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ALGORITHMICA
2004
111views more  ALGORITHMICA 2004»
13 years 8 months ago
The Hausdorff Voronoi Diagram of Point Clusters in the Plane
We study the Hausdorff Voronoi diagram of point clusters in the plane, a generalization of Voronoi diagrams based on the Hausdorff distance function. We derive a tight combinatori...
Evanthia Papadopoulou
CCCG
2001
13 years 9 months ago
Complete combinatorial generation of small point configurations and hyperplane arrangements
A recent progress on the complete enumeration of oriented matroids enables us to generate all combinatorial types of small point configurations and hyperplane arrangements in gene...
Lukas Finschi, Komei Fukuda
CCCG
2003
13 years 9 months ago
Estimation of the necessary number of points in Riemannian Voronoi
G. Leibon and D. Letscher showed that for general and sufficiently dense point set its Delaunay triangulation and Voronoi diagram in Riemannian manifold exist. They also proposed ...
Kensuke Onishi, Jin-ichi Itoh
SODA
2004
ACM
58views Algorithms» more  SODA 2004»
13 years 9 months ago
Point containment in the integer hull of a polyhedron
We show that the point containment problem in the integer hull of a polyhedron, which is defined by m inequalities, with coefficients of at most bits can be solved in time O(m + ...
Ernst Althaus, Friedrich Eisenbrand, Stefan Funke,...
SIAMJO
2000
116views more  SIAMJO 2000»
13 years 8 months ago
Computational Experience with an Interior Point Cutting Plane Algorithm
There has been a great deal of success in the last twenty years with the use of cutting plane algorithms to solve specialized integer programming problems. Generally, these algori...
John E. Mitchell