Zi-Chao Dong

collaborators

3 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.CO2025

Large grid subsets without many cospherical points

Zichao Dong, Zijian Xu

Motivated by intuitions from projective algebraic geometry, we provide a novel construction of subsets of the $d$ -dimensional grid $[n]^{d}$ of size $n - o (n)$ with no $d + 2$ points…

math.CO2025

Induced rational exponents and bipartite subgraphs in $K_{s, s}$ -free graphs

Zichao Dong, Jun Gao, Ruonan Li +1

In this paper, we study a general phenomenon that many extremal results for bipartite graphs can be transferred to the induced setting when the host graph is $K_{s, s}$ -free. As ma…

A dichotomy for hypergraph Zarankiewicz problems on axis-parallel boxes

Large grid subsets without many cospherical points

Induced rational exponents and bipartite subgraphs in Ks,s​-free graphs

Induced rational exponents and bipartite subgraphs in $K_{s, s}$ -free graphs