Radius, Diameter, Multiplisitas Sikel, dan Dimensi Metrik Graf Komuting dari Grup Dihedral

Commuting graph C(G) of a non-Abelian group G is a graph that contains all elements of G as its vertex set and two distinct vertices in C(G) will be adjacent if they are commute in G. In this paper we discuss commuting graph of dihedral group D2n. We show radius, diameter, cycle multiplicity, and me...

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Autor principal:	Abdussakir Abdussakir
Formato:	article
Lenguaje:	EN
Publicado:	Department of Mathematics, UIN Sunan Ampel Surabaya 2017
Materias:	Diameter; Cylce multiplicity; Metric dimension; Commuting graph; Dihedral group Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/03c8f8a3a5a14740bd1c75133660f7eb
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spelling	oai:doaj.org-article:03c8f8a3a5a14740bd1c75133660f7eb2021-12-02T14:33:45ZRadius, Diameter, Multiplisitas Sikel, dan Dimensi Metrik Graf Komuting dari Grup Dihedral2527-31592527-316710.15642/mantik.2017.3.1.1-4https://doaj.org/article/03c8f8a3a5a14740bd1c75133660f7eb2017-10-01T00:00:00Zhttp://jurnalsaintek.uinsby.ac.id/index.php/mantik/article/view/156https://doaj.org/toc/2527-3159https://doaj.org/toc/2527-3167Commuting graph C(G) of a non-Abelian group G is a graph that contains all elements of G as its vertex set and two distinct vertices in C(G) will be adjacent if they are commute in G. In this paper we discuss commuting graph of dihedral group D2n. We show radius, diameter, cycle multiplicity, and metric dimension of this commuting graph in several theorems with their proof.Abdussakir AbdussakirDepartment of Mathematics, UIN Sunan Ampel SurabayaarticleDiameter; Cylce multiplicity; Metric dimension; Commuting graph; Dihedral groupMathematicsQA1-939ENMantik: Jurnal Matematika, Vol 3, Iss 1, Pp 1-4 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Diameter; Cylce multiplicity; Metric dimension; Commuting graph; Dihedral group Mathematics QA1-939
spellingShingle	Diameter; Cylce multiplicity; Metric dimension; Commuting graph; Dihedral group Mathematics QA1-939 Abdussakir Abdussakir Radius, Diameter, Multiplisitas Sikel, dan Dimensi Metrik Graf Komuting dari Grup Dihedral
description	Commuting graph C(G) of a non-Abelian group G is a graph that contains all elements of G as its vertex set and two distinct vertices in C(G) will be adjacent if they are commute in G. In this paper we discuss commuting graph of dihedral group D2n. We show radius, diameter, cycle multiplicity, and metric dimension of this commuting graph in several theorems with their proof.
format	article
author	Abdussakir Abdussakir
author_facet	Abdussakir Abdussakir
author_sort	Abdussakir Abdussakir
title	Radius, Diameter, Multiplisitas Sikel, dan Dimensi Metrik Graf Komuting dari Grup Dihedral
title_short	Radius, Diameter, Multiplisitas Sikel, dan Dimensi Metrik Graf Komuting dari Grup Dihedral
title_full	Radius, Diameter, Multiplisitas Sikel, dan Dimensi Metrik Graf Komuting dari Grup Dihedral
title_fullStr	Radius, Diameter, Multiplisitas Sikel, dan Dimensi Metrik Graf Komuting dari Grup Dihedral
title_full_unstemmed	Radius, Diameter, Multiplisitas Sikel, dan Dimensi Metrik Graf Komuting dari Grup Dihedral
title_sort	radius, diameter, multiplisitas sikel, dan dimensi metrik graf komuting dari grup dihedral
publisher	Department of Mathematics, UIN Sunan Ampel Surabaya
publishDate	2017
url	https://doaj.org/article/03c8f8a3a5a14740bd1c75133660f7eb
work_keys_str_mv	AT abdussakirabdussakir radiusdiametermultiplisitassikeldandimensimetrikgrafkomutingdarigrupdihedral
_version_	1718391111325581312

Radius, Diameter, Multiplisitas Sikel, dan Dimensi Metrik Graf Komuting dari Grup Dihedral

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