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All Journal BAREKENG: Jurnal Ilmu Matematika dan Terapan
Saputra, Lamanisa Rasid
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Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Energy Engineering Mathematics Mechanical Engineering Physics Transportation

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THE LOCATING RAINBOW CONNECTION NUMBERS OF LOLLIPOP AND BARBELL GRAPHS Bustan, Ariestha Widyastuty; Talib, Taufan; Laamena, Novita Serly; Saputra, Lamanisa Rasid; Nurhayati, Nurhayati
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 19 No 4 (2025): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol19iss4pp2727-2738

Abstract

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 .
Co-Authors Bustan, Ariestha Widyastuty Laamena, Novita Serly Nurhayati Nurhayati Taufan Talib