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

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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Submitted on : Friday, November 13, 2009 - 9:41:24 AM
Last modification on : Friday, February 26, 2021 - 3:28:08 PM

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Hazel Everett, Sylvain Lazard, Giuseppe Liotta, Steve Wismath. Universal Sets of n Points for One-bend Drawings of Planar Graphs with n Vertices. Discrete and Computational Geometry, Springer Verlag, 2010, 43 (2), pp.272-288. ⟨10.1007/s00454-009-9149-3⟩. ⟨inria-00431769⟩

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