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Partition Dimension of Dutch Windmill Graph: Dimensi Partisi Graf Kincir Angin Belanda untuk siklus orde besar

Jurnal Matematika, Statistika dan Komputasi · Vol. 17 No. 3 (2021) · pp. 472–483

DOI
10.20956/j.v17i3.13596
ISSN
2614-8811, 1858-1382
Published
2021-05-12
Publisher
Department of Mathematics, Hasanuddin University
Language
en
License
creativecommons.org/licenses/by/4.0

Abstract

English

Let be a connected graph G and -partition of end. The coordinat to is definition. If every twovertex is distinct applies, then is a called partition of. The minimum k for which k-resolving partition of is the partition dimension and denoted with. In this paper, we investigates the partition dimensionfor a large Dutch windmill graph for and. We show that if for some, forany.

Indonesian

Misalkan terdapat sebuah graf terhubung dan buah partisi dari dan. Koordinat terhadap didefinisikan sebagai. Jika untuk setiap dua titik berbeda berlaku, maka disebut -partisi pembeda dari. Nilai minimum agar terdapat -partisi pembeda dari adalah dimensi partisi dari atau sering dinotasikan dengan. Dalam makalahiniamalgamasi graf siklusdisebut graf kincir angin Belanda dengan notasi dan dimensi partisinya dinotasikan Pada penelitian ini telah ditunjukkan bahwa untuk suatu, untuk suatu bilangan positif dan.

Keywords

Collaboration network of the authors

37 authors · 69 co-authorship links · 5 across different organisations

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

  • Hasanuddin University
  • Telkom University
  • Bandung Institute of Technology
  • Affiliation unknown
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
Show as table
Co-authorOrganisationJoint articles
Loeky HaryantoHasanuddin University4
Jusmawati MassalesseHasanuddin University3
Nur ErawatiAffiliation unknown2
Nurdin HindingHasanuddin University2
Mawardi BahriHasanuddin University2
Naimah ArisHasanuddin University2
St. Munieroh FachrunnisaHasanuddin University2
Ari Moesriami BarmawiTelkom University1
Jeriko GormantaraHasanuddin University1
Hanni GarminiaBandung Institute of Technology1
Evan RamdanHasanuddin University1
Afriani AfrianiAffiliation unknown1
Qharnida KharianiAffiliation unknown1
Hasmawati BasirHasanuddin University1
Theresia Alex RimaHasanuddin University1
Asriadi AsriadiAffiliation unknown1
Winda AritonangAffiliation unknown1
Armin LawiHasanuddin University1
Nurhidayah NurhidayahHasanuddin University1
Safriadi SafriadiAffiliation unknown1
Afif Budi Andy BHasanuddin University1
Yudhiyanto SupriadiHasanuddin University1
Aidah Nabilah AnwarAffiliation unknown1
Haspika HaspikaHasanuddin University1
Jeki SaputraHasanuddin University1
Andi Muhammad AnwarHasanuddin University1
Muh. NurHasanuddin University1
Ananda Dwi Nabila NandaHasanuddin University1
Ervie Yuniarti Astika MustafaputriHasanuddin University1
Nurhafizah NurhafizahHasanuddin University1
Nur ErawatyHasanuddin University1
Heryati Nur Fatimah SariHasanuddin University1
Sri IndrayaniHasanuddin University1

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://journal.unhas.ac.id/index.php/jmsk/oai, first harvested 5 Nov 2026, last seen 5 Nov 2026.
Original metadata (oai_dc) 
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	<dc:title xml:lang="en">Partition Dimension of Dutch Windmill Graph: Dimensi Partisi Graf Kincir Angin Belanda untuk siklus orde besar</dc:title>
	<dc:creator xml:lang="en">Hasmawati, Hasmawati</dc:creator>
	<dc:creator xml:lang="en">Nurwahyu, Budi </dc:creator>
	<dc:creator xml:lang="en">Daming, Ahmad Syukur </dc:creator>
	<dc:creator xml:lang="en">Amir, Amir Kamal</dc:creator>
	<dc:subject xml:lang="en">Partition Dimension</dc:subject>
	<dc:subject xml:lang="en">Amalgamation</dc:subject>
	<dc:subject xml:lang="en">Cycle Graph</dc:subject>
	<dc:description xml:lang="en">Let be a connected graph G and -partition&amp;nbsp;of &amp;nbsp;end . The coordinat&amp;nbsp;to &amp;nbsp;is definition . If every twovertex is distinct &amp;nbsp;applies, then &amp;nbsp;is a called&amp;nbsp;&amp;nbsp;partition of . The minimum k for which k-resolving partition of &amp;nbsp;is the partition dimension &amp;nbsp;and denoted with . In this paper, we investigates the partition dimensionfor a large Dutch windmill graph &amp;nbsp;for &amp;nbsp;and . We&amp;nbsp;show that if &amp;nbsp;for some,&amp;nbsp;forany.</dc:description>
	<dc:description xml:lang="id">Misalkan terdapat sebuah graf terhubung &amp;nbsp;dan &amp;nbsp;buah partisi &amp;nbsp;dari &amp;nbsp;dan . Koordinat &amp;nbsp;terhadap &amp;nbsp;didefinisikan sebagai . Jika untuk setiap dua titik berbeda &amp;nbsp;berlaku , maka &amp;nbsp;disebut -partisi pembeda dari . Nilai minimum &amp;nbsp;agar terdapat -partisi pembeda dari &amp;nbsp;adalah dimensi partisi dari &amp;nbsp;atau sering dinotasikan dengan . Dalam makalahiniamalgamasi graf siklusdisebut graf kincir angin Belanda dengan notasi &amp;nbsp;dan dimensi partisinya dinotasikan&amp;nbsp;Pada penelitian ini telah ditunjukkan bahwa untuk suatu , &amp;nbsp;untuk suatu bilangan positif &amp;nbsp;&amp;nbsp;dan&amp;nbsp;.
&amp;nbsp;</dc:description>
	<dc:publisher xml:lang="en">Department of Mathematics, Hasanuddin University</dc:publisher>
	<dc:date>2021-05-12</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://journal.unhas.ac.id/index.php/jmsk/article/view/13596</dc:identifier>
	<dc:identifier>10.20956/j.v17i3.13596</dc:identifier>
	<dc:source xml:lang="en">Jurnal Matematika, Statistika dan Komputasi; Vol. 17 No. 3 (2021):  May, 2021; 472-483</dc:source>
	<dc:source>2614-8811</dc:source>
	<dc:source>1858-1382</dc:source>
	<dc:language>en</dc:language>
	<dc:relation>https://journal.unhas.ac.id/index.php/jmsk/article/view/13596/6744</dc:relation>
	<dc:relation>10.20956/j.v17i3.13596.g6744</dc:relation>
	<dc:rights xml:lang="en">Copyright (c) 2021 Author and publisher</dc:rights>
	<dc:rights xml:lang="en">https://creativecommons.org/licenses/by/4.0</dc:rights>
</oai_dc:dc>