… There are interesting examples of NP problems not known to be either in P or NP-complete.
One example is the set of composite numbers, mentioned in the first section, with checking …

… of the solution to a problem. … in a similar sense, This would mean that if there were no
polynomial time algorithm for the clique problem, we would never be able to prove the nonexistence…

… of them can encode any other problem in NP. Thus, these demonstrations provide a method
of encoding instances of any NP problem as instances of the target NP-complete problem. …

… So while we don’t expect the P versus NP problem to be resolved in the near future, the
question has driven research in a number of topics to help us understand, handle, and even take …

… , NP-hard means “at least as hard as any NP problem”: … NP-hard problem, we could use it
to solve all NP problems in polynomial time. Also, L is NP -complete if L is NP-hard and L ∈ NP…

… general, and the P vs. NP problem in particular, have gained prominence within the mathematics
community in the past decade, it is still largely viewed as a problem of computer science…

… We demonstrate that equivalent-P = NP and equivalent-P = P. In this way, we find the … to
which any other NP problem can be reduced in polynomial-time, but whose solution may still be …

… problem is a paradigmatic example of an NP problem which is difficult to solve in polynomial
time and since no … In the following section we will show examples of OPT NP problems. …

… I will also mention important connections of the P vs. NP problem with finite model theory and
… of the two possible solutions of the problem. Notice that the mathematical consequence of …

… the complexity class NP. We find a problem in NP which is not in P; because if it would be
present in that class, then it will imply that some undecidable problem will be in NP too. That's …