Gate CS-2003 Question Paper With Solutions

Q. 81 Ram and Shyam have been asked to show that a certain problem P is NPcomplete.
Ram shows a polynomial time reduction from the 3-SAT problem to P
, and Shyam shows a polynomial time reduction from P to 3-SAT. Which of the
following can be inferred from these reduction?

(A) P is NP-hard but not NP-complete

(B) P is in NP, but is not NP-complete

(C) P is NP-complete

(D) P is neither Np-hard, nor in NP

Answer: (C)

Explanation:

Gate CS-2003 Question Paper With Solutions

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