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

For the given graph, using BACKTRACKING technique determine the minimum number

For the given graph, using BACKTRACKING 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 Ch+1, where Cis a constant and n is the number of nodes in a graph

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