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Questions related to NP-hardness and NP-completeness.

2 votes
1 answer
153 views

Hardness of computing the dimension of an integral polytope?

Given a set of linear inequalities $Ax \leq b$ let $P = \text{conv}\{x \in \{0,1\}^n \mid A x \leq b \}$ be the convex hull of all binary vectors that satisfy the given inequalities. I am interested i …
badboul's user avatar
  • 187
3 votes
Accepted

Complexity of 2-coloring with extra constraints

The problem is NP-complete by a reduction from not-all-equal 3-satisfiability (NAE3SAT): Let $$\Phi = \bigwedge_{i=1}^n (l_{i,1} \lor l_{i,2} \lor l_{i,3})$$ be an instance of NAE3SAT. We construct a …
badboul's user avatar
  • 187