IntractabilityTestPrep

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Jan 9, 2024

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Intractability Test Question 1: NP-Completeness Explain what it means for a problem to be NP-complete. Give an example of an NP-complete problem and briefly describe why it is in NP and why it is NP-hard. Question 2: Reducibility Describe how reducibility is used to prove that problems are NP-complete. Give an example of a reduction from one NP-complete problem to another. Question 3: Approximation Algorithms What is an approximation algorithm? Discuss the concept with respect to the Vertex Cover problem and explain how the approximation ratio is determined. 1

Question 4: P vs NP Problem Explain the significance of the P vs NP problem in computational complexity theory. What are the implications if P = NP? What if P NP? 2

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