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The Locating-Chromatic Number of Origami Graphs

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The locating-chromatic number of a graph combines two graph concepts, namely coloring vertices and partition dimension of a graph. The locating-chromatic number is the smallest k such that G has a locating k-coloring, denoted by χL(G). This article proposes a procedure for obtaining a locating-chromatic number for an origami graph and its subdivision (one vertex on an outer edge) through two theorems with proofs.
Title: The Locating-Chromatic Number of Origami Graphs
Description:
The locating-chromatic number of a graph combines two graph concepts, namely coloring vertices and partition dimension of a graph.
The locating-chromatic number is the smallest k such that G has a locating k-coloring, denoted by χL(G).
This article proposes a procedure for obtaining a locating-chromatic number for an origami graph and its subdivision (one vertex on an outer edge) through two theorems with proofs.

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