Mathematics, Volume 10, Issue 8 , 01/04/2022

Hamiltonian Cycles in Cayley Graphs of Gyrogroups

Rasimate Maungchang, Charawi Detphumi, Prathomjit Khachorncharoenkul, Teerapong Suksumran

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.

Document Type

Article

Source Type

Journal

Keywords

Cayley graphgyrogroupHamiltonian cycle

ASJC Subject Area

Mathematics : Mathematics (all)Engineering : Engineering (miscellaneous)Computer Science : Computer Science (miscellaneous)

Funding Agency

National Research Council of Thailand


Bibliography


Maungchang, R., Detphumi, C., Khachorncharoenkul, P., & Suksumran, T. (2022). Hamiltonian Cycles in Cayley Graphs of Gyrogroups. Mathematics, 10(8) doi:10.3390/math10081251

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