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math.CO2023
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…
math.CO2023
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…