How can you prove that the bound of 2 for the Min Spanning Tree heuristic is tight? what is an example where the cost of the Min Spanning Tree heuristic is two times the optimal cost? Also how do you prove that the bound of 3/2 for the Christofides’ heuristic is tight? what is an example where the cost of the Christofides’ heuristic is 3/2 times the optimal cost? Consider the bound at the limit of infinity nodes.

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How can you prove that the bound of 2 for the Min Spanning Tree heuristic is tight? what is an example where the cost of the Min Spanning Tree heuristic is two times the optimal cost?

Also how do you prove that the bound of 3/2 for the Christofides’ heuristic is tight? what is an example where the cost of the Christofides’ heuristic is 3/2 times the optimal cost? Consider the bound at the limit of infinity nodes.

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