8 citations · 8 across the 7 of their papers we have counts for
8 papers · 1 filter
On the Diameter of Finite Sidon Sets
Daniel Carter, Zach Hunter, Kevin O'Bryant
We prove that the diameter of a Sidon set (also known as a Babcock sequence, Golomb ruler, or set) with elements is at least where , a…
On a method of Alweiss
Zach Hunter
Recently, Alweiss settled Hindman's conjecture over the rationals. In this paper, we provide our own exposition of Alweiss' result, and show how to modify his method to also show t…
Induced -free subgraphs with large average degree
Xiying Du, António Girão, Zach Hunter +2
We prove that there exists a constant so that, for all , if has average degree at least and does not contain as a subgraph then it…
A new upper bound to (a variant of) the pancake problem
Zach Hunter
The "pancake problem" asks how many prefix reversals are sufficient to sort any permutation to the identity. We write to denote this quantity. The best…
Corner-free sets via the torus
Zach Hunter
A corner is a triple of points in of the form where . One can think of them as being 2D-analogues to 3-term arithmetic progressions. In…
A short proof that
Zach Hunter
Here we present a short proof that the two-color van der Waerden number is bounded from below by . Previous work has already shown that a superpolynomial lowe…