Discrete & Computational Geometry

, Volume 43, Issue 2, pp 272–288 | Cite as

Universal Sets of n Points for One-bend Drawings of Planar Graphs with n Vertices

  • Hazel Everett
  • Sylvain LazardEmail author
  • Giuseppe Liotta
  • Stephen Wismath


This paper shows that any planar graph with n vertices can be point-set embedded with at most one bend per edge on a universal set of n points in the plane. An implication of this result is that any number of planar graphs admit a simultaneous embedding without mapping with at most one bend per edge.


Graph drawing Universal point sets One-bend drawings Simultaneous embeddings 


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Copyright information

© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  • Hazel Everett
    • 1
  • Sylvain Lazard
    • 1
    Email author
  • Giuseppe Liotta
    • 2
  • Stephen Wismath
    • 3
  1. 1.INRIA Nancy Grand EstUniversité Nancy 2, LORIANancyFrance
  2. 2.Dip. di Ingegneria Elettronica e dell’InformazioneUniversità degli Studi di PerugiaPerugiaItaly
  3. 3.Department of Mathematics and Computer ScienceUniversity of LethbridgeLethbridgeCanada

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