Problem statement. The graph coloring problem involves assigning colors to certain elements of a graph subject to certain restrictions and constraints. In other words, the process of assigning colors to vertices such that no two adjacent vertices have the same color is called graphics coloring. This is also known as vertex coloring. Graphics coloring issue. Graph coloring, also called vertex coloring, is a way of coloring the vertices of a graph such that no adjacent vertices share the same color. This article will discuss a greedy algorithm for graph coloring and minimize the total number of colors used. For example, consider the following chart Assign colors to a dual chart. Let's move on to vertices D, E, and G. Since D and G don't share a boundary with A, we can color them both blue, yes, to reuse colors. And vertex E turns red because it doesn't connect to vertex B. Colorarble Double K Chart Example. Finally, we have vertices F and H. The optimization problem is stated as follows: “Given colors M and graph G, find the minimum number of colors required for coloring the graph. » Graph coloring algorithm using backtracking: assign colors one by one to different vertices, starting with. Before assigning a color, check whether adjacent vertices have the same color or not.