Every 2-csp Allows Nontrivial Approximation

@article{Hstad2008Every2A,
  title={Every 2-csp Allows Nontrivial Approximation},
  author={Johan H{\aa}stad},
  journal={computational complexity},
  year={2008},
  volume={17},
  pages={549-566}
}
We use semidefinite programming to prove that any constraint satisfaction problem in two variables over any domain allows an efficient approximation algorithm that does better than picking a random assignment. Specifically we consider the case when each variable can take values in [d] and that each constraint rejects t out of the d 2 possible input pairs. Then, for some universal constant c, we can, in probabilistic polynomial time, find an assignment whose objective value is, in expectation… CONTINUE READING

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