Hong Liu

collaborators

2 papers

math.CO2026

A dichotomy for hypergraph Zarankiewicz problems on axis-parallel boxes

Ting-Wei Chao, Zichao Dong, Hong Liu +2

We study the Zarankiewicz problem for $r$ -partite, $r$ -uniform intersection hypergraphs arising from $r$ families of axis-parallel boxes in $R^{d}$ with prescribed direction…

math.CO2024

Separating hypergraph Turán densities

Hong Liu, Bjarne Schülke, Shuaichao Wang +2

Determining the Turán densities of hypergraphs is a notoriously difficult problem at the core of combinatorics. Although Turán posed this problem in 1941, $π (K_{ℓ}^{(k)})$ remai…