Yongjiang Wu

collaborators

4 papers

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

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…