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

1 VEGAS - Effective Geometric Algorithms for Surfaces and Visibility
LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications, INRIA Lorraine
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.
Document type :
Journal articles
Journal of Discrete and Computational Geometry, Springer, 2010, 43 (2), pp.272-288. <http://www.springerlink.com/content/1851pv541v2714v5/>. <10.1007/s00454-009-9149-3>

https://hal.inria.fr/inria-00431769
Contributor : Sylvain Lazard <>
Submitted on : Friday, November 13, 2009 - 9:41:24 AM
Last modification on : Wednesday, March 3, 2010 - 2:21:37 PM

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### Citation

Hazel Everett, Sylvain Lazard, Giuseppe Liotta, Steve Wismath. Universal Sets of n Points for One-bend Drawings of Planar Graphs with n Vertices. Journal of Discrete and Computational Geometry, Springer, 2010, 43 (2), pp.272-288. <http://www.springerlink.com/content/1851pv541v2714v5/>. <10.1007/s00454-009-9149-3>. <inria-00431769>

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