Xiaogang Liu

activity

20122024

collaborators

4 papers

math.CO2024

Algebraic degrees of $n$ -Cayley digraphs over abelian groups

Hao Li, Xiaogang Liu

A digraph is called an $n$ -Cayley digraph if its automorphism group has an $n$ -orbit semiregular subgroup. We determine the splitting fields of $n$ -Cayley digraphs over abelian gro…

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

Fractional revival on semi-Cayley graphs over abelian groups

Jing Wang, Ligong Wang, Xiaogang Liu

In this paper, we investigate the existence of fractional revival on semi-Cayley graphs over finite abelian groups. We give some necessary and sufficient conditions for semi-Cayley…

math.CO2012

Spectral properties of unitary Cayley graphs of finite commutative rings

Xiaogang Liu, Sanming Zhou

Let $R$ be a finite commutative ring. The unitary Cayley graph of $R$ , denoted $G_{R}$ , is the graph with vertex set $R$ and edge set $a, b : a, b \in R, a - b \in R^{\times}$ , where $R^\t…

Algebraic degrees of n-Cayley digraphs over abelian groups

Integral Cayley graphs over a group of order 6n

Fractional revival on semi-Cayley graphs over abelian groups

Spectral properties of unitary Cayley graphs of finite commutative rings

Algebraic degrees of $n$ -Cayley digraphs over abelian groups

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