Question: Consider the Graph coloring problem: given a graph G, assign colors to each vertex of G such that no adjacent vertices get the same color

Consider the Graph coloring problem: given a graph G, assign colors to each vertex of G such that no adjacent vertices get the same color and also ensuring that the minimum number of colours are used. Design a backtracking algorithm to solve the graph coloring problem. Analyze the time complexity of the algorithm. Steps: 1.logic 2.illustration 3.pseudocode 4.proof of correctness 5.time complexity

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