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ICALP
2011
Springer
14 years 28 days ago
Vertex Cover in Graphs with Locally Few Colors
In [13], Erd˝os et al. defined the local chromatic number of a graph as the minimum number of colors that must appear within distance 1 of a vertex. For any ∆ ≥ 2, there are ...
Fabian Kuhn, Monaldo Mastrolilli
ICALP
2001
Springer
15 years 1 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»
15 years 3 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
ESA
2003
Springer
124views Algorithms» more  ESA 2003»
15 years 2 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
FAW
2008
Springer
137views Algorithms» more  FAW 2008»
14 years 11 months ago
Constraint Bipartite Vertex Cover: Simpler Exact Algorithms and Implementations
constraint bipartite vertex cover is a graph-theoretical formalization of the spare allocation problem for reconfigurable arrays. We report on an implementation of a parameterized ...
Guoqiang Bai 0002, Henning Fernau