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Generalized Class Cover Problem with Axis-Parallel Strips

  • Apurva Mudgal
  • Supantha Pandit
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8344)

Abstract

We initiate the study of a generalization of the class cover problem [1,2], the generalized class cover problem, where we are allowed to misclassify some points provided we pay an associated positive penalty for every misclassified point. We study five different variants of generalized class cover problem with axis-parallel strips and half-strips in the plane, thus extending similar work by Bereg et al. [2] on the class cover problem. For each of these variants, we either show that they are in P, or prove that they are NP-complete and give constant factor approximation algorithms.

Keywords

class cover problem axis-parallel strips approximation algorithms geometric set cover 

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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Apurva Mudgal
    • 1
  • Supantha Pandit
    • 1
  1. 1.Department of Computer Science and EngineeringIndian Institute of Technology RoparRupnagarIndia

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