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Questions about the hardest problems in NP, i.e. of those that can be solved in polynomial time by nondeterministic Turing machines.
2
votes
Complexity of Independent Set on Triangle-Free Planar Cubic Graphs
Unfortunately Uehara's proof is wrong. If we consider planar subcubic graphs from Johnson's "Rectilinear Steiner Tree" paper then they could be disconnected and all this stuff with gadgets does not wo …
1
vote
Accepted
Is this a well-known NP-hard problem?
3-Hitting Set problem is known in parameterized complexity theory. The requirement $\cup S_i=R$ can always be assumed without loss of generality. See e.g. An efficient fixed-parameter algorithm for 3- …