In graph theory, the locating-chromatic number is a parameter that characterizes the minimum number of colors required to assign to the vertices of a graph such that each vertex can be uniquely identified by its color and the colors of its neighbors. The locating-chromatic number of a graph refers to a concept in graph coloring, which involves assigning colors to the vertices of a graph in such a way that adjacent vertices do not share the same color. It represents the minimum number of colors needed for a proper vertex coloring. This study investigates the locating-chromatic number of certain barbell operation on pizza graphs and its subdivisions
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