Q. Consider the following instance of 3-SAT problem: (x1 v X2 V -X3) ^ (xı V ¬X2 V ¬X3) ^ (¬X1 V –¬X2 V X3) ^ (¬xi V ¬X2 V ¬X3) and reduction from 3-SAT to CLIQUE. What is the instance of CLIQUE problem that corresponds to the above instance of 3-SAT? If the above instance of 3-SAT is YES instance, show a certificate, verifying this, and also corresponding certificate of the CLIQUE problem.

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
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Chapter1: Computer Networks And The Internet
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Q. Consider the following instance of 3-SAT problem:
(x1 V X2 V ¬X3)^ (xı v ¬X2 V ¬X3) ^ (¬X1 V ¬X2 V X3) ^ (¬xi V ¬X2 V ¬X3)
and reduction from 3-SAT to CLIQUE. What is the instance of CLIQUE
problem that corresponds to the above instance of 3-SAT?
If the above instance of 3-SAT is YES instance, show a certificate,
verifying this, and also corresponding certificate of the CLIQUE
problem.
Transcribed Image Text:Q. Consider the following instance of 3-SAT problem: (x1 V X2 V ¬X3)^ (xı v ¬X2 V ¬X3) ^ (¬X1 V ¬X2 V X3) ^ (¬xi V ¬X2 V ¬X3) and reduction from 3-SAT to CLIQUE. What is the instance of CLIQUE problem that corresponds to the above instance of 3-SAT? If the above instance of 3-SAT is YES instance, show a certificate, verifying this, and also corresponding certificate of the CLIQUE problem.
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