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

collaborators

Showing 2013Show all

2 papers · 1 filter

math.CO2013★ 2 cited

Few distinct distances implies no heavy lines or circles

Adam Sheffer, Joshua Zahl, Frank de Zeeuw

We study the structure of planar point sets that determine a small number of distinct distances. Specifically, we show that if a set P of n points determines o(n) distinct distance…

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_…