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Eppstein's bound on intersecting triangles revisited (0804.4415v2)
Published 28 Apr 2008 in cs.CG
Abstract: Let S be a set of n points in the plane, and let T be a set of m triangles with vertices in S. Then there exists a point in the plane contained in Omega(m3 / (n6 log2 n)) triangles of T. Eppstein (1993) gave a proof of this claim, but there is a problem with his proof. Here we provide a correct proof by slightly modifying Eppstein's argument.