Matthew Kwan

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math.CO2025

The edge-statistics conjecture for hypergraphs

Vishesh Jain, Matthew Kwan, Dhruv Mubayi +1

Let $r, k, ℓ$ be integers such that $0 \leq ℓ \leq (r k)$ . Given a large $r$ -uniform hypergraph $G$ , we consider the fraction of $k$ -vertex subsets which span exactly $ℓ$ e…

math.CO2025

Colouring random Hasse diagrams and box-Delaunay graphs

Zhihan Jin, Matthew Kwan, Lyuben Lichev

Fix $d \geq 2$ and consider a uniformly random set $P$ of $n$ points in $[0, 1]^{d}$ . Let $G$ be the Hasse diagram of $P$ (with respect to the coordinatewise partial order), or alterna…