8 citations · 11 across the 15 of their papers we have counts for
5 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 notion of twins
Zach Hunter
Given a combinatorial structure, a ``twin'' is a pair of disjoint substructures which are isomorphic (or look the same in some sense). In recent years, there have been many problem…
Lower bounds for multicolor van der Waerden numbers
Zach Hunter
We give an exponential improvement to the diagonal van der Waerden numbers for colors.