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» The Guarding Problem - Complexity and Approximation
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APPROX
2000
Springer
190views Algorithms» more  APPROX 2000»
14 years 1 months ago
Approximating node connectivity problems via set covers
Given a graph (directed or undirected) with costs on the edges, and an integer k, we consider the problem of nding a k-node connected spanning subgraph of minimum cost. For the ge...
Guy Kortsarz, Zeev Nutov
FOCS
2006
IEEE
14 years 2 months ago
Improved approximation algorithms for multidimensional bin packing problems
In this paper we introduce a new general framework for set covering problems, based on the combination of randomized rounding of the (near-)optimal solution of the Linear Programm...
Nikhil Bansal, Alberto Caprara, Maxim Sviridenko
SODA
2003
ACM
121views Algorithms» more  SODA 2003»
13 years 10 months ago
An improved approximation algorithm for the partial latin square extension problem
Previous work on the partial Latin square extension (PLSE) problem resulted in a 2-approximation algorithm based on the LP relaxation of a three-dimensional assignment IP formulat...
Carla P. Gomes, Rommel G. Regis, David B. Shmoys
STOC
1998
ACM
139views Algorithms» more  STOC 1998»
14 years 1 months ago
Approximation Schemes for Euclidean k-Medians and Related Problems
In the k-median problem we are given a set S of n points in a metric space and a positive integer k. We desire to locate k medians in space, such that the sum of the distances fro...
Sanjeev Arora, Prabhakar Raghavan, Satish Rao
EOR
2007
117views more  EOR 2007»
13 years 8 months ago
Approximation of min-max and min-max regret versions of some combinatorial optimization problems
This paper investigates, for the first time in the literature, the approximation of minmax (regret) versions of classical problems like shortest path, minimum spanning tree, and ...
Hassene Aissi, Cristina Bazgan, Daniel Vanderpoote...