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

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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Main Author: Abdussakir Abdussakir
Format: Article
Language:English
Published: Faculty of Science and Technology, UIN Sunan Ampel Surabaya 2017-10-01
Series:Mantik: Jurnal Matematika
Subjects:
Diameter; Cylce multiplicity; Metric dimension; Commuting graph; Dihedral group
Online Access:http://jurnalsaintek.uinsby.ac.id/index.php/mantik/article/view/156
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spelling doaj-03c8f8a3a5a14740bd1c75133660f7eb2021-05-02T07:27:10ZengFaculty of Science and Technology, UIN Sunan Ampel SurabayaMantik: Jurnal Matematika2527-31592527-31672017-10-01311410.15642/mantik.2017.3.1.1-4156Radius, Diameter, Multiplisitas Sikel, dan Dimensi Metrik Graf Komuting dari Grup DihedralAbdussakir Abdussakir0Universitas Islam Negeri Maulana Malik Ibrahim MalangCommuting 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.http://jurnalsaintek.uinsby.ac.id/index.php/mantik/article/view/156Diameter; Cylce multiplicity; Metric dimension; Commuting graph; Dihedral group
collection DOAJ
language English
format Article
sources DOAJ
author Abdussakir Abdussakir
spellingShingle Abdussakir Abdussakir
Radius, Diameter, Multiplisitas Sikel, dan Dimensi Metrik Graf Komuting dari Grup Dihedral
Mantik: Jurnal Matematika
Diameter; Cylce multiplicity; Metric dimension; Commuting graph; Dihedral group
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 Faculty of Science and Technology, UIN Sunan Ampel Surabaya
series Mantik: Jurnal Matematika
issn 2527-3159
2527-3167
publishDate 2017-10-01
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.
topic Diameter; Cylce multiplicity; Metric dimension; Commuting graph; Dihedral group
url http://jurnalsaintek.uinsby.ac.id/index.php/mantik/article/view/156
work_keys_str_mv AT abdussakirabdussakir radiusdiametermultiplisitassikeldandimensimetrikgrafkomutingdarigrupdihedral
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