48 citations · 110 across the 37 of their papers we have counts for
5 papers · 1 filter
When are off-diagonal hypergraph Ramsey numbers polynomial?
David Conlon, Jacob Fox, Benjamin Gunby +5
A natural open problem in Ramsey theory is to determine those -graphs for which the off-diagonal Ramsey number grows polynomially with . We make substan…
Big line or big convex polygon
David Conlon, Jacob Fox, Xiaoyu He +3
Let be the minimum such that every -element point set in the plane contains either collinear members or points in convex position. We prove that th…
Enumeration of intersection graphs of -monotone curves
Jacob Fox, Janos Pach, Andrew Suk
A curve in the plane is -monotone if every vertical line intersects it at most once. A family of curves are called pseudo-segments if every pair of them have at most one point i…
On off-diagonal hypergraph Ramsey numbers
David Conlon, Jacob Fox, Benjamin Gunby +4
A fundamental problem in Ramsey theory is to determine the growth rate in terms of of the Ramsey number of a fixed -uniform hypergraph versus the compl…
A question of Erdős and Graham on Egyptian fractions
David Conlon, Jacob Fox, Xiaoyu He +4
Answering a question of Erdős and Graham, we show that for each fixed positive rational number the number of ways to write as a sum of reciprocals of distinct positive inte…