Weichan Liu

collaborators

4 papers

math.CO2025

Perfect tilings with the generalised triangle in $k$ -graphs

Weichan Liu, Xiangxiang Nie, Donglei Yang +1

Denote by $T_{k}$ the generalised triangle, a $k$ -uniform hypergraph on vertex set ${1, 2, \dots, 2 k - 1}$ with three edges ${1, \dots, k - 1, k}$ , ${1, \dots, k - 1, k + 1}$ and $\{k,k+1,\dots,…

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…

math.CO2025

Equitable coloring of graphs beyond planarity

Weichan Liu

An equitable coloring of a graph is a proper coloring where the sizes of any two different color classes do not differ by more than one. A graph is IC-planar if it can be drawn in…

math.CO2024

Cooperative colorings of hypergraphs

Xuqing Bai, Bi Li, Weichan Liu +1

Given a class $H$ of $m$ hypergraphs $H_{1}, H_{2}, \dots, H_{m}$ with the same vertex set $V$ , a cooperative coloring of them is a partition ${I_{1}, I_{2}, \dots, I_{m}}$ …

Perfect tilings with the generalised triangle in k-graphs

Local rainbow colorings of hypergraphs

Equitable coloring of graphs beyond planarity

Cooperative colorings of hypergraphs

Perfect tilings with the generalised triangle in $k$ -graphs