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» Minimum Connected Dominating Sets of Random Cubic Graphs
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COCOON
2007
Springer
14 years 1 months ago
Distributed Approximation Algorithms for Weighted Problems in Minor-Closed Families
We give efficient distributed approximation algorithms for weighted versions of the maximum matching problem and the minimum dominating set problem for graphs from minor-closed fam...
Andrzej Czygrinow, Michal Hanckowiak
MOBIHOC
2002
ACM
14 years 7 months ago
Approximating minimum size weakly-connected dominating sets for clustering mobile ad hoc networks
We present a series of approximation algorithms for finding a small weakly-connected dominating set (WCDS) in a given graph to be used in clustering mobile ad hoc networks. The st...
Yuanzhu Peter Chen, Arthur L. Liestman
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...
WDAG
2010
Springer
233views Algorithms» more  WDAG 2010»
13 years 5 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
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