Mathematics (Apr 2022)

Hamiltonian Cycles in Cayley Graphs of Gyrogroups

  • Rasimate Maungchang,
  • Charawi Detphumi,
  • Prathomjit Khachorncharoenkul,
  • Teerapong Suksumran

DOI
https://doi.org/10.3390/math10081251
Journal volume & issue
Vol. 10, no. 8
p. 1251

Abstract

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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