On transitivity and connectedness of Cayley graphs of gyrogroups
Group Theory
2021-05-14 v1
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.
Cite
@article{arxiv.2008.03267,
title = {On transitivity and connectedness of Cayley graphs of gyrogroups},
author = {Rasimate Maungchang and Prathomjit Khachorncharoenkul and Kiattisak Prathom and Teerapong Suksumran},
journal= {arXiv preprint arXiv:2008.03267},
year = {2021}
}
Comments
11 pages, 6 figures