Peer Review: SOME PROPERTIES OF COPRIME GRAPH OF DIHEDRAL GROUP D_2n WHEN n IS A PRIME POWER

Syarifudin, Adbul Gazir (2023) Peer Review: SOME PROPERTIES OF COPRIME GRAPH OF DIHEDRAL GROUP D_2n WHEN n IS A PRIME POWER. UNDIP. (Unpublished)

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Abstract

The Study of algebraic structures, especially on graphs theory, leads to a new topics of research in recent years. In this paper, the algebraic structures that will be represented by a coprime graph are the dihedral group and its subgroups. The coprime graph of a group G, denoted by \Gamma_D_2n is a graph whose vertices are elements of G and two distinct vertices a and b are adjacent if only if (|a,|b|)=1. Some properties of the coprime graph of a dihedral group D_2n are obtained. One of the results is if n is prime then \Gamma_D_2n is a complete bipartite graph. Moreover, if n is the power of prime then \Gamma_D_2n is a multipartite graph.

Item Type: Other
Subjects: Q Science > QA Mathematics
Divisions: Fakultas Matematika dan ilmu Pengetahuan Alam
Depositing User: Dr. I Gede Adhitya Wisnu Wardhana
Date Deposited: 06 Apr 2023 03:37
Last Modified: 06 Apr 2023 03:37
URI: http://eprints.unram.ac.id/id/eprint/36044

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