Tensor decomposition and approximation schemes for constraint satisfaction problems

@inproceedings{Vega2005TensorDA,
  title={Tensor decomposition and approximation schemes for constraint satisfaction problems},
  author={Wenceslas Fernandez de la Vega and Marek Karpinski and Ravi Kannan and Santosh S. Vempala},
  booktitle={STOC '05},
  year={2005}
}
The only general class of MAX-rCSP problems for which Polynomial Time Approximation Schemes (PTAS) are known are the dense problems. In this paper, we give PTAS's for a much larger class of weighted MAX-rCSP problems which includes as special cases the dense problems and, for r = 2, all metric instances (where the weights satisfy the triangle inequality) and quasimetric instances; for r > 2, our class includes a generalization of metrics. Our algorithms are based on low-rank approximations with… 

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