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    DCG
    2011
    259views Computer Graphics» more  DCG 2011»
    A Celtic Framework for Knots and Links
    12 years 11 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 11 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
    13 years 2 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
    13 years 2 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
    13 years 2 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
    13 years 2 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
    13 years 2 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
    13 years 2 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
    13 years 2 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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