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September 12, 2025EIGEN MATHEMATICS JOURNALOpen Access

Locating Chromatic Number for Rose Graphs and Barbell Operation

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The locating chromatic number of Rose graphs is 4 for n in {3, 4} and 5 for n ≥ 5.
Barbell Rose graphs have a locating chromatic number of 4 for n = 3 and 5 for n ≥ 4.
The method involves calculating upper and lower bounds for the locating chromatic number.
Findings enhance understanding of graph properties related to coloring and partition dimensions.

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This paper reveals the locating chromatic number in Rose graphs and barbell Rose graphs, suggesting upper and lower bounds for calculations.

Sawitri et al. (2025) studied this question.

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This paper reveals the locating chromatic number in Rose graphs and barbell Rose graphs, suggesting upper and lower bounds for calculations.