The extreme vertices of the power graph of a group

For a fixed finite group G, the power graph of G was defined to be the simple graph [Formula: see text] whose vertex set [Formula: see text] , and edge set [Formula: see text]. In this paper the extreme vertices of the power graph of abelian groups, dihedral groups and dicyclic groups have been char...

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Detalles Bibliográficos
Autores principales: AbuGhneim, Omar A., Abudayah, Mohammed
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier 2022
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9800539/
https://www.ncbi.nlm.nih.gov/pubmed/36590476
http://dx.doi.org/10.1016/j.heliyon.2022.e12443
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author AbuGhneim, Omar A.
Abudayah, Mohammed
author_facet AbuGhneim, Omar A.
Abudayah, Mohammed
author_sort AbuGhneim, Omar A.
collection PubMed
description For a fixed finite group G, the power graph of G was defined to be the simple graph [Formula: see text] whose vertex set [Formula: see text] , and edge set [Formula: see text]. In this paper the extreme vertices of the power graph of abelian groups, dihedral groups and dicyclic groups have been characterized.
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spelling pubmed-98005392022-12-31 The extreme vertices of the power graph of a group AbuGhneim, Omar A. Abudayah, Mohammed Heliyon Research Article For a fixed finite group G, the power graph of G was defined to be the simple graph [Formula: see text] whose vertex set [Formula: see text] , and edge set [Formula: see text]. In this paper the extreme vertices of the power graph of abelian groups, dihedral groups and dicyclic groups have been characterized. Elsevier 2022-12-15 /pmc/articles/PMC9800539/ /pubmed/36590476 http://dx.doi.org/10.1016/j.heliyon.2022.e12443 Text en © 2022 The Author(s) https://creativecommons.org/licenses/by/4.0/This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Research Article
AbuGhneim, Omar A.
Abudayah, Mohammed
The extreme vertices of the power graph of a group
title The extreme vertices of the power graph of a group
title_full The extreme vertices of the power graph of a group
title_fullStr The extreme vertices of the power graph of a group
title_full_unstemmed The extreme vertices of the power graph of a group
title_short The extreme vertices of the power graph of a group
title_sort extreme vertices of the power graph of a group
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9800539/
https://www.ncbi.nlm.nih.gov/pubmed/36590476
http://dx.doi.org/10.1016/j.heliyon.2022.e12443
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