Andrew Suk

collaborators

2 papers

math.CO2026

On the maximum number of $k$ -holes in point sets with no $(k + 1)$ -hole

Andrew Suk, Su Zhou

The classical problem of ErdÅs asks for the minimum number of empty convex $k$ -gons determined by an $n$ -element point set in the plane. The celebrated empty hexagon theorem, prov…

math.CO2024

A note on the no- $(d + 2)$ -on-a-sphere problem

Andrew Suk, Ethan Patrick White

For fixed $d \geq 3$ , we construct subsets of the $d$ -dimensional lattice cube $[n]^{d}$ of size $n^{\frac{3}{d + 1} - o (1)}$ with no $d + 2$ points on a sphere or a hyperplane. This im…

On the maximum number of k-holes in point sets with no (k+1)-hole

A note on the no-(d+2)-on-a-sphere problem

On the maximum number of $k$ -holes in point sets with no $(k + 1)$ -hole

A note on the no- $(d + 2)$ -on-a-sphere problem