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All Journal EIGEN MATHEMATICS JOURNAL
Amelia, Lidwina
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Mathematics

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Locating Chromatic Number for Rose Graphs and Barbell Operation Sawitri, Riza; Amelia, Lidwina; Asmiati, Asmiati; Nurvazly, Dina Eka
Eigen Mathematics Journal Vol 8 No 2 (2025): December
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v8i2.315

Abstract

The locating chromatic number of a graph is the minimum color required for a locating coloring. This concept is a combination of partition dimension and vertex coloring of a graph. The purpose of this paper is to determine the locating chromatic number of the Rose graph and the barbell Rose graphs. The method used to obtain the locating chromatic number of a graph is by determining its upper and lower bounds. In this paper, the locating chromatic number of the Rose graphs and its barbell operation were obtained. The locating chromatic number of Rose graph ? (??) is 4 for ? ∈ {3, 4} and 5 for ? ≥ 5. Furthermore, for barbell Rose graphs, 4 for ? = 3 and 5 for ? ≥ 4
Co-Authors Asmiati Asmiati Dina Eka Nurvazly, Dina Eka Sawitri, Riza