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All Journal BAREKENG: Jurnal Ilmu Matematika dan Terapan
A. N. M. Salman
Combinatorial Mathematics Research Group, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Indonesia
Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Energy Engineering Mathematics Mechanical Engineering Physics Transportation

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THE LOCATING RAINBOW EDGE CONNECTION NUMBERS OF SOME GENERALIZED SUN GRAPHS Muhammad Ahnaf Yusuf; A. N. M. Salman; Mukayis Mukayis
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 20 No 4 (2026): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol20iss4pp3519-3532

Abstract

Throughout this paper, G denotes a finite, simple, connected, and undirected graph. The concept of the locating rainbow edge connection number is motivated by the concept of the locating rainbow connection number in which the coloring is assigned to edges while preserving the locating property. The coloring focuses on determining the smallest natural number k such that there exists a locating rainbow edge -coloring of a graph such that every edge has a distinct rainbow code. In this paper, we define standard generalized sun graphs and leveled generalized sun graphs . We determine their locating rainbow edge connection numbers. The results are obtained through a theoretical approach and observations of graph structures with rigorous mathematical proofs. The results of Sun(n,p) and depend on their cycle order and the number of bridges.
Co-Authors Muhammad Ahnaf Yusuf Mukayis Mukayis