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THE LOCATING RAINBOW CONNECTION NUMBERS OF LOLLIPOP AND BARBELL GRAPHS

BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 19 No. 4 (2025) · hlm. 2727–2738

DOI
10.30598/barekengvol19iss4pp2727-2738
ISSN
2615-3017, 1978-7227
Terbit
2025-09-01
Penerbit
PATTIMURA UNIVERSITY
Bahasa
eng
Lisensi
creativecommons.org/licenses/by-sa/4.0

Abstrak

The concept of the locating rainbow connection number of a graph is an innovation in graph coloring theory that combines the concepts of rainbow vertex coloring and partition dimension on graphs. This concept aims to determine the smallest positive integer such that there exists a locating rainbow -coloring on the graph, ensuring that every vertex has a unique rainbow code. In this study, we investigate the locating rainbow connection number of the lollipop graph and barbell graph. Using a literature study method, hypotheses were formulated and proven through theoretical analysis. The results show that and.

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  • Bandung Institute of Technology
  • Universitas Pattimura
  • University of Washington
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Rekan penulisOrganisasiArtikel bersama
Utriweni MukhaiyarBandung Institute of Technology1
Kurnia Novita SariBandung Institute of Technology1
Muhammad Rozzaq HamidiBandung Institute of Technology1

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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) 
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	<dc:title xml:lang="en-US">THE LOCATING RAINBOW CONNECTION NUMBERS OF LOLLIPOP AND BARBELL GRAPHS</dc:title>
	<dc:creator>Bustan, Ariestha Widyastuty</dc:creator>
	<dc:creator>Talib, Taufan</dc:creator>
	<dc:creator>Laamena, Novita Serly</dc:creator>
	<dc:creator>Saputra, Lamanisa Rasid</dc:creator>
	<dc:creator>Nurhayati, Nurhayati</dc:creator>
	<dc:description xml:lang="en-US">The concept of the locating rainbow connection number of a graph is an innovation in graph coloring theory that combines the concepts of rainbow vertex coloring and partition dimension on graphs. This concept aims to determine the smallest positive integer  such that there exists a locating rainbow  -coloring on the graph, ensuring that every vertex has a unique rainbow code. In this study, we investigate the locating rainbow connection number of the lollipop graph  &amp;nbsp;and barbell graph  . Using a literature study method, hypotheses were formulated and proven through theoretical analysis. The results show that  &amp;nbsp;and  .</dc:description>
	<dc:publisher xml:lang="en-US">PATTIMURA UNIVERSITY</dc:publisher>
	<dc:date>2025-09-01</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/17709</dc:identifier>
	<dc:identifier>10.30598/barekengvol19iss4pp2727-2738</dc:identifier>
	<dc:source xml:lang="en-US">BAREKENG: Jurnal Ilmu Matematika dan Terapan; Vol 19 No 4 (2025): BAREKENG: Journal of Mathematics and Its Application; 2727-2738</dc:source>
	<dc:source>2615-3017</dc:source>
	<dc:source>1978-7227</dc:source>
	<dc:source>10.30598/barekengvol19iss4year2025</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/17709/11167</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2025 Ariestha Widyastuty Bustan, Taufan Talib, Novita Serly Laamena, Lamanisa Rasid Saputra, Nurhayati Nurhayati</dc:rights>
	<dc:rights xml:lang="en-US">http://creativecommons.org/licenses/by-sa/4.0</dc:rights>
</oai_dc:dc>