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» Parameterized approximation of dominating set problems
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WADS
2005
Springer
114views Algorithms» more  WADS 2005»
15 years 5 months ago
Linear Time Algorithms for Generalized Edge Dominating Set Problems
Abstract. In this paper we consider a generalization of the edge dominating set (EDS) problem, in which each edge e needs to be covered be times and refer to this as the b-EDS prob...
André Berger, Ojas Parekh
MST
2010
187views more  MST 2010»
14 years 7 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
WDAG
2010
Springer
233views Algorithms» more  WDAG 2010»
14 years 10 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
SODA
2010
ACM
261views Algorithms» more  SODA 2010»
15 years 9 months ago
Bidimensionality and Kernels
Bidimensionality theory appears to be a powerful framework in the development of meta-algorithmic techniques. It was introduced by Demaine et al. [J. ACM 2005 ] as a tool to obtai...
Fedor V. Fomin, Daniel Lokshtanov, Saket Saurabh, ...
IWPEC
2009
Springer
15 years 6 months ago
Planar Capacitated Dominating Set Is W[1]-Hard
Given a graph G together with a capacity function c : V (G) → N, we call S ⊆ V (G) a capacitated dominating set if there exists a mapping f : (V (G) \ S) → S which maps every...
Hans L. Bodlaender, Daniel Lokshtanov, Eelko Penni...