Labeling Points with Circles

Alexander Wolff
Institut für Informatik
Freie Universität Berlin
Takustr. 9, D-14195 Berlin
email: awolff@inf.fu-berlin.de

Tycho Strijk
Department of Computer Science
Utrecht University
email: tycho@cs.uu.nl

Report B 99-08
April 1999

We present a new algorithm for labeling points with circles of equal size. Our algorithm maximizes the label size. It improves the approximation factor of the only known algorithm for this problem by more than 50% to about 1/20. At the same time, our algorithm keeps the O(n log n) time bound of its predecessor. In addition, we show that the decision problem is NP-hard and that it is NP-hard to approximate the maximum label size beyond a certain constant factor.

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