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COMPGEOM
2009
ACM
13 years 11 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
13 years 11 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
13 years 11 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
13 years 11 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
13 years 11 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
13 years 11 months ago
Divide-and-conquer for Voronoi diagrams revisited
Oswin Aichholzer, Wolfgang Aigner, Franz Aurenhamm...
COMPGEOM
2009
ACM
13 years 11 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
13 years 11 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...