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THE INTERSECTION GRAPH REPRESENTATION OF A DIHEDRAL GROUP WITH PRIME ORDER AND ITS NUMERICAL INVARIANTS

BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 16 No. 3 (2022) · pp. 1013–1020

DOI
10.30598/barekengvol16iss3pp1013-1020
ISSN
2615-3017, 1978-7227
Published
2022-09-01
Publisher
PATTIMURA UNIVERSITY
Language
eng
License
creativecommons.org/licenses/by-sa/4.0

Abstract

One of the concepts in mathematics that developing rapidly today is Graph Theory. The development of Graph Theory has been combined with Group Theory, that is by representing a group in a graph. The intersection graph from group, noted by, is a graph whose vertices are all non-trivial subgroups of group and two distinct vertices are adjacent in if and only if. In this research the intersection graph of a Dihedral group, we looking for the shapes and numerical invariants. The results obtained are if for, then has a subgraphs and subgraphs, the girth of the graph is 3, radius and diameter of the graph in a row is 2 and 3, and the chromatic number of the graph is

Collaboration network of the authors

28 authors · 64 co-authorship links

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  • Universitas Pendidikan Ganesha
  • Affiliation unknown
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
Show as table
Co-authorOrganisationJoint articles
Fariz MaulanaAffiliation unknown3
Muhammad Naoval HusniAffiliation unknown2
Ayes Malona SiboroAffiliation unknown2
Qurratul AiniAffiliation unknown2
Hanna SyafitriAffiliation unknown1
Abdul Gazir SyarifudinAffiliation unknown1
Lalu Riski Wirendra PutraAffiliation unknown1
Zata Yumni AwanisAffiliation unknown1
Salwa SalwaAffiliation unknown1
M. AfdhaluzzikriAffiliation unknown1
Hena Rani BiswasAffiliation unknown1
Sarwa HitaAffiliation unknown1
Nguyen Dang Hoa NghiemAffiliation unknown1
Ni Komang Tri DharmayaniAffiliation unknown1
Putu Kartika DewiUniversitas Pendidikan Ganesha1
I Nengah SupartaAffiliation unknown1
Baiq Rika Ayu FebriliaAffiliation unknown1
M FauzulAffiliation unknown1
Putri Kurnia ChairunnisaAffiliation unknown1
Satriawan PradanaAffiliation unknown1
Rio SatriyantaraAffiliation unknown1
Na'imah HijriatiAffiliation unknown1
Sefti Fajriatul MusyarrofahAffiliation unknown1
Dimas IndrawadiAffiliation unknown1
Hazzirah Izzati HassimAffiliation unknown1

Affiliations come from OpenAlex; journal OAI-PMH metadata carries none. Authors without an OpenAlex ID are matched by name, which can merge or split people.

Metadata source: OAI-PMH (metadata jurnal) https://ojs3.unpatti.ac.id/index.php/barekeng/oai, first harvested 5 Nov 2026, last seen 5 Nov 2026.
Original metadata (oai_dc) 
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	<dc:title xml:lang="en-US">THE INTERSECTION GRAPH REPRESENTATION OF A DIHEDRAL GROUP WITH PRIME ORDER AND ITS NUMERICAL INVARIANTS</dc:title>
	<dc:creator>Ramdani, Dewi Santri</dc:creator>
	<dc:creator>Wardhana, I Gede Adhitya Wisnu</dc:creator>
	<dc:creator>Awanis, Zatta Yumni</dc:creator>
	<dc:description xml:lang="en-US">One of the concepts in mathematics that developing rapidly today is Graph Theory. The development of Graph Theory has been combined with Group Theory, that is by representing a group in a graph. The intersection graph from group , noted by , is a graph whose vertices are all non-trivial subgroups of group &amp;nbsp;and two distinct vertices &amp;nbsp;are adjacent in &amp;nbsp;if and only if . In this research the intersection graph of a Dihedral &amp;nbsp;group, we looking for the shapes and numerical invariants. The results obtained are if &amp;nbsp;for , then &amp;nbsp;has a subgraphs &amp;nbsp;and &amp;nbsp;subgraphs , the girth of the graph &amp;nbsp;is 3, radius and diameter of the graph &amp;nbsp;in a row is 2 and 3, and the chromatic number of the graph &amp;nbsp;is &amp;nbsp;</dc:description>
	<dc:publisher xml:lang="en-US">PATTIMURA UNIVERSITY</dc:publisher>
	<dc:date>2022-09-01</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/6235</dc:identifier>
	<dc:identifier>10.30598/barekengvol16iss3pp1013-1020</dc:identifier>
	<dc:source xml:lang="en-US">BAREKENG: Jurnal Ilmu Matematika dan Terapan; Vol 16 No 3 (2022): BAREKENG: Journal of Mathematics and Its Applications; 1013-1020</dc:source>
	<dc:source>2615-3017</dc:source>
	<dc:source>1978-7227</dc:source>
	<dc:source>10.30598/barekengvol16iss3year2022</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/6235/4625</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2022 Dewi Santri Ramdani, I Gede Adhitya Wisnu Wardhana, Zatta Yumni Awanis</dc:rights>
	<dc:rights xml:lang="en-US">http://creativecommons.org/licenses/by-sa/4.0</dc:rights>
</oai_dc:dc>