Ting-Wei Chao

activity

20242026

collaborators

13 papers

math.CO2026

Asymptotically sharp bounds for affine subspace statistics in $F_{2}^{n}$

Ting-Wei Chao, Zixuan Xu, Dmitrii Zakharov

Given a subset $A \subseteq F_{2}^{n}$ , we can consider the distribution of the intersection size of $A$ with a uniformly random $d$ -flat $F$ . Motivated by the edge statistics…

math.CO2026

Vertex-minor universality of a random graph

Ting-Wei Chao, Zixuan Xu

Given a graph $G$ and a vertex $v \in V (G)$ , a local complementation at $v$ on $G$ is an operation that replaces the induced graph on the neighborhood of $v$ by its complement. A gr…

math.CO2026

Even-degeneracy of a random graph

Ting-Wei Chao, Dingding Dong, Zixuan Xu

A graph is even-degenerate if one can iteratively remove a vertex of even degree at each step until at most one edge remains. Recently, Janzer and Yip showed that the ErdÅs--Renyi…

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.CO2026

Uniform Set Systems with Uniform Witnesses

Ting-Wei Chao, Zixuan Xu, Dmitrii Zakharov

Frankl--Pach and ErdÅs conjectured that any $(d + 1)$ -uniform set family $F \subseteq (d + 1 [ n ])$ with VC-dimension at most $d$ has size at most $(d n - 1)$ when…

math.CO2026

Finite field Nikodym problem for spread line sets

Ting-Wei Chao, Hung-Hsun Hans Yu

A set of points $N \subseteq F_{q}^{d}$ is a Nikodym set if, for any $x \in F_{q}^{d}$ , there is a line $ℓ$ through $x$ such that $ℓ ∖ {x} \subseteq N$ . We con…

Asymptotically sharp bounds for affine subspace statistics in F2n​

Vertex-minor universality of a random graph

Even-degeneracy of a random graph

A dichotomy for hypergraph Zarankiewicz problems on axis-parallel boxes

Uniform Set Systems with Uniform Witnesses

Finite field Nikodym problem for spread line sets

Asymptotically sharp bounds for affine subspace statistics in $F_{2}^{n}$