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» Parameterized approximation of dominating set problems
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COLOGNETWENTE
2007
13 years 9 months ago
Approximating minimum independent dominating sets in wireless networks
We present the first polynomial-time approximation scheme (PTAS) for the Minimum Independent Dominating Set problem in graphs of polynomially bounded growth. Graphs of bounded gr...
Johann Hurink, Tim Nieberg
APPROX
2006
Springer
234views Algorithms» more  APPROX 2006»
13 years 11 months ago
Constant-Factor Approximation for Minimum-Weight (Connected) Dominating Sets in Unit Disk Graphs
For a given graph with weighted vertices, the goal of the minimum-weight dominating set problem is to compute a vertex subset of smallest weight such that each vertex of the graph...
Christoph Ambühl, Thomas Erlebach, Matú...
TCS
1998
13 years 7 months ago
Threshold Dominating Sets and an Improved Characterization of W[2]
The Threshold Dominating Set problem is that of determining for a graph G = (V, E) whether there is a subset V ⊆ V of size k, such that for each vertex v ∈ V there are at leas...
Rodney G. Downey, Michael R. Fellows
ALGORITHMICA
1998
184views more  ALGORITHMICA 1998»
13 years 7 months ago
Approximation Algorithms for Connected Dominating Sets
The dominatingset problemin graphs asks for a minimumsize subset of vertices with the followingproperty: each vertex is required to either be in the dominating set, or adjacent to...
Sudipto Guha, Samir Khuller
CORR
2010
Springer
112views Education» more  CORR 2010»
13 years 7 months ago
Approximation Algorithms for Dominating Set in Disk Graphs
We consider the problem of finding a lowest cost dominating set in a given disk graph containing n disks. The problem has been extensively studied on subclasses of disk graphs, ye...
Matt Gibson, Imran A. Pirwani