Universal Sets of n Points for 1-Bend Drawings of Planar Graphs with n Vertices

  • Hazel Everett
  • Sylvain Lazard
  • Giuseppe Liotta
  • Stephen Wismath
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4875)

Abstract

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.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Hazel Everett
    • 1
  • Sylvain Lazard
    • 1
  • Giuseppe Liotta
    • 2
  • Stephen Wismath
    • 3
  1. 1.LORIA, INRIA LorraineNancy UniversitéNancyFrance
  2. 2.Dip. di Ingegneria Elettronica e dell’InformazioneUniversità degli Studi di Perugia 
  3. 3.Department of Mathematics and Computer ScienceUniversity of LethbridgeLethbridgeCanada

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