Haoran Luo

most citedNon-degenerate Hypergraphs with Exponentially Many Extremal Constructions

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.CO2024

On the thresholds of degenerate hypergraphs

Yu Chen, Jie Han, Haoran Luo

An $n$ -vertex $k$ -uniform hypergraph $G$ is $(d, α)$ -degenerate if $m_{1} (G) \leq d$ and there exists a constant $ε > 0$ such that for every subset $U \subseteq V (G)$ with siz…

math.CO2022★ 1 cited

Non-degenerate Hypergraphs with Exponentially Many Extremal Constructions

József Balogh, Felix Christian Clemen, Haoran Luo

For every integer $t \geq 0$ , denote by $F_{5}^{t}$ the hypergraph on vertex set ${1, 2, \dots, 5 + t}$ with hyperedges ${123, 124} \cup {34 k : 5 \leq k \leq 5 + t}$ . We determine $\mathr…

math.CO2022

Maximal 3-wise Intersecting Families with Minimum Size: the Odd Case

József Balogh, Ce Chen, Haoran Luo

A family $F$ on ground set ${1, 2, \dots, n}$ is maximal $k$ -wise intersecting if every collection of $k$ sets in $F$ has non-empty intersection, and no other…