Question: 17. Approximate TSP. Imagine that you constructed an approximation algorithm for the Traveling Salesman Problem that could always calculate a solution that is correct within

17. Approximate TSP. Imagine that you constructed an approximation algorithm for

17. Approximate TSP. Imagine that you constructed an approximation algorithm for the Traveling Salesman Problem that could always calculate a solution that is correct within a factor of 1/k of the optimal tour in O(n -2*) time. Would you be able to use this approximation algorithm to obtain a "good" solution to all other NP-Complete problems? Explain why or why not. 17. Approximate TSP. Imagine that you constructed an approximation algorithm for the Traveling Salesman Problem that could always calculate a solution that is correct within a factor of 1/k of the optimal tour in O(n -2*) time. Would you be able to use this approximation algorithm to obtain a "good" solution to all other NP-Complete problems? Explain why or why not

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