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What and Who

A faster PTAS for the k-disc cover problem in Euclidean space

Rouven Naujoks
Max-Planck-Institut für Informatik - D 1
AG1 Mittagsseminar (own work)
AG 1  
AG Audience
English

Date, Time and Location

Friday, 22 September 2006
13:30
30 Minutes
E1 4
024
Saarbrücken

Abstract

Suppose you are given n points in d-dimensional Euclidean space. The k-disc cover problem is to find k balls covering these n points while minimizing the sum of the balls' volumes. We show that there is a polynomial time approximation scheme for this problem that runs in time linear in n and polynomial in k. This improves upon the previously best known running time which is a (large) polynomial in n.

Contact

Rouven Naujoks
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Tags, Category, Keywords and additional notes

computational geometry

Rouven Naujoks, 09/15/2006 12:24
Rouven Naujoks, 09/15/2006 12:24 -- Created document.