# Two Questions Decide Whether Answer Yes Ii Iii Unknown Would Resolve Question Whether P Np Q23346229 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 a brief explanation of your answer. (a) Let’s define the decision version of the Interval Scheduling Problem from Chapter 4 as follows: Given a collection of intervals on a time-line, and a bound k, does the collection contain a subset of nonoverlapping intervals of size at least k? Question: Is it the case that Interval Scheduling lessthanorequalto P Vertex Cover? (b) Question: Is it the case that Independent Set lessthanorequalto p Interval Scheduling?Show transcribed image text 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 a brief explanation of your answer. (a) Let’s define the decision version of the Interval Scheduling Problem from Chapter 4 as follows: Given a collection of intervals on a time-line, and a bound k, does the collection contain a subset of nonoverlapping intervals of size at least k? Question: Is it the case that Interval Scheduling lessthanorequalto P Vertex Cover? (b) Question: Is it the case that Independent Set lessthanorequalto p Interval Scheduling?

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