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» A Better Approximation Ratio for the Vertex Cover Problem
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APPROX
2000
Springer
190views Algorithms» more  APPROX 2000»
13 years 11 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
ACID
2006
220views Algorithms» more  ACID 2006»
13 years 8 months ago
Vertex and Edge Covers with Clustering Properties: Complexity and Algorithms
We consider the concepts of a t-total vertex cover and a t-total edge cover (t 1), which generalize the notions of a vertex cover and an edge cover, respectively. A t-total verte...
Henning Fernau, David Manlove
ICALP
2001
Springer
13 years 12 months ago
Approximation Algorithms for Partial Covering Problems
We study the generalization of covering problems to partial covering. Here we wish to cover only a desired number of elements, rather than covering all elements as in standard cov...
Rajiv Gandhi, Samir Khuller, Aravind Srinivasan
APPROX
2005
Springer
150views Algorithms» more  APPROX 2005»
14 years 1 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
MST
2007
138views more  MST 2007»
13 years 7 months ago
Parameterized Complexity of Vertex Cover Variants
Important variants of the Vertex Cover problem (among others, Connected Vertex Cover, Capacitated Vertex Cover, and Maximum Partial Vertex Cover) have been intensively studied in ...
Jiong Guo, Rolf Niedermeier, Sebastian Wernicke