Frank de Zeeuw

activity

20082016

most citedPolynomials vanishing on Cartesian products: The Elekes-Szabó Theorem revisited

45 citations · 145 across the 13 of their papers we have counts for

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2 papers · 1 filter

math.MG2015★ 6 cited

Distinct distances between points and lines

Micha Sharir, Shakhar Smorodinsky, Claudiu Valculescu +1

We show that for $m$ points and $n$ lines in the real plane, the number of distinct distances between the points and the lines is $Ω (m^{1/5} n^{3/5})$ , as long as $m^{1/2}\le n\le m…

math.MG2013★ 32 cited

Distinct distances on algebraic curves in the plane

János Pach, Frank de Zeeuw

Let $P$ be a set of $n$ points in the real plane contained in an algebraic curve $C$ of degree $d$ . We prove that the number of distinct distances determined by $P$ is at least $c_…