DOI: https://doi.org/10.14710/jfma.v3i1.7413

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

Abdul Gazir S  -  Departement of Mathematics, Universitas Mataram, Indonesia
*I Gede Adhitya Wisnu Wardhana  -  Departement of Mathematics, Universitas Mataram, Indonesia
Ni Wayan Switrayni  -  Departement of Mathematics, Universitas Mataram, Indonesia
Qurratul Aini  -  Departement of Mathematics, Universitas Mataram, Indonesia

Citation Format:
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.

Fulltext View|Download

Article Metrics:

Article Info
Section: FUNDAMENTAL MATHEMATICS AND APPLICATIONS
Language : EN
Recent articles
NUMERICAL SIMULATION OF STOCHASTIC DIFFERENTIAL EQUATIONS USING IMPLICIT MILSTEIN METHOD RUANG BERNORMA LENGKAP ATAS OPERATOR LINEAR TERBATAS PADA RUANG FUNGSI TERINTEGRAL DUNFORD EASY ENSEMMBLE WITH RANDOM FOREST TO HANDLE IMBALANCED DATA IN CLASSIFICATION More recent articles
  1. X.L. Ma, H.Q. Wei, and L.Y. Yang, ”The coprime graph of a group,” International Journal of Group Theory, vol. 3, no. 3, pp. 13–23, 2014
  2. R. Munir, Matematika Diskrit. Bandung: Penerbit Informatika, 2010
  3. H.M. Dorbidi, ”A note on the coprime graph of a group,” International Journal of Group Theory, vol. 5, no. 4, pp. 17–22, 2016
  4. J. B. Fraleigh, A First Course in Abstract Algebra. Harlow: Pearson New International Edition, 2014
  5. A. Gazir S and I.G.A.W. Wardhana, ”Subgrup Non Trivial Dari Grup Dihedral,” Eigen Mathematics Journal, vol. 2, no. 2, pp. 73–76, 2019

Last update:

No citation recorded.

Last update:

No citation recorded.