GATE | GATE-CS-2014-(Set-1) | Question 48

Suppose a polynomial time algorithm is discovered that correctly computes the largest clique in a given graph. In this scenario, which one of the following represents the correct Venn diagram of the complexity classes P, NP and NP Complete (NPC)?

(A) A
(B) B
(C) C
(D) D

Answer: (D)

Explanation: Clique is an NP complete problem. If one NP complete problem can be solved in polynomial time, then all of them can be. So NPC set becomes equals to P.

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