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» On Bounds for the k-Partitioning of Graphs
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ECCC
2010
89views more  ECCC 2010»
15 years 6 months ago
Lower bounds for designs in symmetric spaces
A design is a finite set of points in a space on which every "simple" functions averages to its global mean. Illustrative examples of simple functions are low-degree pol...
Noa Eidelstein, Alex Samorodnitsky
TOC
2008
122views more  TOC 2008»
15 years 6 months ago
Derandomizing the Ahlswede-Winter matrix-valued Chernoff bound using pessimistic estimators, and applications
: Ahlswede and Winter [IEEE Trans. Inf. Th. 2002] introduced a Chernoff bound for matrix-valued random variables, which is a non-trivial generalization of the usual Chernoff bound ...
Avi Wigderson, David Xiao
ALGORITHMICA
2004
111views more  ALGORITHMICA 2004»
15 years 6 months ago
Automated Generation of Search Tree Algorithms for Hard Graph Modification Problems
We present a framework for an automated generation of exact search tree algorithms for NP-hard problems. The purpose of our approach is two-fold--rapid development and improved up...
Jens Gramm, Jiong Guo, Falk Hüffner, Rolf Nie...
FOCS
2006
IEEE
16 years 15 days ago
Minimum Bounded Degree Spanning Trees
We consider the minimum cost spanning tree problem under the restriction that all degrees must be at most a given value k. We show that we can efficiently find a spanning tree o...
Michel X. Goemans
FOCS
2003
IEEE
15 years 11 months ago
Bounded Geometries, Fractals, and Low-Distortion Embeddings
The doubling constant of a metric space (X, d) is the smallest value λ such that every ball in X can be covered by λ balls of half the radius. The doubling dimension of X is the...
Anupam Gupta, Robert Krauthgamer, James R. Lee