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» Bounds on the k-domination number of a graph
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GD
2005
Springer
15 years 5 months ago
Graph Treewidth and Geometric Thickness Parameters
Consider a drawing of a graph G in the plane such that crossing edges are coloured differently. The minimum number of colours, taken over all drawings of G, is the classical graph...
Vida Dujmovic, David R. Wood
STOC
2007
ACM
137views Algorithms» more  STOC 2007»
16 years 4 days ago
Testing k-wise and almost k-wise independence
In this work, we consider the problems of testing whether a distribution over {0, 1}n is k-wise (resp. ( , k)-wise) independent using samples drawn from that distribution. For the...
Noga Alon, Alexandr Andoni, Tali Kaufman, Kevin Ma...
SPAA
2009
ACM
16 years 11 days ago
On randomized representations of graphs using short labels
Informative labeling schemes consist in labeling the nodes of graphs so that queries regarding any two nodes (e.g., are the two nodes adjacent?) can be answered by inspecting mere...
Pierre Fraigniaud, Amos Korman
COMPGEOM
2010
ACM
15 years 4 months ago
Kinetic stable Delaunay graphs
The best known upper bound on the number of topological changes in the Delaunay triangulation of a set of moving points in R2 is (nearly) cubic, even if each point is moving with ...
Pankaj K. Agarwal, Jie Gao, Leonidas J. Guibas, Ha...
MFCS
2005
Springer
15 years 5 months ago
Nondeterministic Graph Searching: From Pathwidth to Treewidth
Abstract. We introduce nondeterministic graph searching with a controlled amount of nondeterminism and show how this new tool can be used in algorithm design and combinatorial anal...
Fedor V. Fomin, Pierre Fraigniaud, Nicolas Nisse