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In computational complexity, NP is the complexity class consisting of problems whose yes instances can be verified in polynomial time. NP stands for 'nondeterministic polynomial time '.

5 votes

Is there a polynomial-time algorithm for untangling the unknot?

I seem to have a polynomial-time algorithm that untangles the unknot. But I suspect that hubris lurks around every corner in this game. I'm pretty sure I can show that the algorithm runs in polynomia …
Peter Balch's user avatar
11 votes
3 answers
2k views

Is there a polynomial-time algorithm for untangling the unknot?

I've found assertions that recognising the unknot is NP (but not explicitly NP hard or NP complete). …
Peter Balch's user avatar