论文标题

关于陀螺仪的Cayley图的传递性和连接性

On transitivity and connectedness of Cayley graphs of gyrogroups

论文作者

Maungchang, Rasimate, Khachorncharoenkul, Prathomjit, Prathom, Kiattisak, Suksumran, Teerapong

论文摘要

在这项工作中,我们探索了陀螺仪的Cayley图的边缘方向,传递性和连接性。更具体地说,我们发现gyrogroup的Cayley图是无向,传递和连接的。我们还显示了某种类型的子gyrogroup的Zet与Cayley图的连接组件之间的关系。提供了有关这些发现的一些示例。

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.

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