Some results of non-coprime graph of the dihedral group D2n for n a prime power

Misuki, Wahyu Ulyafandhie (2021) Some results of non-coprime graph of the dihedral group D2n for n a prime power. AIP Conference Proceedings. ISSN 0094243X, 15517616

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Abstract

A graph of a finite group � whose vertices are all elements of � except the identity element, and edges defined as ��, � ∈ ��� if and only if �|�|, |�| ≠ 1 is called a non-coprime graph of � and denoted by Γ����. In this paper we give some properties of non-coprime graphs of a dihedral group ���, when � is a prime power. One main result of this paper shows that Γ���� is either a complete graph or can be partitioned into two complete graphs.

Item Type: Article
Subjects: Q Science > QA Mathematics
Divisions: Fakultas Matematika dan ilmu Pengetahuan Alam
Depositing User: Dr. I Gede Adhitya Wisnu Wardhana
Date Deposited: 10 Apr 2023 06:50
Last Modified: 10 Apr 2023 06:50
URI: http://eprints.unram.ac.id/id/eprint/36087

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