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The union of unit balls has quadratic complexity, even if they all contain the origin

Herve Bronnimann·Olivier Devillers
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Abstract

We provide a lower bound construction showing that the union of unit balls in three-dimensional space has quadratic complexity, even if they all contain the origin. This settles a conjecture of Sharir.

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Herve Bronnimann, Olivier Devillers. 1999-07-16. The union of unit balls has quadratic complexity, even if they all contain the origin. https://arxiv.org/abs/cs/9907025

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