On transitivity and connectedness of Cayley graphs of gyrogroups

On transitivity and connectedness of Cayley graphs of gyrogroups

In this work, we explore edge direction, transitivity, and connectedness of Cayley graphs of gyrogroups. More specifically, we find conditions for a Cayley graph of a gyrogroup to be undirected, transitive, and connected. We also show a relationship between the cosets of a certain type of subgyrogro...

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Bibliographic Details
Main Authors: Rasimate Maungchang, Prathomjit Khachorncharoenkul, Kiattisak Prathom, Teerapong Suksumran
Format: Article
Language:English
Published: Elsevier 2021-05-01
Series:Heliyon
Subjects:
Gyrogroup
Cayley graph
Undirected graph
Transitivity
Connectedness
Online Access:http://www.sciencedirect.com/science/article/pii/S240584402101152X

Internet

http://www.sciencedirect.com/science/article/pii/S240584402101152X

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