Minimizing the Area for Planar Straight-Line Grid Drawings

  • Marcus Krug
  • Dorothea Wagner
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4875)

Abstract

Straight-line grid drawings of bounded size is a classical topic in graph drawing. The Graph Drawing Challenge 2006 dealt with minimizing the area of planar straight-line grid drawings. In this paper, we show that it is NP-complete to decide if a planar graph has a planar straight-line drawing on a grid of given size. Furthermore, we present a new iterative approach to compactify planar straight-line grid drawings. In an experimental study, we evaluate the quality of the compactified drawings with respect to the size of the area as well as to other measures.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Marcus Krug
    • 1
  • Dorothea Wagner
    • 1
  1. 1.Universität Karlsruhe 

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