Question: For the given graph, using BACK TRACKING technique determine the minimum number of colors required to color the vertices of the graph from the given

For the given graph, using BACK TRACKING technique determine the minimum number of colors required to color the vertices of the graph from the given colors (Red, Green, and Blue) such that no two adjacent vertices should be having the same color. Draw the state space tree showing only the feasible solutions. Argue that the running time of the algorithm utilizing BACKTRACKING technique is where is a constant and n is the number of nodes in a graph. 1

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