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Method of Intervals

Suppose a pol...

Question

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

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B

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C

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D

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Solution

The correct option is C
Clique is NP- complete problem
If clique is P then P = NPC

$∴ N P = N P C$

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