Volume Requirements of 3D Upward Drawings

  • Emilio Di Giacomo
  • Giuseppe Liotta
  • Henk Meijer
  • Stephen K. Wismath
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3843)


This paper studies the problem of drawing directed acyclic graphs in three dimensions in the straight-line grid model, and so that all directed edges are oriented in a common (upward) direction. We show that there exists a family of outerplanar directed acyclic graphs whose volume requirement is super-linear. We also prove that for the special case of rooted trees a linear volume upper bound is achievable.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Emilio Di Giacomo
    • 1
  • Giuseppe Liotta
    • 1
  • Henk Meijer
    • 2
  • Stephen K. Wismath
    • 3
  1. 1.Dip. di Ing. Elettronica e dell’InformazioneUniversità degli Studi di PerugiaItaly
  2. 2.School of ComputingQueen’s UniversityKingstonCanada
  3. 3.Dept. of Math. and Computer ScienceUniversity of LethbridgeCanada

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