Journal
MATHEMATICS
Volume 10, Issue 8, Pages -Publisher
MDPI
DOI: 10.3390/math10081251
Keywords
gyrogroup; Cayley graph; Hamiltonian cycle
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Funding
- National Research Council of Thailand (NRCT), via the Research Grants for Talented Young Researchers [N41A640110]
- Research Group in Mathematics and Applied Mathematics, Chiang Mai University
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This study examines Hamiltonian cycles in the right-Cayley graphs of gyrogroups, demonstrating the gyrogroup version of the factor group lemma and proving that certain gyrogroups have Hamiltonian right-Cayley graphs.
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.
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