Jie Han

activity

20242026

collaborators

8 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 $Î´(G)\geq (\frac{1}{2}+o(1))…

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 $I^´_{F, d}^{T}$ be the infimum of $I^´ > 0$ such that for every $I^\pm > 0$ and sufficiently large $n\in \mathb…

math.CO2025

TurÃ¡n number of complete multipartite graphs in multipartite graphs

Jie Han, Yi Zhao

In this paper we study a multi-partite version of the ErdÅs--Stone theorem. Given integers $r < k$ and $t \geq 1$ , let $ex_{k} (n, K_{r + 1} (t))$ be the maximum number of edges of $…

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 $(d, I^\pm)$ -degenerate if $m_{1} (G) \leq d$ and there exists a constant $ε > 0$ such that for every subset $U \subseteq V (G)$ with si…

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

TurÃ¡n number of complete multipartite graphs in multipartite graphs

Supersaturation of odd linear cycles

On the thresholds of degenerate hypergraphs

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

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