Serveur d'exploration sur la recherche en informatique en Lorraine

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

Identifieur interne : 001D41 ( Hal/Curation ); précédent : 001D40; suivant : 001D42

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

Auteurs : Olivier Devillers [France] ; Hazel Everett [France] ; Sylvain Lazard [France] ; Maria Pentcheva [France] ; Stephen Wismath [Canada]

Source :

RBID : Hal:inria-00071219

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 $O(n^2.5)$.

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Hal:inria-00071219

Le document en format XML

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<div type="abstract" xml:lang="en">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 $O(n^2.5)$.</div>
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<forename type="first">Stephen</forename>
<surname>Wismath</surname>
</persName>
<idno type="halAuthorId">99071</idno>
<affiliation ref="#struct-7216"></affiliation>
</author>
</analytic>
<monogr>
<idno type="reportNumber">RR-5708</idno>
<imprint>
<date type="datePub">2005</date>
</imprint>
<authority type="institution">INRIA</authority>
</monogr>
</biblStruct>
</sourceDesc>
<profileDesc>
<langUsage>
<language ident="en">English</language>
</langUsage>
<textClass>
<keywords scheme="author">
<term xml:lang="id">GRAPH DRAWING</term>
<term xml:lang="id">GRAPH EMBEDDING</term>
</keywords>
<classCode scheme="halDomain" n="info.info-cg">Computer Science [cs]/Computational Geometry [cs.CG]</classCode>
<classCode scheme="halDomain" n="info.info-oh">Computer Science [cs]/Other [cs.OH]</classCode>
<classCode scheme="halTypology" n="REPORT">Reports</classCode>
</textClass>
<abstract xml:lang="en">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 $O(n^2.5)$.</abstract>
</profileDesc>
</hal>
</record>

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   |texte=   Drawing $K_n$ in Three Dimensions with One Bend per Edge
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