What's "P=NP?", and why is it such a famous question?
An NP-complete problem is one that is NP (of course), and has this interesting property: if it is in P, every NP problem is, and so P=NP. If you could find a way to efficiently solve the Traveling …
What are the differences between NP, NP-Complete and NP-Hard?
Dec 7, 2009 · NP-hardness of some "problem-P" is usually proven by converting an already proven NP-hard problem to the "problem-P" in polynomial time. To answer the rest of question, you first need to …
P vs. NP and Shor's Algorithm - Stack Overflow
Sep 22, 2022 · The P vs NP question asks whether every problem in NP is also in P. Therefore, if you just find a single problem in NP that is also in P, that does not itself prove that P = NP. We already …
algorithm - NP-Complete VS NP-Hard - Stack Overflow
Dec 11, 2013 · A NP problem (not NP-Hard problem) is a decision problem which can be verified in polynomial time. Maybe they are solvable in polynomial time, since all problems in P are also in NP.
algorithm - P versus NP Clarification - Stack Overflow
Oct 8, 2012 · 7 Quoted from wikipedia, the P vs NP problem, regarding the time complexity of algorithms "... asks whether every problem whose solution can be quickly verified by a computer can also be …
What would a P=NP proof be like, hypothetically?
Dec 12, 2012 · 18 Would it be an polynomial time algorithm to a specific NP-complete problem, or just abstract reasonings that demonstrate solutions to NP-complete problems exist? It seems that the a …
Is P vs NP the same thing as being solvable by classical vs. quantum ...
Sep 9, 2018 · No, classical computers can solve NP problems, just not quickly for large problem sizes. Practical performance is not at all the point of the P vs NP problem. I think (but am not sure) that …
computer science - Proving that P <= NP - Stack Overflow
Jun 9, 2024 · A non-deterministic computer that solves a (NP) problem in polynomial time would also solve a P problem in polynomial time. If we consider the imaginary approach of a Turing Machine …
P vs NP: How to prove that they are not equal? - Stack Overflow
Oct 9, 2019 · The question if P = NP is still unproven. I wonder how you can prove that P is not equal to NP. My thought was that if you find a problem in NP and then prove that there is no algorithm, which …
What is an NP-complete in computer science? [closed]
Oct 17, 2008 · What is NP? NP is the set of all decision problems (questions with a yes-or-no answer) for which the 'yes'-answers can be verified in polynomial time (O (n k) where n is the problem size, …