On the Hardness of Approximating Np Witnesses

  title={On the Hardness of Approximating Np Witnesses},
  author={Uriel Feige and Michael Langberg},
The search version for NP-complete combinatorial optimization problems asks for nding a solution of optimal value. Such a solution is called a witness. We follow a recent paper by Kumar and Sivakumar, and study a relatively new notion of approximate solutions that ignores the value of a solution and instead considers its syntactic representation (under some standard encoding scheme). The results that we present are of a negative nature. We show that for many of the well known NP-complete… CONTINUE READING
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