Homework Answers
The given statement is TRUE.
We have, a problem is NP Complete if it satisfies below 2 conditions:
1. A problem is a NP( a problem can be solved by non deterministic turing machine in polynomial time)
2. For all other problems in NP, all these problems can be polynomially reducable to given problem.
Thank you.
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4. a) Define the concept of NP-completeness b) If A is NP-complete, and A has a polynomial time algorithm, then a polynomial time algorithm to find a longest path in a directed graph. Answer:
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3. (3 pts) Two well-known NP-complete problems are 3-SAT and TSP, the traveling salesman problem. The 2-SAT problem is a SAT variant in which each clause contains at most two literals. 2-SAT is known to have a polynomial-time algorithm. Is each of the following statements true or false? Justify your answer. a. 3-SAT sp TSP. b. If P NP, then 3-SAT Sp 2-SAT. C. If P NP, then no NP-complete problem can be solved in polynomial time.
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4. a) Define the concept of NP-completeness b) If A is NP-complete, and A has a polynomial time algorithm, then a polynomial time algorithm to find a longest path in a directed graph. Answer:
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