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Approximation Algorithms for Orthogonal Line Centers

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Algorithms and Discrete Applied Mathematics (CALDAM 2021)

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Abstract

k orthogonal line center problem computes a set of k axis-parallel lines for a given set of points in 2D such that the maximum among the distance between each point to its nearest line is minimized. A 2-factor approximation algorithm and a \((\frac{7}{4}, \frac{3}{2})\) bi-criteria approximation algorithm is presented for the problem. Both of them are deterministic approximation algorithms, having sub-quadratic running time and not based on linear programming.

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Authors and Affiliations

  1. Indian Statistical Institute, Kolkata, India

    Arun Kumar Das & Sandip Das

  2. Ramakrishna Mission Vivekananda Educational and Research Institute, Howrah, India

    Joydeep Mukherjee

Authors
  1. Arun Kumar Das
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  2. Sandip Das
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  3. Joydeep Mukherjee
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Corresponding author

Correspondence to Arun Kumar Das .

Editor information

Editors and Affiliations

  1. Indian Institute of Technology Ropar, Rupnagar, India

    Apurva Mudgal

  2. Institute of Mathematical Sciences, Chennai, India

    C. R. Subramanian

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Das, A.K., Das, S., Mukherjee, J. (2021). Approximation Algorithms for Orthogonal Line Centers. In: Mudgal, A., Subramanian, C.R. (eds) Algorithms and Discrete Applied Mathematics. CALDAM 2021. Lecture Notes in Computer Science(), vol 12601. Springer, Cham. https://doi.org/10.1007/978-3-030-67899-9_4

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  • DOI: https://doi.org/10.1007/978-3-030-67899-9_4

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-67898-2

  • Online ISBN: 978-3-030-67899-9

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