On combinatorial properties of Cayley graphs of gyrogroups

DOI10.1142/s1793557124500074MaRDI QIDQ6650992

Rasimate Maungchang, P. Khachorncharoenkul, Teerapong Suksumran

Publication date: 9 December 2024

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

connectednessCayley graphgyrogroupvertex-transitivitybi-directional directed graph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Sets with a single binary operation (groupoids) (20N02)

Cites Work

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• Unit balls, Lorentz boosts, and hyperbolic geometry
• Finitely generated gyrovector subspaces and orthogonal gyrodecomposition in the Möbius gyrovector space
• Topological gyrogroups: generalization of topological groups
• Einstein gyrogroup as a B-loop
• Physical applications of homogeneous balls. With the assistance of Tzvi Scarr
• Extension of the Švarc-Milnor lemma to gyrogroups
• Isomorphism theorems for gyrogroups and L-subgyrogroups.
• Einstein's velocity addition law and its hyperbolic geometry
• RELATIVITY GROUPOID INSTEAD OF RELATIVITY GROUP
• Theory and Application of Graphs
• The Algebra of Gyrogroups: Cayley’s Theorem, Lagrange’s Theorem, and Isomorphism Theorems
• Gyrations: The Missing Link Between Classical Mechanics with Its Underlying Euclidean Geometry and Relativistic Mechanics with Its Underlying Hyperbolic Geometry
• Beyond the Einstein addition law and its gyroscopic Thomas precession. The theory of gyrogroups and gyrovector spaces
• Fuzzy gyronorms on gyrogroups

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