English

Approximation thresholds for combinatorial optimization problems

Computational Complexity 2008-12-15 v1

Abstract

An NP-hard combinatorial optimization problem Π\Pi is said to have an {\em approximation threshold} if there is some tt such that the optimal value of Π\Pi can be approximated in polynomial time within a ratio of tt, and it is NP-hard to approximate it within a ratio better than tt. We survey some of the known approximation threshold results, and discuss the pattern that emerges from the known results.

Keywords

Cite

@article{arxiv.cs/0304039,
  title  = {Approximation thresholds for combinatorial optimization problems},
  author = {Uriel Feige},
  journal= {arXiv preprint arXiv:cs/0304039},
  year   = {2008}
}