Xiaogang Liu

activity

20232026

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3 papers · 1 filter

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

Laplacian pair state transfer in Q-graph

Ming Jiang, Xiaogang Liu, Jing Wang

In 2018, Chen and Godsil proposed the concept of Laplacian perfect pair state transfer which is a brilliant generalization of Laplacian perfect state transfer. In this paper, we st…

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…

Enumeration of dicirculant digraphs

Laplacian pair state transfer in Q-graph

Integral Cayley graphs over a group of order 6n

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