Provide brief answers to the following questions. a. (2 marks) Define the complexity classes P and...
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Provide brief answers to the following questions. a. (2 marks) Define the complexity classes P and NP. b. (2 marks) Is it true that all problems in P are subset of NP (i.e., PC NP)? What about the converse? Please justify your answer. c. (3 marks) Is it true that if a NP-complete decision problem A reduces to some problem B in polynomial time, then B is also NP-complete? Please justify your answer. d. (3 marks) Let X be a problem that belongs to the class NP. Is it true that if X can be solved deterministically in polynomial time, then P = NP? Please justify your answer. Provide brief answers to the following questions. a. (2 marks) Define the complexity classes P and NP. b. (2 marks) Is it true that all problems in P are subset of NP (i.e., PC NP)? What about the converse? Please justify your answer. c. (3 marks) Is it true that if a NP-complete decision problem A reduces to some problem B in polynomial time, then B is also NP-complete? Please justify your answer. d. (3 marks) Let X be a problem that belongs to the class NP. Is it true that if X can be solved deterministically in polynomial time, then P = NP? Please justify your answer.
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a The complexity classes P and NP are two fundamental classes used in computational complexity theory to categorize decision problems based on the res... View the full answer
Related Book For
University Physics With Modern Physics
ISBN: 978-0073513881
2nd edition
Authors: Wolfgang Bauer, Gary Westfall
Posted Date:
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