  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.
