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arxiv: 1001.4764 · v1 · submitted 2010-01-26 · 💻 cs.CG

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An Improved Bound on the Number of Unit Area Triangles

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classification 💻 cs.CG
keywords boundepsilonnumbertrianglesareadetermineddumitrescuimproved
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We show that the number of unit-area triangles determined by a set of $n$ points in the plane is $O(n^{9/4+\epsilon})$, for any $\epsilon>0$, improving the recent bound $O(n^{44/19})$ of Dumitrescu et al.

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