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- W4289703739 abstract "We show that for any finite set $P$ of points in the plane and $epsilon>0$ there exist $displaystyle Oleft(frac{1}{epsilon^{3/2+gamma}}right)$ points in ${mathbb{R}}^2$, for arbitrary small $gamma>0$, that pierce every convex set $K$ with $|Kcap P|geq epsilon |P|$. This is the first improvement of the bound of $displaystyle Oleft(frac{1}{epsilon^2}right)$ that was obtained in 1992 by Alon, B'{a}r'{a}ny, F{u}redi and Kleitman for general point sets in the plane." @default.
- W4289703739 created "2022-08-04" @default.
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- W4289703739 date "2018-08-08" @default.
- W4289703739 modified "2023-10-17" @default.
- W4289703739 title "An Improved Bound for Weak Epsilon-Nets in the Plane" @default.
- W4289703739 doi "https://doi.org/10.48550/arxiv.1808.02686" @default.
- W4289703739 hasPublicationYear "2018" @default.
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