Top "P-np" questions

Used for questions about the P versus NP problem.

What's "P=NP?", and why is it such a famous question?

The question of whether P=NP is perhaps the most famous in all of Computer Science. What does it mean? …

computer-science theory complexity-theory np-complete p-np
NP-hard problems that are not NP-complete are harder?

From my understanding, all NP-complete problems are NP-hard but some NP-hard problems are known not to be NP-complete, and NP-hard …

computer-science complexity-theory p-np
Explain the proof by Vinay Deolalikar that P != NP

Recently there has been a paper floating around by Vinay Deolalikar at HP Labs which claims to have proved that …

math computer-science complexity-theory proof p-np
can some sorting be P, NP, and NP-Complete?

I am quite confused, and this is my thought after some reading: P is in NP and NP is in …

algorithm sorting np-complete np p-np