Approximation Algorithms for Maximum Independent Set of Pseudo-Disks

@article{Chan2012ApproximationAF,
  title={Approximation Algorithms for Maximum Independent Set of Pseudo-Disks},
  author={Timothy M. Chan and Sariel Har-Peled},
  journal={Discrete \& Computational Geometry},
  year={2012},
  volume={48},
  pages={373-392}
}
We present approximation algorithms for maximum independent set of pseudo-disks in the plane, both in the weighted and unweighted cases. For the unweighted case, we prove that a local-search algorithm yields a PTAS. For the weighted case, we suggest a novel rounding scheme based on an LP relaxation of the problem, which leads to a constant-factor approximation.Most previous algorithms for maximum independent set (in geometric settings) relied on packing arguments that are not applicable in this… Expand
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