On the Approximability of Orthogonal Order Preserving Layout Adjustment

  • Sayan Bandyapadhyay
  • Santanu Bhowmick
  • Kasturi Varadarajan
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9214)

Abstract

Given an initial placement of a set of rectangles in the plane, we consider the problem of finding a disjoint placement of the rectangles that minimizes the area of the bounding box and preserves the orthogonal order i.e. maintains the sorted ordering of the rectangle centers along both x-axis and y-axis with respect to the initial placement. This problem is known as Layout Adjustment for Disjoint Rectangles (LADR). It was known that LADR is \(\mathbb {NP}\)-hard, but only heuristics were known for it. We show that a certain decision version of LADR is \(\mathbb {APX}\)-hard, and give a constant factor approximation for LADR.

Keywords

Geographic Information System Polynomial Time Algorithm Constant Factor Approximation Strip Packing Strip Packing Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Sayan Bandyapadhyay
    • 1
  • Santanu Bhowmick
    • 1
  • Kasturi Varadarajan
    • 1
  1. 1.Department of Computer ScienceUniversity of IowaIowa CityUSA

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