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A non-linear lower bound for planar epsilon-nets

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If you have a question about this talk, please contact Mustapha Amrani.

Discrete Analysis

After a brief description of the notion of epsilon-nets for range spaces and of the main known results about them, I will show that the minimum possible size of an epsilon-net for point objects and line (or rectangle)-ranges in the plane is (slightly) bigger than linear in 1/epsilon. This settles a problem raised by Matousek, Seidel and Welzl in 1990.

This talk is part of the Isaac Newton Institute Seminar Series series.

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