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COMPGEOM
2009
ACM
14 years 1 months ago
Diameter of polyhedra: limits of abstraction
of Polyhedra: Limits of Abstraction Friedrich Eisenbrand∗ Nicolai Hähnle† Alexander Razborov‡ Thomas Rothvoߧ September 25, 2009 tigate the diameter of a natural abstract...
Friedrich Eisenbrand, Nicolai Hähnle, Thomas ...
COMPGEOM
2009
ACM
14 years 1 months ago
Halving lines and measure concentration in the plane
Given a set of n points in the plane and a collection of k halving lines of P ℓ1, . . . , ℓk indexed according to the increasing order of their slopes, we denote by d(ℓj, ...
Rom Pinchasi
COMPGEOM
2009
ACM
14 years 1 months ago
Computing hereditary convex structures
Color red and blue the n vertices of a convex polytope P in R3 . Can we compute the convex hull of each color class in o(n log n)? What if we have χ > 2 colors? What if the co...
Bernard Chazelle, Wolfgang Mulzer
COMPGEOM
2009
ACM
14 years 1 months ago
On the set multi-cover problem in geometric settings
We consider the set multi-cover problem in geometric settings. Given a set of points P and a collection of geometric shapes (or sets) F, we wish to nd a minimum cardinality subse...
Chandra Chekuri, Kenneth L. Clarkson, Sariel Har-P...
COMPGEOM
2009
ACM
14 years 1 months ago
Proximity of persistence modules and their diagrams
Topological persistence has proven to be a key concept for the study of real-valued functions defined over topological spaces. Its validity relies on the fundamental property tha...
Frédéric Chazal, David Cohen-Steiner...
COMPGEOM
2009
ACM
14 years 1 months ago
Divide-and-conquer for Voronoi diagrams revisited
Oswin Aichholzer, Wolfgang Aigner, Franz Aurenhamm...
COMPGEOM
2009
ACM
14 years 1 months ago
On grids in topological graphs
A topological graph is a graph drawn in the plane with vertices represented by points and edges as arcs connecting its vertices. A k-grid in a topological graph is a pair of edge ...
Eyal Ackerman, Jacob Fox, János Pach, Andre...
COMPGEOM
2009
ACM
14 years 1 months ago
Quadrilateral meshes with bounded minimum angle
In this paper, we present an algorithm that utilizes a quadtree data structure to construct a strictly convex quadrilateral mesh for a simple polygonal region in which no newly cr...
Scott Hine, F. Betul Atalay, Dianna Xu, Suneeta Ra...