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Cayley graphs and G-graphs of gyro-groups | ||
| Journal of Discrete Mathematics and Its Applications | ||
| دوره 11، شماره 2، شهریور 2026، صفحه 107-122 اصل مقاله (291.25 K) | ||
| نوع مقاله: Full Length Article | ||
| شناسه دیجیتال (DOI): 10.22061/jdma.2025.12144.1138 | ||
| نویسندگان | ||
| Gholam Hossein Fath-Tabar* 1؛ Neda Moradi2؛ Alain Bretto3 | ||
| 1Department of Mathematics, Statistics and Computer Science, Faculty of Science, University of Kashan, Kashan 87317-51167, I. R. Iran; | ||
| 2Department of Mathematics, Statistics and Computer Science, Faculty of Science, University of Kashan, Kashan 87317-51167, I. | ||
| 3Universite de Caen, GREYC CNRS UMR-6072, Campus II Bd Marechal Juin BP 5186, 14032 Caen cedex Caen, France | ||
| تاریخ دریافت: 17 خرداد 1404، تاریخ پذیرش: 18 مرداد 1404 | ||
| چکیده | ||
| The present paper investigates the structural properties of Cayley graphs and G-graphs associated with certain gyro-groups, providing rigorous proofs for several key characteristics. Additionally, we conduct a comprehensive review of specific classes of gyro-groups, including gyro-commutative gyro-groups, dihedral gyro-groups, and dihedralized gyro-groups. Subsequently, we derive and establish significant properties of the corresponding G-graphs. The study culminates in an examination of the symmetry properties exhibited by the Cayley graphs and G-graphs of selected gyro-groups, contributing to a deeper understanding of their algebraic and combinatorial structures. | ||
| کلیدواژه‌ها | ||
| gyro-group؛ Cayley graph؛ G-graph | ||
| مراجع | ||
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