Sumin Huang

collaborators

2 papers

math.CO2024

The maximum sum of the sizes of all intersections within $m$ -size families

Sumin Huang, Gyula O. H. Katona, Erfei Yue

For a family of sets $F$ , let $ω (F) := \sum_{{A, B} \subset F} ∣ A \cap B ∣$ . In this paper, we prove that provided $n$ is sufficiently large, for any $\mat…

math.CO2024

Pairwise Intersection Profiles of Intersecting Families

Sumin Huang

Let $F \subseteq (k [ n ])$ be a $k$ -uniform family, and let $P_{m} (F)$ denote the number of ordered pairs $(A, B) \in F \times F$ with $|A\cap B|=m…

The maximum sum of the sizes of all intersections within m-size families

Pairwise Intersection Profiles of Intersecting Families

The maximum sum of the sizes of all intersections within $m$ -size families