Ligong Wang

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math.CO2026

Size and spectral conditions for a graph with given minimum degree to be $k$ - $d$ -critical

Zhenhao Zhang, Xiaogang Liu, Ligong Wang

A $k$ -matching in a graph $G$ is defined as a function $f : E (G) \to {0, 1, \dots, k}$ satisfying $\sum_{e \in E_{G} (v)} f (e)$ $\leq k$ for each vertex $v \in V (G)$ , where $E_G(v…

math.CO2024

Enumeration of dicirculant digraphs

Jing Wang, Ligong Wang, Xiaogang Liu

Let $T_{4 p} = ⟨ a, b ∣ a^{2 p} = 1, a^{p} = b^{2}, b^{- 1} ab = a^{- 1} ⟩$ be the dicyclic group of order $4 p$ . A Cayley digraph over $T_{4 p}$ is called a dicirculant digraph. In this p…

Size and spectral conditions for a graph with given minimum degree to be k-d-critical

Enumeration of dicirculant digraphs

Size and spectral conditions for a graph with given minimum degree to be $k$ - $d$ -critical