School of Science, Walailak University, Nakhon Si Thammarat 80160, Thailand
Charawi Detphumi
School of Science, Walailak University, Nakhon Si Thammarat 80160, Thailand
Prathomjit Khachorncharoenkul
School of Science, Walailak University, Nakhon Si Thammarat 80160, Thailand
Teerapong Suksumran
Research Group in Mathematics and Applied Mathematics, Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
In this study, we investigate Hamiltonian cycles in the right-Cayley graphs of gyrogroups. More specifically, we give a gyrogroup version of the factor group lemma and show that some right-Cayley graphs of certain gyrogroups are Hamiltonian.