Jie Han

activity

20242026

collaborators

6 papers

math.CO2026

Exact minimum co-degree conditions for $ℓ$ -Hamiltonicity in hypergraphs

Luyining Gan, Jie Han, Huan Xu

Suppose $1 \leq ℓ < k$ such that $(k - ℓ) ∤ k$ . Given an $n$ -vertex $k$ -uniform hypergraph $H$ , for all $k /2 < ℓ < 3 k /4$ and sufficiently large $n\in (k-\ell)\mathbb N…

math.CO2025

Clique-factors in graphs with low $K_{ℓ}$ -independence number

Ming Chen, Jie Han, Donglei Yang

Given $r \in N$ with $r \geq 4$ , we show that there exists $n_{0} \in N$ such that for every $n \geq n_{0}$ , every $n$ -vertex graph $G$ with $δ(G)\geq (\frac{1}{2}+o(1))n…

math.CO2025

Transversal packings in families of percolated hypergraphs

Jie Han, Jie Hu, Shunan Wei +1

Let $F$ be a strictly $1$ -balanced $k$ -graph on $s$ vertices with $t$ edges and $δ_{F, d}^{T}$ be the infimum of $δ > 0$ such that for every $α > 0$ and sufficiently large $n\in \mathbb{N…

math.CO2025

Supersaturation of odd linear cycles

Lirong Deng, Jie Han, Jiaxi Nie +1

An $r$ -uniform linear cycle of length $ℓ$ , denoted by $C_{ℓ}^{r}$ , is an $r$ -graph with $ℓ$ edges $e_{1}, e_{2}, \dots, e_{ℓ}$ where $e_i=\{v_{(r-1)(i-1)},v_{(r-1)(i-1)+1},\dots…

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.CO2024

Ramsey--Dirac theory for bounded degree hypertrees

Jie Han, Seonghyuk Im, Jaehoon Kim +1

Ramsey--Turán theory considers Turán type questions in Ramsey-context, asking for the existence of a small subgraph in a graph $G$ where the complement $G$ lacks an appr…

Exact minimum co-degree conditions for ℓ-Hamiltonicity in hypergraphs

Clique-factors in graphs with low Kℓ​-independence number

Transversal packings in families of percolated hypergraphs

Supersaturation of odd linear cycles

On the thresholds of degenerate hypergraphs

Ramsey--Dirac theory for bounded degree hypertrees

Exact minimum co-degree conditions for $ℓ$ -Hamiltonicity in hypergraphs

Clique-factors in graphs with low $K_{ℓ}$ -independence number