CSE 461: Sample Questions on NP-Completeness August 2011 Semester These are only question ideas and do not guarantee exam questions.
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NP-Completeness 1. What are deterministic and non-deterministic computers/Turing Machines? What is the type of our traditional computers—deterministic or non-deterministic? 2. What is the meaning of non-deterministic? 3. What are the three problem classes P, NP and NPC? 4. What is polynomial time verification? 5. Draw a diagram portraying the containment relation of P, NP and NPC. 6. Give two definitions of the problem class NP (i) in terms of non-deterministic computer and (ii) in terms of polynomial time verification by deterministic computer? 7. How do you justify that a problem that is in P is also in NP (apply the second definition of NP)? 8. What are some well-known early-discovered NP-Complete problems? 9. What are optimization problem and the corresponding version of decision problem?
10. What are the decision version of the following problem MAXIMUM CLIQUE, MINIMUM VERTEX COVER, HAMILTONIAN CCYLE, TSP. 11. How can you solve an optimization problem by its decision version in addition of a polynomial factor? Exaplin with MINIMUM VERTEX COVER AND MAXIMUM CLIQUE, 12. Is 3CNF-SAT a decision problem or optimization problem? 13. What is polynomial time reduction? 14. What are NP-hard problems? 15. What is the two steps of proving a problem NP-complete? 16. What is used in step 2: “reduction from” a known NP-complete problem or “reduction to” a known NP-complete problem? 17. Why is it important to have a the reduction “polynomial”? What would happen if someone reduce in “exponential time”? 18. Prove that the decision version of CLIQUE, VERTEX COVER, TSP are np-complete. Follow the followins step: (1) polynomial time verification, (2): reduction from a known NP-Complete problkem: (2a) construction for reduction, (2b) prove that solution of instance-1 = solution of instance-2.
What are deterministic and non-deterministic computers/Turing Machines? What is the type of our traditional computersâdeterministic or non-deterministic? 2.
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Sample Questions-2014. SUB: Digital Electronics & Logic Design Sub Code: EC402 Sem: 4 th. STREAM: ECE. Group A. 1. (Answer any ten). (i) Decimal equivalent of binary number1111.01 is. (a) 14.25 (b) 15.25 (c)15.01 (d) 7.25. (ii) Which of the following
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Circle with a radius of 6 inches. 8. 9. Square with a diagonal of 5. â¬. 6 . 9. 10. White area inside the triangle. 10. 11. Shaded area inside the circle. 11. 12. Volume ...
Page 2 of 4. Name Date. page 1 of 2. TSI Assessment. Geometry and Measurement Sample Questions. Answer the following without the use of a calculator. 1.
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