Yuzhen Qi

collaborators

3 papers

math.CO2025

Triple systems with bounded matching number: some constructions and exact TurÃ¡n number

Nannan Chen, Miao Liu, Yuzhen Qi +1

We study the TurÃ¡n numbers of $3$ -graphs avoiding $3$ -graphs $F$ and $M_{s + 1}^{3}$ , a matching of size $s + 1$ . We disprove a conjecture of Gerbner, Tompkins, and Zhou [European Journ…

math.CO2025

Exact TurÃ¡n densities in triple systems

Nannan Chen, Yuzhen Qi, Caihong Yang +1

In this paper, we prove several new TurÃ¡n density results for $3$ -graphs. We show: $I ¨ (C_{4}^{3}, complement of F_{5}) = 23 - 3$ , $Ï(F_{3,2}, C_5^{3-}) = \frac{2}{9}…

math.CO2025

Largest dyadic dual VC-dimension of non-piercing families

Xinqi Huang, Yuzhen Qi, Mingyuan Rong +1

The dyadic dual VC-dimension of a set system $ \mathcal{F} $ is the largest integer $ \ell $ such that there exist $ \ell $ sets \( F_1, F_{2}, \dots, F_\ell \in \mathcal{F}…