4 papers · 1 filter
Generalized Cayley graphs of complete groups
Qianfen Liao, Liu Weijun
A group is complete group if it satisfies and . In this paper, on the one hand, we study the basic properties of generalized Cayley graphs and character…
Generalized Cayley graphs and perfect code
Liao Qianfen, Liu Weijun
Perfect code in Cayley graphs and Cayley sum graphs is studied extensively in recent years. In this paper, we consider perfect code in generalized Cayley graphs.
Some properties of generalized Cayley graphs
Liao Qianfen, Liu Weijun, Zhang Pengli
In this paper, firstly, we provide some necessary and sufficient conditions for generalized Cayley graphs on abelian groups to be bipartite. Secondly, we deduce several necessary a…
The group vertex magicness of unicyclic and bicyclic graphs
Qianfen Liao, Weijun Liu
In this paper, we give a characterization of unicyclic graphs with diameter at most 4 which are A-vertex magic. Moreover, let G be a bicyclic graph of diameter 3, then G is group v…