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» Ramsey numbers of sparse hypergraphs
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GC
2008
Springer
13 years 5 months ago
On the Ramsey Number of Sparse 3-Graphs
Brendan Nagle, Sayaka Olsen, Vojtech Rödl, Ma...
STOC
2006
ACM
108views Algorithms» more  STOC 2006»
14 years 5 months ago
Extractors for a constant number of polynomially small min-entropy independent sources
We consider the problem of randomness extraction from independent sources. We construct an extractor that can extract from a constant number of independent sources of length n, ea...
Anup Rao
APPROX
2004
Springer
105views Algorithms» more  APPROX 2004»
13 years 10 months ago
Counting Connected Graphs and Hypergraphs via the Probabilistic Method
While it is exponentially unlikely that a sparse random graph or hypergraph is connected, with probability 1 − o(1) such a graph has a “giant component” that, given its numbe...
Amin Coja-Oghlan, Cristopher Moore, Vishal Sanwala...
PDP
2010
IEEE
13 years 11 months ago
On the Scalability of Hypergraph Models for Sparse Matrix Partitioning
Abstract—We investigate the scalability of the hypergraphbased sparse matrix partitioning methods with respect to the increasing sizes of matrices and number of nonzeros. We prop...
Bora Ucar, Ümit V. Çatalyürek
FOCS
2004
IEEE
13 years 8 months ago
Extracting Randomness Using Few Independent Sources
In this work we give the first deterministic extractors from a constant number of weak sources whose entropy rate is less than 1/2. Specifically, for every > 0 we give an expl...
Boaz Barak, Russell Impagliazzo, Avi Wigderson