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» Dominating Sets in Web Graphs
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128
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MST
2010
187views more  MST 2010»
14 years 6 months ago
Distributed Approximation of Capacitated Dominating Sets
We study local, distributed algorithms for the capacitated minimum dominating set (CapMDS) problem, which arises in various distributed network applications. Given a network graph...
Fabian Kuhn, Thomas Moscibroda
107
Voted
CORR
2002
Springer
144views Education» more  CORR 2002»
14 years 11 months ago
Polynomial Time Data Reduction for Dominating Set
Dealing with the NP-complete Dominating Set problem on graphs, we demonstrate the power of data reduction by preprocessing from a theoretical as well as a practical side. In parti...
Jochen Alber, Michael R. Fellows, Rolf Niedermeier
85
Voted
TALG
2008
115views more  TALG 2008»
14 years 11 months ago
Combinatorial bounds via measure and conquer: Bounding minimal dominating sets and applications
We provide an algorithm listing all minimal dominating sets of a graph on n vertices in
Fedor V. Fomin, Fabrizio Grandoni, Artem V. Pyatki...
MOBIHOC
2002
ACM
15 years 11 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
72
Voted
JDA
2006
59views more  JDA 2006»
14 years 11 months ago
A note on the complexity of minimum dominating set
The currently (asymptotically) fastest algorithm for minimum dominating set on graphs of n nodes is the trivial (2n) algorithm which enumerates and checks all the subsets of
Fabrizio Grandoni