source: Journal of Fundamental Mathematics and Applications (JFMA)
Abstract
The Study of algebraic structures, especially on graphs theory, leads to anew 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.
Concepts :
Finite Group Theory Research
Graph theory and applications
Graph Labeling and Dimension Problems
article
cite 6
Year 2020
source Journal of Fundamental Mathematics and Applications (JFMA)
Citations by Year
| Year | Count |
|---|---|
| 2020 | 6 |