Bilangan Kromatik Graf Commuting dan Non Commuting Grup Dihedral

Rahayuningtyas, Handrini and Abdussakir, Abdussakir and Nashichuddin, Ach. (2015) Bilangan Kromatik Graf Commuting dan Non Commuting Grup Dihedral. Cauchy: Jurnal Matematika Murni dan Aplikasi, 4 (1). pp. 16-21. ISSN 2086-0382

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Abstract

Commuting graph is a graph that has a set of points X and two different vertices to be connected directly if each commutative in G. Let G non abelian group and Z(G) is a center of G. Noncommuting graph is a graph which the the vertex is a set of G\Z(G) and two vertices x and y are adjacent if and only if xy≠yx. The vertex colouring of G is giving k colour at the vertex, two vertices that are adjacent not given the same colour. Edge colouring of G is two edges that have common vertex are coloured with different colour. The smallest number k so that a graph can be coloured by assigning k colours to the vertex and edge called chromatic number. In this article, it is available the general formula of chromatic number of commuting and noncommuting graph of dihedral group

Item Type: Journal Article
Keywords: chromatic number; vertex colouring; edge colouring; commuting and noncommuting graph; dihedral group
Subjects: 01 MATHEMATICAL SCIENCES > 0101 Pure Mathematics > 010104 Combinatorics and Discrete Mathematics (excl. Physical Combinatorics)
01 MATHEMATICAL SCIENCES > 0101 Pure Mathematics > 010105 Group Theory and Generalisations
Divisions: Faculty of Mathematics and Sciences > Department of Mathematics
Depositing User: Abdussakir Abdussakir
Date Deposited: 31 Mar 2017 01:41

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