Yongtao Li

collaborators

8 papers

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

Non-uniform pairwise cross $t$ -intersecting families

Yongjiang Wu, Yongtao Li, Tingzeng Wu +1

Let $n \geq t \geq 1$ and $A_{1}, A_{2}, \dots, A_{m} \subseteq 2^{[n]}$ be non-empty families. We say that they are pairwise cross $t$ -intersecting if $|A…

math.CO2026

Subspace variations of the weighted skew BollobÃ¡s theorem

Yongjiang Wu, Yongtao Li, Lu Lu +1

Let $V$ be a finite-dimensional real vector space. A collection $P = {(A_{i}, B_{i})}_{i = 1}^{m}$ of pairs of subspaces of $V$ is called a skew BollobÃ¡s system if $\dim(A_i\ca…

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…

math.CO2025

Maximal intersecting families revisited

Yongjiang Wu, Yongtao Li, Lihua Feng +2

The well-known ErdÅs--Ko--Rado theorem states that for $n > 2 k$ , every intersecting family of $k$ -sets of $[n] := {1, \dots, n}$ has at most $(k - 1 n - 1)$ sets, and the extr…

math.CO2025

Stabilities of the Kleitman diameter theorem

Yongjiang Wu, Yongtao Li, Lihua Feng +2

Let $F$ be a family of subsets of $[n]$ . The diameter of $F$ is the maximum size of symmetric differences among pairs of its members. Resolving a conjecture of…

Two results on set families: sturdiness and intersection

Non-uniform pairwise cross t-intersecting families

Subspace variations of the weighted skew BollobÃ¡s theorem

The product measures of cross t-intersecting families

Maximal intersecting families revisited

Stabilities of the Kleitman diameter theorem

Non-uniform pairwise cross $t$ -intersecting families

The product measures of cross $t$ -intersecting families