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» Induced Subgraphs of Bounded Degree and Bounded Treewidth
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ENDM
2007
140views more  ENDM 2007»
13 years 7 months ago
Acyclic dominating partitions
Given a graph G = (V, E), let P be a partition of V . We say that P is dominating if, for each part P of P, the set V \ P is a dominating set in G (equivalently, if every vertex h...
Louigi Addario-Berry, Ross J. Kang
LATIN
2010
Springer
14 years 2 months ago
Sharp Separation and Applications to Exact and Parameterized Algorithms
Many divide-and-conquer algorithms employ the fact that the vertex set of a graph of bounded treewidth can be separated in two roughly balanced subsets by removing a small subset o...
Fedor V. Fomin, Daniel Lokshtanov, Fabrizio Grando...
SODA
2008
ACM
70views Algorithms» more  SODA 2008»
13 years 8 months ago
Optimal universal graphs with deterministic embedding
Let H be a finite family of graphs. A graph G is H-universal if it contains a copy of each H H as a subgraph. Let H(k, n) denote the family of graphs on n vertices with maximum d...
Noga Alon, Michael R. Capalbo
RSA
2010
91views more  RSA 2010»
13 years 5 months ago
The second largest component in the supercritical 2D Hamming graph
The 2-dimensional Hamming graph H(2, n) consists of the n2 vertices (i, j), 1 ≤ i, j ≤ n, two vertices being adjacent when they share a common coordinate. We examine random sub...
Remco van der Hofstad, Malwina J. Luczak, Joel Spe...
GBRPR
2003
Springer
14 years 17 days ago
Constructing Stochastic Pyramids by MIDES - Maximal Independent Directed Edge Set
Abstract. We present a new method (MIDES) to determine contraction kernels for the construction of graph pyramids. Experimentally the new method has a reduction factor higher than ...
Yll Haxhimusa, Roland Glantz, Walter G. Kropatsch