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+1 someone who explains understandably. instead of saying a bunch of references to keywords I hardly understand.

ColacX
– ColacX

2013-03-23 14:13:50 +00:00
Commented Mar 23, 2013 at 14:13
23

The first sentence is back-to-front: you need to reduce the known NP-complete problem to your own problem. This shows that your problem is at least as hard as the known NP-complete problem. Part (b) is also incorrect: if you have found the reduction then you already know that your problem is NP-hard; the only question is whether it is in NP at all (some problems, like the Halting Problem, are not). Iff it is NP-hard and in NP, then it is NP-complete (i.e. "NP-complete" is more specific than "NP-hard").

j_random_hacker
– j_random_hacker

2013-05-15 22:46:19 +00:00
Commented May 15, 2013 at 22:46
1

I wouldn't say a) leads to a contradiction, since we don't know that P != NP.

chtenb
– chtenb

2014-01-10 09:41:36 +00:00
Commented Jan 10, 2014 at 9:41

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