Yongjiang Wu

activity

20242026

most citedA result for hemi-bundled cross-intersecting families

1 citations · 1 across the 15 of their papers we have counts for

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7 papers · 1 filter

math.CO2026

A complete solution to the Tokushige measure conjecture and its stability

Yongjiang Wu, Lihua Feng

We resolve three conjectures proposed by Tokushige in 2013 about cross $t$ -intersecting families of subsets and integer sequences. For $0 < p < 1$ and $F \subseteq 2^{[n]}$ , def…

math.CO2026

Rigidity and stability for biased cross-intersecting families

Yongjiang Wu, Lihua Feng

Let $p = (p_{1}, \dots, p_{n})$ and $q = (q_{1}, \dots, q_{n})$ belong to $(0, 1/2]^{n}$ , and let $μ_{p}$ and $μ_{q}$ be the associated measures on $2^{[n]}$ . Suppos…

math.CO2026

The binomial norm of intersecting-union families

Yongjiang Wu, Lihua Feng

In a 2021 survey on Katona's circle method, Frankl conjectured that every family $F \subseteq 2^{[n]}$ in which any two members intersect and no two members cover $[n]$ sa…

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 $μ_{p}$ denote the product measure on $2^{[n]}$ where each coordinate $i$ is included independently with probabil…

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

Subspace variations of the weighted skew Bollobás 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 Bollobás system if $\dim(A_i\cap…

A complete solution to the Tokushige measure conjecture and its stability

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

Subspace variations of the weighted skew Bollobás theorem

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

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