Wenling Zhou

collaborators

7 papers

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{ $(n, d, I^¼)$ -dense} if $e_{H} (X, Y, Z) \geq d ∣ X ∣∣ Y ∣∣ Z ∣ - I^¼ n^{3}$ for all $X, Y, Z \subseteq V (H)$ . This is one of the weakest…

math.CO2026

Pancyclicity of graphs perturbed by a random $F$ -factor

Dingjia Mao, Feihong Yuan, Wenling Zhou

We determine the sharp minimum-degree threshold for Hamiltonicity in graphs perturbed by a uniformly random $K_{r}$ -factor, resolving a conjecture of Espuny DÃaz and GirÃ£o [Random…

math.CO2026

Uniform TurÃ¡n densities of $k$ -uniform hypergraphs

Hao Lin, Guowei Sun, Guanghui Wang +1

For $k \geq 3$ , the $(k - 2)$ -uniform TurÃ¡n density $I ¨ _{k - 2} (F)$ of a $k$ -graph $F$ is the supremum of $d$ for which there are arbitrarily large $F$ -free $k$ -graphs that are uniforml…

math.CO2026

TurÃ¡n density of stars in uniformly dense hypergraphs

Hao Lin, Wenling Zhou

A $3$ -uniform hypergraph (or $3$ -graph) $H = (V, E)$ is $(d, I^¼, 1)$ -\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.CO2026

Extremal problems in uniformly dense hypergraphs and digraphs

Hao Lin, Guanghui Wang, Wenling Zhou +1

The uniform TurÃ¡n density $I ¨ _{u} (F)$ 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 wh…

math.CO2025

Degree conditions for spanning expansion hypertrees

Mengjiao Rao, NicolÃ¡s Sanhueza-Matamala, Lin Sun +2

The $k$ -expansion of a graph $G$ is the $k$ -uniform hypergraph obtained from $G$ by adding $k - 2$ new vertices to every edge. We determine, for all $k > d \geq 1$ , asymptotically op…

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

Pancyclicity of graphs perturbed by a random F-factor

Uniform TurÃ¡n densities of k-uniform hypergraphs

TurÃ¡n density of stars in uniformly dense hypergraphs

Extremal problems in uniformly dense hypergraphs and digraphs

Degree conditions for spanning expansion hypertrees

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

Pancyclicity of graphs perturbed by a random $F$ -factor

Uniform TurÃ¡n densities of $k$ -uniform hypergraphs