Zixuan Xu

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20242026

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math.CO2026

Uniform Set Systems with Uniform Witnesses

Ting-Wei Chao, Zixuan Xu, Dmitrii Zakharov

Frankl--Pach and Erdős 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.CO2024

On off-diagonal $F$ -Ramsey numbers

Sammy Luo, Zixuan Xu

A graph is $(t_{1}, t_{2})$ -Ramsey if any red-blue coloring of its edges contains either a red copy of $K_{t_{1}}$ or a blue copy of $K_{t_{2}}$ . The size Ramsey number is the minimum numb…

Uniform Set Systems with Uniform Witnesses

On off-diagonal F-Ramsey numbers

On off-diagonal $F$ -Ramsey numbers