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» Bounds on generalized Frobenius numbers
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MP
2006
121views more  MP 2006»
13 years 7 months ago
Approximate fixed-rank closures of covering problems
Consider a 0/1 integer program min{cT x : Ax b, x {0, 1}n } where A is nonnegative. We show that if the number of minimal covers of Ax b is polynomially bounded, then there is ...
Daniel Bienstock, Mark Zuckerberg
STOC
2007
ACM
137views Algorithms» more  STOC 2007»
14 years 8 months 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...
JCT
2010
112views more  JCT 2010»
13 years 6 months ago
More on block intersection polynomials and new applications to graphs and block designs
The concept of intersection numbers of order r for t-designs is generalized to graphs and to block designs which are not necessarily t-designs. These intersection numbers satisfy ...
Leonard H. Soicher
CORR
2008
Springer
126views Education» more  CORR 2008»
13 years 7 months ago
Approximate Capacity of Gaussian Relay Networks
We present an achievable rate for general Gaussian relay networks. We show that the achievable rate is within a constant number of bits from the information-theoretic cut-set uppe...
Amir Salman Avestimehr, Suhas N. Diggavi, David N....
CORR
2006
Springer
110views Education» more  CORR 2006»
13 years 7 months ago
Multiple Access Channels with State Information Known at Some Encoders
We consider a multiple access channel (MAC) with channel state information (CSI) non-causally known at some encoders. For simplicity of exposition, we focus on a two-encoder model...
Shivaprasad Kotagiri, J. Nicholas Laneman