Shunan Wei

collaborators

4 papers

math.CO2025

Clique factors in random samplings of regular graphs

Wanting Sun, Shunan Wei, Donglei Yang

We show that for any integer $r \geq 2$ , there exists a constant $c > 0$ such that for every sufficiently large integer $n$ , every $((r - 1) n + 1)$ -regular graph $G$ on $r n$ vertices has a…

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

Packing tetrahedrons in edge-weighted graphs

Wanting Sun, Shunan Wei, Donglei Yang

We prove that for all $I^¼ > 0, t \in (0, 1)$ and sufficiently large $n \in 4 N$ , if $G$ is an edge-weighted complete graph on $n$ vertices with a weight function $w: E(G)\righta…

math.CO2025

Local rainbow colorings of hypergraphs

Zhenyu Li, Weichan Liu, Guowei Sun +2

In this paper, we generalize the concepts related to rainbow coloring to hypergraphs. Specifically, an $(n, r, H)$ -local coloring is defined as a collection of $n$ edge-colorings, $f…