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Drawing $K_n$ in Three Dimensions with One Bend per Edge

Olivier Devillers 1 Hazel Everett 2 Sylvain Lazard 2 Maria Pentcheva 2 Stephen Wismath 3
1 GEOMETRICA - Geometric computing
CRISAM - Inria Sophia Antipolis - Méditerranée
2 VEGAS - Effective Geometric Algorithms for Surfaces and Visibility
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
3 Department of Mathematics and Computer Science
Abstract : We give a drawing of $K_n$ in three dimensions in which vertices are placed at integer grid points and edges are drawn crossing-free with at most one bend per edge in a volume bounded by $O(n^2.5)$.
keyword : GRAPH DRAWING GRAPH EMBEDDING
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Submitted on : Tuesday, May 23, 2006 - 2:40:55 PM
Last modification on : Wednesday, February 2, 2022 - 3:51:40 PM
Long-term archiving on: : Sunday, April 4, 2010 - 10:01:46 PM

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  • HAL Id : inria-00071219, version 1

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INRIA | INRIA-RRRT | CNRS | INRIA2 | LARA | LORIA | UNIV-LORRAINE

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Olivier Devillers, Hazel Everett, Sylvain Lazard, Maria Pentcheva, Stephen Wismath. Drawing $K_n$ in Three Dimensions with One Bend per Edge. [Research Report] RR-5708, INRIA. 2005. ⟨inria-00071219⟩

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