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IPL
2008
129views more  IPL 2008»
13 years 7 months ago
Parameterized approximation of dominating set problems
A problem open for many years is whether there is an FPT algorithm that given a graph G and parameter k, either: (1) determines that G has no k-Dominating Set, or (2) produces a do...
Rodney G. Downey, Michael R. Fellows, Catherine Mc...
CCCG
2010
13 years 9 months ago
Connected dominating sets on dynamic geometric graphs
We propose algorithms for efficiently maintaining a constant-approximate minimum connected dominating set (MCDS) of a geometric graph under node insertions and deletions. Assuming...
Leonidas J. Guibas, Nikola Milosavljevic, Arik Mot...
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...
SODA
2012
ACM
218views Algorithms» more  SODA 2012»
11 years 10 months ago
Linear kernels for (connected) dominating set on H-minor-free graphs
We give the first linear kernels for DOMINATING SET and CONNECTED DOMINATING SET problems on graphs excluding a fixed graph H as a minor. In other words, we give polynomial time...
Fedor V. Fomin, Daniel Lokshtanov, Saket Saurabh, ...
WDAG
2010
Springer
233views Algorithms» more  WDAG 2010»
13 years 6 months ago
Minimum Dominating Set Approximation in Graphs of Bounded Arboricity
Abstract. Since in general it is NP-hard to solve the minimum dominating set problem even approximatively, a lot of work has been dedicated to central and distributed approximation...
Christoph Lenzen, Roger Wattenhofer