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    DCG
    2011
    259views Computer Graphics» more  DCG 2011»
    A Celtic Framework for Knots and Links
    12 years 8 months ago
    A Celtic Framework for Knots and Links
    Download  www.cs.columbia.edu
    We describe a variant of a method used by modern graphic artists to design what are traditionally called Celtic knots, which are part of a larger family of designs called “mirro...
    Jonathan L. Gross, Thomas W. Tucker
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    DCG
    2011
    193views Computer Graphics» more  DCG 2011»
    Prodsimplicial-Neighborly Polytopes
    12 years 8 months ago
    Prodsimplicial-Neighborly Polytopes
    Download  www.liafa.jussieu.fr
    Benjamin Matschke, Julian Pfeifle, Vincent Pilaud
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    DCG
    2011
    182views Computer Graphics» more  DCG 2011»
    Range Minima Queries with Respect to a Random Permutation, and Approximate Range Counting
    12 years 11 months ago
    Range Minima Queries with Respect to a Random Permutation, and Approximate Range Counting
    Download  www.cs.tau.ac.il
    Haim Kaplan, Edgar Ramos, Micha Sharir
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    DCG
    2011
    175views Computer Graphics» more  DCG 2011»
    Small Grid Embeddings of 3-Polytopes
    12 years 11 months ago
    Small Grid Embeddings of 3-Polytopes
    Download  page.mi.fu-berlin.de
    We introduce an algorithm that embeds a given 3-connected planar graph as a convex 3-polytope with integer coordinates. The size of the coordinates is bounded by O(27.55n ) = O(18...
    Ares Ribó Mor, Günter Rote, Andr&eacut...
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    DCG
    2011
    226views Computer Graphics» more  DCG 2011»
    The Expected Genus of a Random Chord Diagram
    12 years 11 months ago
    The Expected Genus of a Random Chord Diagram
    Download  www.cs.huji.ac.il
    To any generic curve in an oriented surface there corresponds an oriented chord diagram, and any oriented chord diagram may be realized by a curve in some oriented surface. The gen...
    Nathan Linial, Tahl Nowik
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    DCG
    2011
    201views Computer Graphics» more  DCG 2011»
    New Classes of Counterexamples to Hendrickson's Global Rigidity Conjecture
    12 years 11 months ago
    New Classes of Counterexamples to Hendrickson's Global Rigidity Conjecture
    Download  www.math.columbia.edu
    We examine the generic local and global rigidity of various graphs in Rd . Bruce Hendrickson showed that some necessary conditions for generic global rigidity are (d + 1)-connected...
    Samuel Frank, Jiayang Jiang
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    DCG
    2011
    190views Computer Graphics» more  DCG 2011»
    More Colourful Simplices
    12 years 11 months ago
    More Colourful Simplices
    Download  www.cas.mcmaster.ca
    We show that any point in the convex hull of each of (d +1) sets of (d +1) points in general position in Rd is contained in at least (d + 1)2/2 simplices with one vertex from each ...
    Antoine Deza, Tamon Stephen, Feng Xie
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    DCG
    2011
    195views Computer Graphics» more  DCG 2011»
    Lines Pinning Lines
    12 years 11 months ago
    Lines Pinning Lines
    Download  www.mathnet.or.kr
    Boris Aronov, Otfried Cheong, Xavier Goaoc, Gü...
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    DCG
    2011
    197views Computer Graphics» more  DCG 2011»
    Random Geometric Complexes
    12 years 11 months ago
    Random Geometric Complexes
    Download  www.math.ias.edu
    We study the expected topological properties of ˇCech and Vietoris-Rips complexes built on random points in Rd . We find higher dimensional analogues of known results for connect...
    Matthew Kahle
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