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MP
1998
109views more  MP 1998»
13 years 5 months ago
Rounding algorithms for covering problems
In the last 25 years approximation algorithms for discrete optimization problems have been in the center of research in the fields of mathematical programming and computer science...
Dimitris Bertsimas, Rakesh V. Vohra
IPCO
2010
160views Optimization» more  IPCO 2010»
13 years 6 months ago
On Column-Restricted and Priority Covering Integer Programs
In a column-restricted covering integer program (CCIP), all the non-zero entries of any column of the constraint matrix are equal. Such programs capture capacitated versions of cov...
Deeparnab Chakrabarty, Elyot Grant, Jochen Kö...
FCT
2007
Springer
13 years 11 months ago
Analysis of Approximation Algorithms for k-Set Cover Using Factor-Revealing Linear Programs
We present new combinatorial approximation algorithms for k-set cover. Previous approaches are based on extending the greedy algorithm by efficiently handling small sets. The new a...
Stavros Athanassopoulos, Ioannis Caragiannis, Chri...
FSTTCS
2003
Springer
13 years 10 months ago
On the Covering Steiner Problem
The Covering Steiner problem is a common generalization of the k-MST and Group Steiner problems. An instance of the Covering Steiner problem consists of an undirected graph with ed...
Anupam Gupta, Aravind Srinivasan
APPROX
2000
Springer
190views Algorithms» more  APPROX 2000»
13 years 9 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