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JACM
1998
88views more  JACM 1998»
13 years 7 months ago
A Threshold of ln n for Approximating Set Cover
Given a collection Ᏺ of subsets of S ϭ {1, . . . , n}, set cover is the problem of selecting as few as possible subsets from Ᏺ such that their union covers S, and max k-cover ...
Uriel Feige
JCO
2007
128views more  JCO 2007»
13 years 7 months ago
Approximation algorithms and hardness results for labeled connectivity problems
Let G = (V, E) be a connected multigraph, whose edges are associated with labels specified by an integer-valued function L : E → N. In addition, each label ℓ ∈ N has a non-...
Refael Hassin, Jérôme Monnot, Danny S...
JCSS
2002
199views more  JCSS 2002»
13 years 7 months ago
A Constant-Factor Approximation Algorithm for the k-Median Problem
We present the first constant-factor approximation algorithm for the metric k-median problem. The k-median problem is one of the most well-studied clustering problems, i.e., those...
Moses Charikar, Sudipto Guha, Éva Tardos, D...
JCO
2007
149views more  JCO 2007»
13 years 7 months ago
A 2-approximation for the preceding-and-crossing structured 2-interval pattern problem
The 2-interval pattern problem over its various models and restrictions was proposed by Vialette (2004) for the application of RNA secondary structure prediction. We present an O(n...
Minghui Jiang
STOC
2010
ACM
261views Algorithms» more  STOC 2010»
14 years 6 days ago
An Improved LP-based Approximation for Steiner Tree
The Steiner tree problem is one of the most fundamental ÆÈ-hard problems: given a weighted undirected graph and a subset of terminal nodes, find a minimum weight tree spanning ...
Jaroslaw Byrka, Fabrizio Grandoni, Thomas Rothvoss...