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SIAMCOMP
1998
137views more  SIAMCOMP 1998»
14 years 10 months ago
Primal-Dual RNC Approximation Algorithms for Set Cover and Covering Integer Programs
We build on the classical greedy sequential set cover algorithm, in the spirit of the primal-dual schema, to obtain simple parallel approximation algorithms for the set cover probl...
Sridhar Rajagopalan, Vijay V. Vazirani
APPROX
2005
Springer
150views Algorithms» more  APPROX 2005»
15 years 4 months ago
A Primal-Dual Approximation Algorithm for Partial Vertex Cover: Making Educated Guesses
We study the partial vertex cover problem. Given a graph G = (V, E), a weight function w : V → R+ , and an integer s, our goal is to cover all but s edges, by picking a set of v...
Julián Mestre
ICALP
2005
Springer
15 years 4 months ago
How Well Can Primal-Dual and Local-Ratio Algorithms Perform?
We define an algorithmic paradigm, the stack model, that captures many primal-dual and local-ratio algorithms for approximating covering and packing problems. The stack model is ...
Allan Borodin, David Cashman, Avner Magen
SODA
2001
ACM
157views Algorithms» more  SODA 2001»
15 years 5 days ago
New approaches to covering and packing problems
Covering and packing integer programs model a large family of combinatorial optimization problems. The current-best approximation algorithms for these are an instance of the basic...
Aravind Srinivasan
RANDOM
2001
Springer
15 years 3 months ago
On the Equivalence between the Primal-Dual Schema and the Local-Ratio Technique
We discuss two approximation approaches, the primal-dual schema and the local-ratio technique. We present two relatively simple frameworks, one for each approach, which extend know...
Reuven Bar-Yehuda, Dror Rawitz