Cayley graphs are graphs on algebraic structures, typically groups or group-like structures. In this paper, we have obtained a few results on Cayley graphs on Cyclic groups, powers of cycles, Cayley graphs on some non-abelian groups, and vertex, edge and total colorings of Cayley graphs on gyrogroups.
翻译:Cayley图是定义在代数结构(通常为群或类群结构)上的图。本文在循环群上的Cayley图、循环幂图、某些非交换群上的Cayley图,以及回旋群上Cayley图的顶点染色、边染色和全染色方面取得了若干结果。