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BIPARTITE GRAPH ASSOCIATED WITH ELEMENTS AND COSETS OF SUBRINGS OF FINITE RINGS

BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 17 No. 2 (2023) · pp. 0667–0672

DOI
10.30598/barekengvol17iss2pp0667-0672
ISSN
2615-3017, 1978-7227
Published
2023-06-11
Publisher
PATTIMURA UNIVERSITY
Language
eng
License
creativecommons.org/licenses/by-sa/4.0

Abstract

Let be a finite ring. The bipartite graph associated to elements and cosets of subrings of is a simple undirected graph with vertex set, where is the set of all subrings of, and two vertices and are adjacent if and only if In this study, we investigate some basic properties of the graph. In particular, we investigate some properties of, where is the ring of matrices over Also, we study the diameter of the bipartite graph associated to the quaternion ring

Collaboration network of the authors

9 authors · 12 co-authorship links · 1 across different organisations

Hover or tap a name to highlight its co-authors. Double-click to open the author's page.

  • Universitas Gadjah Mada
  • Universitas Pamulang
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
Show as table
Co-authorOrganisationJoint articles
Muhammad Nurul HudaUniversitas Gadjah Mada1
Sri WahyuniUniversitas Gadjah Mada1
Agista Surya BawanaUniversitas Gadjah Mada1
Aluysius SutjijanaUniversitas Gadjah Mada1
Iik Nurul FatimahUniversitas Pamulang1

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 8 Nov 2026.
Original metadata (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">BIPARTITE GRAPH ASSOCIATED WITH ELEMENTS AND COSETS OF SUBRINGS OF FINITE RINGS</dc:title>
	<dc:creator>Muhammad, Hubbi</dc:creator>
	<dc:creator>Qonita, Niswah</dc:creator>
	<dc:creator>Wahyu Fibriyanti, R A</dc:creator>
	<dc:creator>Susanti, Yeni</dc:creator>
	<dc:description xml:lang="en-US">Let &amp;nbsp;be a finite ring. The bipartite graph associated to elements and cosets of subrings of &amp;nbsp;is a simple undirected graph &amp;nbsp;with vertex set , where &amp;nbsp;is the set of all subrings of , and two vertices &amp;nbsp;and &amp;nbsp;are adjacent if and only if &amp;nbsp;In this study, we investigate some basic properties of the graph . In particular, we investigate some properties of , where &amp;nbsp;is the ring of matrices over &amp;nbsp;Also, we study the diameter of the bipartite graph associated to the quaternion ring</dc:description>
	<dc:publisher xml:lang="en-US">PATTIMURA UNIVERSITY</dc:publisher>
	<dc:date>2023-06-11</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/6958</dc:identifier>
	<dc:identifier>10.30598/barekengvol17iss2pp0667-0672</dc:identifier>
	<dc:source xml:lang="en-US">BAREKENG: Jurnal Ilmu Matematika dan Terapan; Vol 17 No 2 (2023): BAREKENG: Journal of Mathematics and Its Applications; 0667-0672</dc:source>
	<dc:source>2615-3017</dc:source>
	<dc:source>1978-7227</dc:source>
	<dc:source>10.30598/barekengvol17iss2year2023</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/6958/5928</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2023 Hubbi Muhammad, Niswah Qonita, R A Wahyu Fibriyanti, Yeni Susanti</dc:rights>
	<dc:rights xml:lang="en-US">http://creativecommons.org/licenses/by-sa/4.0</dc:rights>
</oai_dc:dc>