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» Vertex Cover Approximations on Random Graphs
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ICALP
2011
Springer
12 years 8 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
FOCS
2002
IEEE
13 years 10 months ago
Covering Problems with Hard Capacities
We consider the classical vertex cover and set cover problems with the addition of hard capacity constraints. This means that a set (vertex) can only cover a limited number of its...
Julia Chuzhoy, Joseph Naor
ESA
2001
Springer
132views Algorithms» more  ESA 2001»
13 years 9 months ago
Greedy Algorithms for Minimisation Problems in Random Regular Graphs
In this paper we introduce a general strategy for approximating the solution to minimisation problems in random regular graphs. We describe how the approach can be applied to the m...
Michele Zito
APPROX
2008
Springer
173views Algorithms» more  APPROX 2008»
13 years 7 months ago
Connected Vertex Covers in Dense Graphs
We consider the variant of the minimum vertex cover problem in which we require that the cover induces a connected subgraph. We give new approximation results for this problem in d...
Jean Cardinal, Eythan Levy
COCOON
2004
Springer
13 years 10 months ago
An Approximation Algorithm for Weighted Weak Vertex Cover Problem in Undirected Graphs
The problem of efficiently monitoring the network flow is regarded as the one to find out the minimum weighted weak vertex cover set for a given graph G = (V, E) with weight func...
Yong Zhang, Hong Zhu