To do a backtracking solution to the graph coloring problem we are using this Graph coloring algorithm. The convention of using colors originates from coloring the countries of a map, ... exponential-time algorithms were developed based on backtracking. In its simplest form, it is a way of coloring the vertices of a graph such that no two adjacent vertices share the same color; this is called a vertex coloring. Similarly, an edge coloring assigns a color to each edge so that no two adjacent edges share the same color, and a face coloring of a planar graph assigns a color to each face or region so that no two faces that share a boundary have the same color.
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