Zhiyi Liu

collaborators

4 papers

math.CO2026

Thresholds for the Frankl-Wang $3/7$ conjecture on maximum-degree ratios

Zejun Huang, Zhiyi Liu, Lu Lu +1

Let $F \subset (k [ n ])$ be an intersecting family, $I^ (F) = max_{x \in [n]} ∣ {F \in F : x \in F} ∣$ , and $\varrho(\mathcal{F})=Î(\mathcal{F})/|\mathcal{…

math.CO2026

Two results on set families: sturdiness and intersection

Yongjiang Wu, Zhiyi Liu, Lihua Feng +1

This paper resolves two open problems in extremal set theory. For a family $F \subseteq 2^{[n]}$ and $i, j \in [n]$ , we denote $\mathcal{F} (i,\bar{j})=\{F\backslash\{i\}:…

math.CO2026

BollobÃ¡s-type inequalities for subspaces via weight invariance

Zhiyi Liu, Lihua Feng, Tingzeng Wu

Let $V$ be an $n$ -dimension real vector space with a direct sum decomposition $V = V_{1} \oplus \dots \oplus V_{r}$ . Let $P = {(A_{i}, B_{i}) : i \in [m]}$ be a skew BollobÃ¡s…

math.CO2026

The product measures of cross $t$ -intersecting families

Yongjiang Wu, Yongtao Li, Zhiyi Liu +1

We investigate the product measures of intersection problems in extremal combinatorics. Invoking a recent result of He--Li--Wu--Zhang, we prove that for any $n \geq t \geq 3$ and…

Thresholds for the Frankl-Wang 3/7 conjecture on maximum-degree ratios

Two results on set families: sturdiness and intersection

BollobÃ¡s-type inequalities for subspaces via weight invariance

The product measures of cross t-intersecting families

Thresholds for the Frankl-Wang $3/7$ conjecture on maximum-degree ratios

The product measures of cross $t$ -intersecting families