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- W2949913785 abstract "Let $P$ be a finite point set in the plane. A emph{$c$-ordinary triangle} in $P$ is a subset of $P$ consisting of three non-collinear points such that each of the three lines determined by the three points contains at most $c$ points of $P$. Motivated by a question of ErdH{o}s, and answering a question of de Zeeuw, we prove that there exists a constant $c>0$ such that $P$ contains a $c$-ordinary triangle, provided that $P$ is not contained in the union of two lines. Furthermore, the number of $c$-ordinary triangles in $P$ is $Omega(|P|)$." @default.
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- W2949913785 date "2017-01-27" @default.
- W2949913785 modified "2023-09-27" @default.
- W2949913785 title "On the Existence of Ordinary Triangles" @default.
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