Provide short answers to the following questions: (a) Suppose we know that a pro

Question

Provide short answers to the following questions: (a) Suppose we know that a problem X is NP-complete. Suppose we discover a polynomial time algorithm for X. Would that imply that the SATISFIABILITY problem can be solved in polynomial time? Explain your answer. (b) Suppose we know that a problem X belongs to the class NP. Suppose we discover that there is a polynomial time algorithm for X. Would that imply that the SATISFIABILITY problem can be solved in polynomial time? Explain your answer. (c) Suppose we discover an O(n 3 ) algorithm for SATISFIABILITY. Would that imply that every problem in NP can be solved in O(n 3 ) time? Why or why not?

Explanation / Answer

NP may be a illustrious open downside in process complexness theory.
NP is thought of because the category of issues whose resolution is verified in polynomial time. For example-

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.