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» Polynomial Time Data Reduction for Dominating Set
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CORR
2002
Springer
144views Education» more  CORR 2002»
9 years 6 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
TAMC
2009
Springer
10 years 1 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
SODA
2012
ACM
218views Algorithms» more  SODA 2012»
7 years 9 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, ...
WG
2005
Springer
10 years 6 days ago
Optimal Broadcast Domination of Arbitrary Graphs in Polynomial Time
Broadcast domination was introduced by Erwin in 2002, and it is a variant of the standard dominating set problem, such that vertices can be assigned various domination powers. Broa...
Pinar Heggernes, Daniel Lokshtanov
DM
2006
108views more  DM 2006»
9 years 6 months ago
Optimal broadcast domination in polynomial time
Broadcast domination was introduced by Erwin in 2002, and it is a variant of the standard dominating set problem, such that different vertices can be assigned different domination...
Pinar Heggernes, Daniel Lokshtanov
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