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An Improved Bound on the Number of Unit Area Triangles

Published 26 Jan 2010 in cs.CG | (1001.4764v1)

Abstract: 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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