Question: We define the decision version of the Shortest Path problem as follows: given an undirected graph G = (V, E), two distinct vertices s,

We define the decision version of the Shortest Path problem as follows: given an undirected graph G = (V, E), two distinct vertices s, t V, and a positive integer k, return yes if and only if there exists a path from s to t of length at most k. Otherwise, return no. For each of the two questions below, decide whether the answer is (i) "Yes", (ii) "No", or (iii) "Unknown, because it would resolve the question of whether P-NP." Give an explanation of your answers. 1. Question: (11 points) Is it the case that Shortest Path p Independent Set? 2. Question: (11 points) Is it the case that Independent Set

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