Ligong Wang

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20232026

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4 papers · 1 filter

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…

math.CO2024

Integral Cayley graphs over a group of order $6 n$

Jing Wang, Xiaogang Liu, Ligong Wang

In this paper, we study the integral Cayley graphs over a non-abelian group $U_{6 n} = ⟨ a, b ∣ a^{2 n} = b^{3} = 1, a^{- 1} ba = b^{- 1} ⟩$ of order $6 n$ . We give a necessary and suf…

math.CO2023

Pretty good fractional revival on Cayley graphs over dicyclic groups

Jing Wang, Ligong Wang, Xiaogang Liu

In this paper, we investigate the existence of pretty good fractional revival on Cayley graphs over dicyclic groups. We first give a necessary and sufficient description for Cayley…

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

Enumeration of dicirculant digraphs

Integral Cayley graphs over a group of order 6n

Pretty good fractional revival on Cayley graphs over dicyclic groups

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

Integral Cayley graphs over a group of order $6 n$