Melola Discovery

← Melola Discovery

Akses terbuka Jurnal SINTA 3

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

BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 17 No. 3 (2023) · hlm. 1695–1702

DOI
10.30598/barekengvol17iss3pp1695-1702
ISSN
2615-3017, 1978-7227
Terbit
2023-09-30
Penerbit
PATTIMURA UNIVERSITY
Bahasa
eng
Lisensi
creativecommons.org/licenses/by-sa/4.0

Abstrak

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.

Jaringan kolaborasi para penulis

7 penulis · 10 tautan kepenulisan bersama

Arahkan kursor atau ketuk sebuah nama untuk menyorot rekan penulisnya. Klik dua kali untuk membuka halaman penulis.

  • Universitas Gadjah Mada
  • Organisasi berbeda
  • Organisasi sama
  • Afiliasi tidak diketahui
  • Garis lebih tebal = lebih banyak artikel bersama · lingkaran lebih besar = lebih banyak artikel
Tampilkan sebagai tabel
Rekan penulisOrganisasiArtikel bersama
Hubbi MuhammadUniversitas Gadjah Mada1
Niswah QonitaUniversitas Gadjah Mada1
Regita Agustin Wahyu FibriyantiUniversitas Gadjah Mada1
Muhammad Nurul HudaUniversitas Gadjah Mada1

Afiliasi berasal dari OpenAlex; metadata OAI-PMH jurnal tidak memuatnya. Penulis tanpa ID OpenAlex dicocokkan berdasarkan nama, sehingga dua orang bisa tergabung atau satu orang bisa terpisah.

Sumber metadata: OAI-PMH (metadata jurnal) https://ojs3.unpatti.ac.id/index.php/barekeng/oai, pertama di-harvest 5 Nov 2026, terakhir terlihat 8 Nov 2026.
Metadata asli (oai_dc) 
<oai_dc:dc xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/  http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
	<dc:title xml:lang="en-US">ON THE GIRTH, INDEPENDENCE NUMBER, AND WIENER INDEX OF COPRIME GRAPH OF DIHEDRAL GROUP</dc:title>
	<dc:creator>Bawana, Agista Surya</dc:creator>
	<dc:creator>Sutjijana, Aluysius</dc:creator>
	<dc:creator>Susanti, Yeni</dc:creator>
	<dc:description xml:lang="en-US">The coprime graph of a finite group  , denoted by  , is a graph with vertex set  &amp;nbsp;such that two distinct vertices  &amp;nbsp;and  &amp;nbsp;are adjacent if and only if their orders are coprime, i.e.,  &amp;nbsp;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  &amp;nbsp;if  , for some  &amp;nbsp;and  &amp;nbsp;if  . Moreover, we prove that if  &amp;nbsp;is even, then the independence number of  &amp;nbsp;is  , where  &amp;nbsp;is the greatest odd divisor of  &amp;nbsp;and if  &amp;nbsp;is odd, then the independence number of  &amp;nbsp;is  . Furthermore, the Wiener index of coprime graph of dihedral group has been stated here.</dc:description>
	<dc:publisher xml:lang="en-US">PATTIMURA UNIVERSITY</dc:publisher>
	<dc:date>2023-09-30</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
	<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/8905</dc:identifier>
	<dc:identifier>10.30598/barekengvol17iss3pp1695-1702</dc:identifier>
	<dc:source xml:lang="en-US">BAREKENG: Jurnal Ilmu Matematika dan Terapan; Vol 17 No 3 (2023): BAREKENG: Journal of Mathematics and Its Applications; 1695-1702</dc:source>
	<dc:source>2615-3017</dc:source>
	<dc:source>1978-7227</dc:source>
	<dc:source>10.30598/barekengvol17iss3year2023</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/8905/6583</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2023 Agista Surya Bawana, Aluysius Sutjijana, Yeni Susanti</dc:rights>
	<dc:rights xml:lang="en-US">http://creativecommons.org/licenses/by-sa/4.0</dc:rights>
</oai_dc:dc>