Su Zhou

collaborators

4 papers

math.CO2026

A parity ErdÅs-Hajnal theorem for $t$ -intersecting curves

Andrew Suk, Su Zhou

For every fixed $t \geq 1$ , we prove a parity analogue of the mighty ErdÅs-Hajnal property for $t$ -intersecting curves in the plane. Let $B$ be a set of blue curves and $\m…

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.CO2026

Extremal structure in dense arrangements of $k$ -intersecting curves

Andrew Suk, Su Zhou

Let $P$ be a set of $n$ points in the plane, and let $C$ be a collection of $n$ simple $k$ -intersecting curves, meaning that every two distinct curves of $C$ meet…

math.CO2026

Region level via centralization for hyperplane arrangements and beyond

Finn Southerland, Lani Southern, Su Zhou

In "Faces of a Hyperplane Arrangement Enumerated by Ideal Dimension, with Applications to Plane, Plaids, and Shi," Zaslavsky showed how to compute the number $r_{ℓ} (A)$ …

A parity ErdÅs-Hajnal theorem for t-intersecting curves

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

Extremal structure in dense arrangements of k-intersecting curves

Region level via centralization for hyperplane arrangements and beyond

A parity ErdÅs-Hajnal theorem for $t$ -intersecting curves

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

Extremal structure in dense arrangements of $k$ -intersecting curves