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Periodic Planar Straight-Frame Drawings with Polynomial Resolution

  • Luca Castelli Aleardi
  • Éric Fusy
  • Anatolii Kostrygin
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8392)

Abstract

We present a new algorithm to compute periodic (planar) straight-line drawings of toroidal graphs. Our algorithm is the first to achieve two important aesthetic criteria: the drawing fits in a straight rectangular frame, and the grid area is polynomial, precisely the grid size is O(n 4×n 4). This solves one of the main open problems in a recent paper by Duncan et al. [3].

Keywords

Shift Algorithm Outer Frame Schnyder Wood Outer Vertex Toroidal Graph 
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-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Luca Castelli Aleardi
    • 1
  • Éric Fusy
    • 1
  • Anatolii Kostrygin
    • 1
  1. 1.LIXÉcole PolytechniqueFrance

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