Yang Huang

collaborators

Showing math.COShow all

4 papers · 1 filter

math.CO2026

A sharp product bound for non-trivial cross-intersecting families

Yang Huang

Two families $A, B \subset (k [ n ])$ are cross-intersecting if $A \cap B \neq = \emptyset$ for all $A \in A$ and $B \in B$ , and non-trivi…

math.CO2026

Structure and properties of large cross-intersecting families

Yang Huang, Andrey Kupavskii

The study of intersecting families, initiated by Erdős, Ko, and Rado, is a central topic in extremal combinatorics. A classical stability result of Hilton and Milner determines the…

math.CO2026

Complete Characterization on Maximum Pairwise Cross Intersecting Families (I)

Yang Huang, Yuejian Peng

The families $A$ and $B$ are cross intersecting if $A \cap B \neq = \emptyset$ for any $A \in A$ and $B \in B$ . Let $t \geq 2$ and $k_1\geq k_2\geq…

math.CO2023

Mixed pairwise cross intersecting families (I)

Yang Huang, Yuejian Peng

An $(n, k_{1}, \dots, k_{t})$ -cross intersecting system is a set of non-empty pairwise cross-intersecting families $\mathcal{F}_1\subset{[n]\choose k_1}, \mathcal{F}_2\subset{[n]\choos…