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ESA
2004
Springer
120views Algorithms» more  ESA 2004»
13 years 10 months ago
Solving Geometric Covering Problems by Data Reduction
We consider a scenario where stops are to be placed along an already existing public transportation network in order to improve its attractiveness for the customers. The core probl...
Steffen Mecke, Dorothea Wagner
CORR
2008
Springer
151views Education» more  CORR 2008»
13 years 5 months ago
Geometric Set Cover and Hitting Sets for Polytopes in $R^3$
Suppose we are given a finite set of points P in R3 and a collection of polytopes T that are all translates of the same polytope T. We consider two problems in this paper. The firs...
Sören Laue
CORR
2010
Springer
94views Education» more  CORR 2010»
13 years 5 months ago
Quantization of Discrete Probability Distributions
We study the problem of quantization of discrete probability distributions, arising in universal coding, as well as other applications. We show, that in many situations this probl...
Yuriy A. Reznik
SODA
2004
ACM
144views Algorithms» more  SODA 2004»
13 years 6 months ago
Covering minimum spanning trees of random subgraphs
We consider the problem of finding a sparse set of edges containing the minimum spanning tree (MST) of a random subgraph of G with high probability. The two random models that we ...
Michel X. Goemans, Jan Vondrák
COMPGEOM
2006
ACM
13 years 11 months ago
Algorithms for two-box covering
We study the problem of covering a set of points or polyhedra in 3 with two axis-aligned boxes in order to minimize a function of the measures of the two boxes, such as the sum or...
Esther M. Arkin, Gill Barequet, Joseph S. B. Mitch...