Lihua Feng

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 16 linked papers with an AI index.

collaborators

16 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

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

BollobÃ¡s-type inequalities for subspaces via weight invariance

Zhiyi Liu, Lihua Feng, Tingzeng Wu

Let $V$ be an $n$ -dimension real vector space with a direct sum decomposition $V = V_{1} \oplus \dots \oplus V_{r}$ . Let $P = {(A_{i}, B_{i}) : i \in [m]}$ be a skew BollobÃ¡s…

Rigidity and stability for biased cross-intersecting families

The binomial norm of intersecting-union families

Random partition for Tokushige's r-wise intersecting conjecture

Two results on set families: sturdiness and intersection

Non-uniform pairwise cross t-intersecting families

BollobÃ¡s-type inequalities for subspaces via weight invariance

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

Non-uniform pairwise cross $t$ -intersecting families