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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15 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…

math.CO2025

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

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.CO2025

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.CO2024

Proof of Frankl's conjecture on cross-intersecting families

Yongjiang Wu, Lihua Feng, Yongtao Li

Two families $F$ and $G$ are called cross-intersecting if for every $F \in F$ and $G \in G$ , the intersection $F \cap G$ is non-empty. For any…

math.CO2024★ 1 cited

A result for hemi-bundled cross-intersecting families

Yongjiang Wu, Lihua Feng, Yongtao Li

Two families $F$ and $G$ are called cross-intersecting if for every $F \in F$ and $G \in G$ , the intersection $F \cap G$ is non-empty. It is si…

math.CO2024

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…

math.CO2024

Maximal intersecting families revisited

Yongjiang Wu, Yongtao Li, Lihua Feng +2

The well-known Erdős--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 extre…

math.CO2024

Snevily's Conjecture about $L$ -intersecting Families on Set Systems and its Analogue on Vector Spaces

Jiuqiang Liu, Guihai Yu, Lihua Feng +1

The classical Erdős-Ko-Rado theorem on the size of an intersecting family of $k$ -subsets of the set $[n] = {1, 2, \dots, n}$ is one of the fundamental intersection theorems for s…

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

The product measures of cross t-intersecting families

Non-uniform pairwise cross t-intersecting families

Two results on set families: sturdiness and intersection

Proof of Frankl's conjecture on cross-intersecting families

A result for hemi-bundled cross-intersecting families

Stabilities of the Kleitman diameter theorem

Maximal intersecting families revisited

Snevily's Conjecture about L-intersecting Families on Set Systems and its Analogue on Vector Spaces

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

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

The product measures of cross $t$ -intersecting families

Non-uniform pairwise cross $t$ -intersecting families

Snevily's Conjecture about $L$ -intersecting Families on Set Systems and its Analogue on Vector Spaces