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ECCC
2000
117views more  ECCC 2000»
14 years 9 months ago
On Testing Expansion in Bounded-Degree Graphs
We consider testing graph expansion in the bounded-degree graph model. Specifically, we refer to algorithms for testing whether the graph has a second eigenvalue bounded above by a...
Oded Goldreich, Dana Ron
COCO
2009
Springer
128views Algorithms» more  COCO 2009»
15 years 4 months ago
Inapproximability of Vertex Cover and Independent Set in Bounded Degree Graphs
We study the inapproximability of Vertex Cover and Independent Set on degree d graphs. We prove that: • Vertex Cover is Unique Games-hard to approximate to within a factor 2−(...
Per Austrin, Subhash Khot, Muli Safra
COMBINATORICA
2006
137views more  COMBINATORICA 2006»
14 years 9 months ago
Extremal Problems For Transversals In Graphs With Bounded Degree
We introduce and discuss generalizations of the problem of independent transversals. Given a graph property R, we investigate whether any graph of maximum degree at most d with a ...
Tibor Szabó, Gábor Tardos
IWPEC
2009
Springer
15 years 4 months ago
Bounded-Degree Techniques Accelerate Some Parameterized Graph Algorithms
Many parameterized algorithms for NP-hard graph problems are search tree algorithms with sophisticated local branching rules. But it has also been noticed that the global structur...
Peter Damaschke
APPROX
2009
Springer
80views Algorithms» more  APPROX 2009»
15 years 4 months ago
The Glauber Dynamics for Colourings of Bounded Degree Trees
Brendan Lucier, Michael Molloy, Yuval Peres