Yongjiang Wu

works on

intersecting families 2 biased product measures 1 extremal combinatorics 1 extremal set theory 1 lubell function 1 measure inequalities 1 p-biased measure 1 stability theorems 1 union-free families 1

From the 2 of 13 linked papers with an AI index.

collaborators

13 papers

math.CO2026

Rigidity and stability for biased cross-intersecting families

Yongjiang Wu, Lihua Feng

The paper proves a sharp inequality for the product of measures of cross‑intersecting families under biased product measures, confirming a conjecture, and establishes a linear‑type…

math.CO2026

The binomial norm of intersecting-union families

Yongjiang Wu, Lihua Feng

The paper proves Frankl's conjecture that any family of subsets of [n] where every two sets intersect and no two cover [n] satisfies the Lubell bound ≤ (n+1)/6, and it characterize…

math.CO2026

Random partition for Tokushige's $r$ -wise intersecting conjecture

Yongjiang Wu, Lihua Feng

Let $r \geq 3$ and let $1 > p_{1} \geq p_{2} \geq \dots \geq p_{n} > 0$ . Let $I^¼_{p}$ denote the product measure on $2^{[n]}$ where each coordinate $i$ is included independently with probabi…

math.CO2026

Improved bound on symmetric differences of intersecting families

Lihua Feng, Zejun Huang, Qifan Wang +1

For a family $F$ , it is called intersecting if $F \cap F^{'} \neq = \emptyset$ for all $F, F^{'} \in F$ . We use $\mathcal{SD}(\mathcal{F}) = \{F \triangle G : F, G \in \math…

math.CO2026

The Suda-Tanaka-Tokushige conjecture for $p$ -biased intersecting families

Yongjiang Wu, Lihua Feng

In 2017, Suda, Tanaka and Tokushige conjectured that if $1 > p_{1} \geq \dots \geq p_{n} > 0$ with $p_{3} \leq \frac{1}{2}$ , then every intersecting family $A \subseteq 2^{[n]}$ satisfies…

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\}:…

Rigidity and stability for biased cross-intersecting families

The binomial norm of intersecting-union families

Random partition for Tokushige's r-wise intersecting conjecture

Improved bound on symmetric differences of intersecting families

The Suda-Tanaka-Tokushige conjecture for p-biased intersecting families

Two results on set families: sturdiness and intersection

Random partition for Tokushige's $r$ -wise intersecting conjecture

The Suda-Tanaka-Tokushige conjecture for $p$ -biased intersecting families