50 citations · 116 across the 6 of their papers we have counts for
6 papers
Perfect state transfer in NEPS of complete graphs
Yipeng Li, Xiaogang Liu, Shenggui Zhang +1
Perfect state transfer in graphs is a concept arising from quantum physics and quantum computing. Given a graph with adjacency matrix , the transition matrix of with r…
Eigenvalues of Cayley graphs
Xiaogang Liu, Sanming Zhou
We survey some of the known results on eigenvalues of Cayley graphs and their applications, together with related results on eigenvalues of Cayley digraphs and generalizations of C…
Quadratic unitary Cayley graphs of finite commutative rings
Xiaogang Liu, Sanming Zhou
The purpose of this paper is to study spectral properties of a family of Cayley graphs on finite commutative rings. Let be such a ring and its set of units. Let $Q_R…
Spectra of the neighbourhood corona of two graphs
Xiaogang Liu, Sanming Zhou
Given simple graphs and , the neighbourhood corona of and , denoted , is the graph obtained by taking one copy of and copies of…
Spectral characterizations of propeller graphs
Xiaogang Liu, Sanming Zhou
A propeller graph is obtained from an -graph by attaching a path to the vertex of degree four, where an -graph consists of two cycles with precisely one common vert…
Spectral properties of unitary Cayley graphs of finite commutative rings
Xiaogang Liu, Sanming Zhou
Let be a finite commutative ring. The unitary Cayley graph of , denoted , is the graph with vertex set and edge set , where $R^\t…