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» Rounding algorithms for covering problems
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FCT
2007
Springer
14 years 2 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...
COMGEO
2006
ACM
13 years 8 months ago
Inner and outer rounding of Boolean operations on lattice polygonal regions
Robustness problems due to the substitution of the exact computation on real numbers by the rounded floating point arithmetic are often an obstacle to obtain practical implementat...
Olivier Devillers, Philippe Guigue
IPPS
2003
IEEE
14 years 2 months ago
A BSP/CGM Algorithm for the All-Substrings Longest Common Subsequence Problem
Given two strings and of lengths Ñ and Ò, respectively, the all-substrings longest common subsequence (ALCS) problem obtains the lengths of the subsequences common to and any su...
Carlos E. R. Alves, Edson Cáceres, Siang W....
STOC
2010
ACM
245views Algorithms» more  STOC 2010»
14 years 1 months ago
Weighted Geometric Set Cover via Quasi-Uniform Sampling
There has been much progress on geometric set cover problems, but most known techniques only apply to the unweighted setting. For the weighted setting, very few results are known ...
Kasturi Varadarajan
DAM
2010
120views more  DAM 2010»
13 years 8 months ago
A new approximation algorithm for the multilevel facility location problem
In this paper we propose a new integer programming formulation for the multilevel facility location problem and a novel 3-approximation algorithm based on LP rounding. The linear ...
Adriana Felicia Gabor, Jan-Kees C. W. van Ommeren