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Hamiltonian Cycles in Cayley Graphs of Gyrogroups

Author

Listed:
  • 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)

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.

Suggested Citation

  • Rasimate Maungchang & Charawi Detphumi & Prathomjit Khachorncharoenkul & Teerapong Suksumran, 2022. "Hamiltonian Cycles in Cayley Graphs of Gyrogroups," Mathematics, MDPI, vol. 10(8), pages 1-11, April.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:8:p:1251-:d:791149
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    Cited by:

    1. Rasimate Maungchang & Teerapong Suksumran, 2022. "On Dihedralized Gyrogroups and Their Cayley Graphs," Mathematics, MDPI, vol. 10(13), pages 1-21, June.

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