Lin Sun

collaborators

3 papers

math.CO2025

Degree conditions for spanning expansion hypertrees

Mengjiao Rao, Nicolás 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…

math.CO2025

Minimum degree conditions for Hamilton $l$ -cycles in $k$ -uniform hypergraphs

Jie Han, Lin Sun, Guanghui Wang

We show that for $η > 0$ and sufficiently large $n$ , every 5-graph on $n$ vertices with $δ_{2} (H) \geq (91/216 + η) (3 n)$ contains a Hamilton 2-cycle. This minimum 2-degree…

math.CO2025

Tiling $H$ in dense graphs

Nannan Chen, Xizhi Liu, Lin Sun +1

We determine asymptotically the two extremal constructions for the tiling problem of the $H$ -shaped tree. In particular, the first extremal construction is close to the complement…

Degree conditions for spanning expansion hypertrees

Minimum degree conditions for Hamilton l-cycles in k-uniform hypergraphs

Tiling H in dense graphs

Minimum degree conditions for Hamilton $l$ -cycles in $k$ -uniform hypergraphs

Tiling $H$ in dense graphs