Drawing 2-, 3- and 4-colorable graphs in O(n2) volume

  • Tiziana Calamoneri
  • Andrea Sterbini
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1190)


A Fary grid drawing of a graph is a drawing on a three-dimensional grid such that vertices are placed at integer coordinates and edges are straight-lines such that no edge crossings are allowed.

In this paper it is proved that each k-colorable graph (k ≥ 2) needs at least Ω(n3/2)x volume to be drawn. Furthermore, it is shown how to draw 2-, 3- and 4-colorable graphs in a Fary grid fashion in O(n2) volume.


k-colorable graphs Fary grid drawing 3D drawing 


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Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • Tiziana Calamoneri
    • 1
  • Andrea Sterbini
    • 1
  1. 1.Dept. of Computer ScienceUniversity of Rome “La Sapienza”RomaItaly

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