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   Author  Topic: np complete problem  (Read 3141 times)
kirru
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np complete problem  
« on: Nov 15th, 2012, 9:00am »
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Ram and Shyam have been asked to show that a certain problem PI is NP-complete. Ram shows a
polynomial time reduction from the 3-SAT problem to Pi and Shyam shows a polynomial time
reduction from PI to 3-SAT. Which of the following can be inferred from these reductions?
A. PI is NP-hard but not NP-complete
B.  PI is in NP, but is not NP-complete
C. Pi is  NP-complete
D. PI is neither NP-hard, nor in NP
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towr
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Re: np complete problem  
« Reply #1 on: Nov 23rd, 2012, 8:00am »
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I'll go with C
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kirru
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Re: np complete problem  
« Reply #2 on: Nov 24th, 2012, 7:01am »
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Dear Towr,  how can we say that it is in NP?
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towr
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Re: np complete problem  
« Reply #3 on: Nov 24th, 2012, 1:00pm »
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Because you can solve it in polynomial time on a non-deterministic machine via reduction to 3-SAT
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