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ICALP
2011
Springer
14 years 9 months 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 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
APPROX
2005
Springer
150views Algorithms» more  APPROX 2005»
15 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
ESA
2003
Springer
124views Algorithms» more  ESA 2003»
15 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
FAW
2008
Springer
137views Algorithms» more  FAW 2008»
15 years 7 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