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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, ...
FSTTCS
2009
Springer
14 years 2 months ago
Subexponential Algorithms for Partial Cover Problems
Partial Cover problems are optimization versions of fundamental and well studied problems like Vertex Cover and Dominating Set. Here one is interested in covering (or dominating) ...
Fedor V. Fomin, Daniel Lokshtanov, Venkatesh Raman...
IWOCA
2009
Springer
104views Algorithms» more  IWOCA 2009»
14 years 2 months ago
An O(n)-Time Algorithm for the Paired-Domination Problem on Permutation Graphs
A vertex subset D of a graph G is a dominating set if every vertex of G is either in D or is adjacent to a vertex in D. The paired-domination problem on G asks for a minimum-cardi...
Evaggelos Lappas, Stavros D. Nikolopoulos, Leonida...
TAMC
2009
Springer
14 years 2 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
SSPR
2010
Springer
13 years 5 months ago
Fast Population Game Dynamics for Dominant Sets and Other Quadratic Optimization Problems
We propose a fast population game dynamics, motivated by the analogy with infection and immunization processes within a population of “players,” for finding dominant sets, a p...
Samuel Rota Bulò, Immanuel M. Bomze, Marcel...