Covering Points by Disjoint Boxes with Outliers

@article{Ahn2011CoveringPB,
  title={Covering Points by Disjoint Boxes with Outliers},
  author={Hee-Kap Ahn and S. Bae and E. Demaine and M. Demaine and Sang-Sub Kim and Matias Korman and Iris Reinbacher and W. Son},
  journal={Comput. Geom.},
  year={2011},
  volume={44},
  pages={178-190}
}
For a set of n points in the plane, we consider the axis-aligned (p,k)-Box Covering problem: Find p axis-aligned, pairwise-disjoint boxes that together contain at least n-k points. In this paper, we consider the boxes to be either squares or rectangles, and we want to minimize the area of the largest box. For general p we show that the problem is NP-hard for both squares and rectangles. For a small, fixed number p, we give algorithms that find the solution in the following running times: For… Expand
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  • S. Bae
  • Mathematics, Computer Science
  • Comput. Geom.
  • 2019
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