Xiaogang Liu

collaborators

4 papers

math.CO2025

Pair state transfer in tensor product and double cover

Ming Jiang, Xiaogang Liu, Jing Wang

Quantum state transfer, first introduced by Bose in 2003, is an important physical phenomenon in quantum networks, which plays a vital role in quantum communication and quantum com…

math.CO2025

Enumeration of Cayley graphs over a nonabelian group of order $8 p$

Bei Ye, Xiaogang Liu, Jing Wang

Let $T_{8 p} = ⟨ a, b ∣ a^{2 p} = b^{8} = e, a^{p} = b^{4}, b^{- 1} ab = a^{- 1} ⟩$ be a nonabelian group of order $8 p$ , where $p$ is an odd prime number. In this paper, we give…

math.CO2025

Integral Cayley graphs over a nonabelian group of order $8 n$

Bei Ye, Xiaogang Liu

A graph is called an integral graph when all eigenvalues of its adjacency matrix are integers. We study which Cayley graphs over a nonabelian group $$ T_{8n}=\left\langle a,b\mid a…

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…

Pair state transfer in tensor product and double cover

Enumeration of Cayley graphs over a nonabelian group of order 8p

Integral Cayley graphs over a nonabelian group of order 8n

Enumeration of dicirculant digraphs

Enumeration of Cayley graphs over a nonabelian group of order $8 p$

Integral Cayley graphs over a nonabelian group of order $8 n$