On transitivity and connectedness of Cayley graphs of gyrogroups
arXiv:2008.03267 · doi:10.1016/j.heliyon.2021.e07049
Abstract
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.
11 pages, 6 figures