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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Detalles Bibliográficos
Autores principales: Maungchang, Rasimate, Khachorncharoenkul, Prathomjit, Prathom, Kiattisak, Suksumran, Teerapong
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier 2021
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8134976/
https://www.ncbi.nlm.nih.gov/pubmed/34036204
http://dx.doi.org/10.1016/j.heliyon.2021.e07049
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author Maungchang, Rasimate
Khachorncharoenkul, Prathomjit
Prathom, Kiattisak
Suksumran, Teerapong
author_facet Maungchang, Rasimate
Khachorncharoenkul, Prathomjit
Prathom, Kiattisak
Suksumran, Teerapong
author_sort Maungchang, Rasimate
collection PubMed
description 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 subgyrogroups and the connected components of Cayley graphs. Some examples and applications regarding these findings are provided.
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spelling pubmed-81349762021-05-24 On transitivity and connectedness of Cayley graphs of gyrogroups Maungchang, Rasimate Khachorncharoenkul, Prathomjit Prathom, Kiattisak Suksumran, Teerapong Heliyon Research Article 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 subgyrogroups and the connected components of Cayley graphs. Some examples and applications regarding these findings are provided. Elsevier 2021-05-11 /pmc/articles/PMC8134976/ /pubmed/34036204 http://dx.doi.org/10.1016/j.heliyon.2021.e07049 Text en © 2021 The Author(s) https://creativecommons.org/licenses/by-nc-nd/4.0/This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
spellingShingle Research Article
Maungchang, Rasimate
Khachorncharoenkul, Prathomjit
Prathom, Kiattisak
Suksumran, Teerapong
On transitivity and connectedness of Cayley graphs of gyrogroups
title On transitivity and connectedness of Cayley graphs of gyrogroups
title_full On transitivity and connectedness of Cayley graphs of gyrogroups
title_fullStr On transitivity and connectedness of Cayley graphs of gyrogroups
title_full_unstemmed On transitivity and connectedness of Cayley graphs of gyrogroups
title_short On transitivity and connectedness of Cayley graphs of gyrogroups
title_sort on transitivity and connectedness of cayley graphs of gyrogroups
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8134976/
https://www.ncbi.nlm.nih.gov/pubmed/34036204
http://dx.doi.org/10.1016/j.heliyon.2021.e07049
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