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TAMC
2009
Springer
15 years 9 months ago
Linear Kernel for Planar Connected Dominating Set
We provide polynomial time data reduction rules for Connected Dominating Set in planar graphs and analyze these to obtain a linear kernel for the planar Connected Dominating Set pr...
Daniel Lokshtanov, Matthias Mnich, Saket Saurabh
147
Voted
SODA
2012
ACM
218views Algorithms» more  SODA 2012»
13 years 5 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, ...
CCCG
2010
15 years 4 months ago
3d local algorithm for dominating sets of unit disk graphs
A dominating set of a graph G = (V, E) is a subset V V of the nodes such that for all nodes v V , either v V or a neighbor u of v is in V . Several routing protocols in ad hoc ...
Alaa Eddien Abdallah, Thomas Fevens, Jaroslav Opat...
152
Voted
WDAG
2010
Springer
233views Algorithms» more  WDAG 2010»
15 years 1 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
COCOA
2008
Springer
15 years 5 months ago
Computational Study on Dominating Set Problem of Planar Graphs
Abstract: Recently, there have been significant theoretical progresses towards fixed-parameter algorithms for the DOMINATING SET problem of planar graphs. It is known that the prob...
Marjan Marzban, Qian-Ping Gu, Xiaohua Jia