2 papers
math.GM2026
An incomplete attack on the upper bound of the unit distance problem
Steven Senger
This is an incomplete attempt to show that the upper bound of on the number unit distances determined by a large finite set of points in the plane is n…
math.CO2025
VC-dimension of subsets of Hamming graphs
Christopher Housholder, Layna Mangiapanello, Steven Senger
Following recent work on the VC-dimension of subsets of various pseudorandom graphs, we study the VC-dimension of Hamming graphs, which have proved somewhat resistant to the standa…