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ESA
2003
Springer
189views Algorithms» more  ESA 2003»
14 years 27 days ago
On the Complexity of Approximating TSP with Neighborhoods and Related Problems
We prove that various geometric covering problems, related to the Travelling Salesman Problem cannot be efficiently approximated to within any constant factor unless P = NP. This ...
Shmuel Safra, Oded Schwartz
ISAAC
2005
Springer
100views Algorithms» more  ISAAC 2005»
14 years 1 months ago
Separability with Outliers
We develop exact and approximate algorithms for computing optimal separators and measuring the extent to which two point sets in d-dimensional space are separated, with respect to...
Sariel Har-Peled, Vladlen Koltun
COMPGEOM
2009
ACM
14 years 2 months ago
Epsilon nets and union complexity
We consider the following combinatorial problem: given a set of n objects (for example, disks in the plane, triangles), and an integer L ≥ 1, what is the size of the smallest su...
Kasturi R. Varadarajan
APPROX
2010
Springer
188views Algorithms» more  APPROX 2010»
13 years 9 months ago
Approximation Algorithms for Reliable Stochastic Combinatorial Optimization
We consider optimization problems that can be formulated as minimizing the cost of a feasible solution wT x over an arbitrary combinatorial feasible set F {0, 1}n . For these pro...
Evdokia Nikolova
COCOA
2008
Springer
13 years 9 months ago
New Algorithms for k-Center and Extensions
The problem of interest is covering a given point set with homothetic copies of several convex containers C1,...,Ck, while the objective is to minimize the maximum over the dilatat...
René Brandenberg, Lucia Roth