Hao Lin

activity

20232026

collaborators

7 papers

math.CO2026

The $ℓ$ -degree Turán densities of hypergraphs: infinite families and their finite subfamilies

Hao Lin, Wenling Zhou

Let $k > ℓ \geq 1$ be integers. For a family $F$ of $k$ -uniform hypergraphs ( $k$ -graphs), its $ℓ$ -degree Turán density $γ_{ℓ}^{(k)} (F)$ is the asymptotic max…

math.CO2026

Sharp Diagonal Thresholds for Tight Hamilton Cycles in Uniformly Dense $3$ -Graphs

Hao Lin, Guanghui Wang, Wenling Zhou

A $3$ -uniform hypergraph (or $3$ -graph) $H$ on $n$ vertices is \emph{ $(n, d, μ)$ -dense} if $e_{H} (X, Y, Z) \geq d ∣ X ∣∣ Y ∣∣ Z ∣ - μ n^{3}$ for all $X, Y, Z \subseteq V (H)$ . This is one of the weakest s…

math.CO2026

Uniform Turán densities of $k$ -uniform hypergraphs

Hao Lin, Guowei Sun, Guanghui Wang +1

For $k \geq 3$ , the $(k - 2)$ -uniform Turán density $π_{k - 2} (F)$ of a $k$ -graph $F$ is the supremum of $d$ for which there are arbitrarily large $F$ -free $k$ -graphs that are uniformly…

math.CO2026

Extremal problems in uniformly dense hypergraphs and digraphs

Hao Lin, Guanghui Wang, Wenling Zhou +1

The uniform Turán density $π_{u} (F)$ of a $3$ -uniform hypergraph (or $3$ -graph) $F$ is the supremum of all $d$ such that there exist infinitely many $F$ -free $3$ -graphs $H$ in whic…

math.CO2025

Turán density of stars in uniformly dense hypergraphs

Hao Lin, Wenling Zhou

A $3$ -uniform hypergraph (or $3$ -graph) $H = (V, E)$ is $(d, μ, 1)$ -\emph{dense} if for any subsets $X, Y, Z \subseteq V$ , the number of triples $(x, y, z) \in X \times Y \times Z$ such that $\…

math.CO2024

A strengthening on consecutive odd cycles in graphs of given minimum degree

Hao Lin, Guanghui Wang, Wenling Zhou

Liu and Ma [J. Combin. Theory Ser. B, 2018] conjectured that every $2$ -connected non-bipartite graph with minimum degree at least $k + 1$ contains $⌈ k /2 ⌉$ cycles with con…

math.CO2023

The minimum positive uniform Turán density in uniformly dense $k$ -uniform hypergraphs

Hao Lin, Guanghui Wang, Wenling Zhou

A $k$ -graph (or $k$ -uniform hypergraph) $H$ is uniformly dense if the edge distribution of $H$ is uniformly dense with respect to every large collection of $k$ -vertex cliques induc…

The ℓ-degree Turán densities of hypergraphs: infinite families and their finite subfamilies

Sharp Diagonal Thresholds for Tight Hamilton Cycles in Uniformly Dense 3-Graphs

Uniform Turán densities of k-uniform hypergraphs

Extremal problems in uniformly dense hypergraphs and digraphs

Turán density of stars in uniformly dense hypergraphs

A strengthening on consecutive odd cycles in graphs of given minimum degree

The minimum positive uniform Turán density in uniformly dense k-uniform hypergraphs

The $ℓ$ -degree Turán densities of hypergraphs: infinite families and their finite subfamilies

Sharp Diagonal Thresholds for Tight Hamilton Cycles in Uniformly Dense $3$ -Graphs

Uniform Turán densities of $k$ -uniform hypergraphs

The minimum positive uniform Turán density in uniformly dense $k$ -uniform hypergraphs