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» Computational Study on Dominating Set Problem of Planar Grap...
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84
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FSTTCS
2009
Springer
15 years 4 months ago
Domination Problems in Nowhere-Dense Classes
We investigate the parameterized complexity of generalisations and variations of the dominating set problem on classes of graphs that are nowhere dense. In particular, we show that...
Anuj Dawar, Stephan Kreutzer
121
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OL
2011
242views Neural Networks» more  OL 2011»
14 years 4 months ago
On connected domination in unit ball graphs
Given a simple undirected graph, the minimum connected dominating set problem is to find a minimum cardinality subset of vertices D inducing a connected subgraph such that each ve...
Sergiy Butenko, Sera Kahruman-Anderoglu, Oleksii U...
87
Voted
ALGORITHMICA
2006
138views more  ALGORITHMICA 2006»
14 years 9 months ago
Planar Graph Coloring Avoiding Monochromatic Subgraphs: Trees and Paths Make It Difficult
We consider the problem of coloring a planar graph with the minimum number of colors so that each color class avoids one or more forbidden graphs as subgraphs. We perform a detail...
Hajo Broersma, Fedor V. Fomin, Jan Kratochví...
SIAMCOMP
1998
114views more  SIAMCOMP 1998»
14 years 9 months ago
Maximum k-Chains in Planar Point Sets: Combinatorial Structure and Algorithms
A chain of a set P of n points in the plane is a chain of the dominance order on P. A k-chain is a subset C of P that can be covered by k chains. A k-chain C is a maximum k-chain ...
Stefan Felsner, Lorenz Wernisch
NIPS
2004
14 years 11 months ago
Efficient Out-of-Sample Extension of Dominant-Set Clusters
Dominant sets are a new graph-theoretic concept that has proven to be relevant in pairwise data clustering problems, such as image segmentation. They generalize the notion of a ma...
Massimiliano Pavan, Marcello Pelillo