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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.

Bahasa Indonesia

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

40 authors · 95 co-authorship links · 4 across different organisations · showing the 40 most connected

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

  • Universitas Halu Oleo
  • Telkom University
  • Institut Agama Islam Muhammadiyah Sinjai
  • Hasanuddin University
  • Affiliation unknown
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
Show as table
Co-authorOrganisationJoint articles
Loeky HaryantoAffiliation unknown4
Jusmawati MassalesseAffiliation unknown3
Nur ErawatiAffiliation unknown2
Nurdin HindingAffiliation unknown2
Mawardi BahriAffiliation unknown2
Naimah ArisAffiliation unknown2
Ari Moesriami BarmawiTelkom University1
Rimba HamidUniversitas Halu Oleo1
Nana SumarnaUniversitas Halu Oleo1
La Ili La IliAffiliation unknown1
Aris BadaraUniversitas Halu Oleo1
Amirudin RahimAffiliation unknown1
Ida SriwatyAffiliation unknown1
Waode SuarniAffiliation unknown1
Saleh SalehAffiliation unknown1
La Ndia La NdiaAffiliation unknown1
Andi SadapottoAffiliation unknown1
Haidir JibranAffiliation unknown1
Irfan Hakim MaridiAffiliation unknown1
Amanda Putri sAffiliation unknown1
Dhea Rizky MalindaAffiliation unknown1
Denaya Mutiara SalsaAffiliation unknown1
Dila Amelia PutriAffiliation unknown1
Vanessa J.A. PandelakiAffiliation unknown1
Jeriko GormantaraAffiliation unknown1
Hanni GarminiaAffiliation unknown1
Evan RamdanAffiliation unknown1
Afriani AfrianiAffiliation unknown1
Qharnida KharianiAffiliation unknown1
Hasmawati BasirAffiliation unknown1
Theresia Alex RimaAffiliation unknown1
Asriadi AsriadiInstitut Agama Islam Muhammadiyah Sinjai1
winda aritonangAffiliation unknown1
Armin LawiHasanuddin University1
Nurhidayah NurhidayahUniversitas Halu Oleo1
Safriadi SafriadiAffiliation 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://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>