回转群Cayley图的传递性和连通性
On transitivity and connectedness of Cayley graphs of gyrogroups
摘要：
在这项工作中，我们探讨的边缘方向，传递性和连通性的凯莱图的回转群。更具体地说，我们发现条件的凯莱图的陀螺群是无向的，传递的，和连接。我们还证明了某一类子回转群的陪集与Cayley图的连通分支之间的关系。提供了关于这些调查结果的一些例子。
英文摘要：
In this work, we explore edge direction, transitivity, and connectedness of Cayley graphs of gyrogroups. More specifically, we find conditions for a Cayley graph of a gyrogroup to be undirected, transitive, and connected. We also show a relationship between the cosets of a certain type of subgyrogroups and the connected components of Cayley graphs. Some examples regarding these findings are provided.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
