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ESA
2003
Springer
124views Algorithms» more  ESA 2003»
13 years 10 months ago
The Minimum Generalized Vertex Cover Problem
Let G = (V, E) be an undirected graph, with three numbers d0(e) ≥ d1(e) ≥ d2(e) ≥ 0 for each edge e ∈ E. A solution is a subset U ⊆ V and di(e) represents the cost contr...
Refael Hassin, Asaf Levin
ACID
2006
220views Algorithms» more  ACID 2006»
13 years 7 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 10 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
STOC
2002
ACM
91views Algorithms» more  STOC 2002»
14 years 5 months ago
The importance of being biased
The Minimum Vertex Cover problem is the problem of, given a graph, finding a smallest set of vertices that touches all edges. We show that it is NP-hard to approximate this proble...
Irit Dinur, Shmuel Safra
APPROX
2005
Springer
150views Algorithms» more  APPROX 2005»
13 years 11 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