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» Bounds on generalized Frobenius numbers
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MP
2006
121views more  MP 2006»
14 years 11 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»
16 years 5 days 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»
14 years 10 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»
14 years 12 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»
14 years 12 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