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    DCG
    2010
    97views more  DCG 2010»
    Cech Type Approach to Computing Homology of Maps
    13 years 9 months ago
    Cech Type Approach to Computing Homology of Maps
    Download  www.ii.uj.edu.pl
    A new approach to algorithmic computation of the homology of spaces and maps is presented. The key point of the approach is a change in the representation of sets. The proposed rep...
    Marian Mrozek
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    DCG
    2010
    101views more  DCG 2010»
    Unknot Diagrams Requiring a Quadratic Number of Reidemeister Moves to Untangle
    13 years 9 months ago
    Unknot Diagrams Requiring a Quadratic Number of Reidemeister Moves to Untangle
    Download  u.cs.biu.ac.il
    Given any knot diagram E, we present a sequence of knot diagrams of the same knot type, for which the minimum number of Reidemeister moves required to pass to E is quadratic with ...
    Joel Hass, Tahl Nowik
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    DCG
    2008
    63views more  DCG 2008»
    Pin-Collinear Body-and-Pin Frameworks and the Molecular Conjecture
    13 years 11 months ago
    Pin-Collinear Body-and-Pin Frameworks and the Molecular Conjecture
    Download  www.cs.elte.hu
    Bill Jackson, Tibor Jordán
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    DCG
    2008
    86views more  DCG 2008»
    Circle Patterns on Singular Surfaces
    13 years 11 months ago
    Circle Patterns on Singular Surfaces
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    Jean-Marc Schlenker
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    DCG
    2008
    78views more  DCG 2008»
    Self-Similar Tiling Systems, Topological Factors and Stretching Factors
    13 years 11 months ago
    Self-Similar Tiling Systems, Topological Factors and Stretching Factors
    Download  www.mathinfo.u-picardie.fr
    In this paper we prove that if two self-similar tiling systems, with respective stretching factors 1 and 2, have a common factor which is a non periodic tiling system, then 1 and 2...
    María Isabel Cortez, Fabien Durand
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    DCG
    2008
    101views more  DCG 2008»
    On the Hardness of Computing Intersection, Union and Minkowski Sum of Polytopes
    13 years 11 months ago
    On the Hardness of Computing Intersection, Union and Minkowski Sum of Polytopes
    Download  hansrajt.files.wordpress.com
    For polytopes P1, P2 Rd we consider the intersection P1 P2, the convex hull of the union CH(P1 P2), and the Minkowski sum P1 + P2. For Minkowski sum we prove that enumerating t...
    Hans Raj Tiwary
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    DCG
    2008
    88views more  DCG 2008»
    On the Number of Birch Partitions
    13 years 11 months ago
    On the Number of Birch Partitions
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    Birch and Tverberg partitions are closely related concepts from discrete geometry. We show two properties for the number of Birch partitions: Evenness, and a lower bound. This imp...
    Stephan Hell
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    DCG
    2008
    76views more  DCG 2008»
    Asymmetry of Convex Polytopes and Vertex Index of Symmetric Convex Bodies
    13 years 11 months ago
    Asymmetry of Convex Polytopes and Vertex Index of Symmetric Convex Bodies
    Download  www.math.ualberta.ca
    In [GL] it was shown that a polytope with few vertices is far from being symmetric in the Banach-Mazur distance. More precisely, it was shown that Banach-Mazur distance between su...
    E. D. Gluskin, A. E. Litvak
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    DCG
    2008
    81views more  DCG 2008»
    A Dense Packing of Regular Tetrahedra
    13 years 11 months ago
    A Dense Packing of Regular Tetrahedra
    Download  www-personal.umich.edu
    We construct a dense packing of regular tetrahedra, with packing density D > .7786157. Keywords Crystallography
    Elizabeth R. Chen
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    DCG
    2008
    80views more  DCG 2008»
    Analysis of Incomplete Data and an Intrinsic-Dimension Helly Theorem
    13 years 11 months ago
    Analysis of Incomplete Data and an Intrinsic-Dimension Helly Theorem
    Download  www.cs.sunysb.edu
    Jie Gao, Michael Langberg, Leonard J. Schulman
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