BAREKENG: Jurnal Ilmu Matematika dan Terapan
Vol 17 No 3 (2023): BAREKENG: Journal of Mathematics and Its Applications

ON THE GIRTH, INDEPENDENCE NUMBER, AND WIENER INDEX OF COPRIME GRAPH OF DIHEDRAL GROUP

Agista Surya Bawana (Department of Mathematics, Faculty of Mathematics and Natural Science, Universitas Gadjah Mada, Indonesia)
Aluysius Sutjijana (Department of Mathematics, Faculty of Mathematics and Natural Science, Universitas Gadjah Mada, Indonesia)
Yeni Susanti (Department of Mathematics, Faculty of Mathematics and Natural Science, Universitas Gadjah Mada, Indonesia)

Article Info

Publish Date
30 Sep 2023

Abstract

The coprime graph of a finite group , denoted by , is a graph with vertex set such that two distinct vertices and are adjacent if and only if their orders are coprime, i.e., where |x| is the order of x. In this paper, we complete the form of the coprime graph of a dihedral group that was given by previous research and it has been proved that if , for some and if . Moreover, we prove that if is even, then the independence number of is , where is the greatest odd divisor of and if is odd, then the independence number of is . Furthermore, the Wiener index of coprime graph of dihedral group has been stated here.

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Journal Info
BAREKENG: Jurnal Ilmu Matematika dan Terapan
Website

Abbrev

barekeng

Publisher

Universitas Pattimura

Subject

Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Energy Engineering Mathematics Mechanical Engineering Physics Transportation

Description

BAREKENG: Jurnal ilmu Matematika dan Terapan is one of the scientific publication media, which publish the article related to the result of research or study in the field of Pure Mathematics and Applied Mathematics. Focus and scope of BAREKENG: Jurnal ilmu Matematika dan Terapan, as follows: - Pure ...