [M. Inaba, N. Katoh, H. Imai, Applications of weighted Voronoi diagrams and randomization to variance-based k-clustering (extended abstract), in: Proceedings of the Tenth Annual Symposium on Computational Geometry, 1994, pp. 332–339]. © 2007 Elsevier B.V. All rights reserved.
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عنوان ژورنال:
- Inf. Process. Lett.
دوره 105 شماره
صفحات -
تاریخ انتشار 2007