Hamiltonian Cycles in Cayley Graphs of Gyrogroups

Rasimate Maungchang, Charawi Detphumi, Prathomjit Khachorncharoenkul and Teerapong Suksumran
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Rasimate Maungchang: 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

Mathematics, 2022, vol. 10, issue 8, 1-11

Abstract: 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.

Keywords: gyrogroup; Cayley graph; Hamiltonian cycle (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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