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» Power Domination Problem in Graphs
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DAM
2011
13 years 2 months ago
Powers of cycles, powers of paths, and distance graphs
In 1988, Golumbic and Hammer characterized powers of cycles, relating them to circular-arc graphs. We extend their results and propose several further structural characterizations ...
Min Chih Lin, Dieter Rautenbach, Francisco J. Soul...
ALGORITHMICA
2006
100views more  ALGORITHMICA 2006»
13 years 7 months ago
Error Compensation in Leaf Power Problems
The k-Leaf Power recognition problem is a particular case of graph power problems: For a given graph it asks whether there exists an unrooted tree--the k-leaf root--with leaves on...
Michael Dom, Jiong Guo, Falk Hüffner, Rolf Ni...
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...
DM
2008
139views more  DM 2008»
13 years 7 months ago
On domination and reinforcement numbers in trees
The reinforcement number of a graph is the smallest number of edges that have to be added to a graph to reduce the domination number. We introduce the k-reinforcement number of a ...
Jean R. S. Blair, Wayne Goddard, Stephen T. Hedetn...
WDAG
2010
Springer
233views Algorithms» more  WDAG 2010»
13 years 5 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