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CORR
2006
Springer
128views Education» more  CORR 2006»
13 years 4 months ago
The Shannon capacity of a graph and the independence numbers of its powers
The independence numbers of powers of graphs have been long studied, under several definitions of graph products, and in particular, under the strong graph product. We show that t...
Noga Alon, Eyal Lubetzky
TIT
2011
109views more  TIT 2011»
12 years 11 months ago
On Achieving Local View Capacity Via Maximal Independent Graph Scheduling
—“If we know more, we can achieve more.” This adage also applies to networks, where more information about the network state translates into higher sum-rates. In this paper, ...
Vaneet Aggarwal, Amir Salman Avestimehr, Ashutosh ...
CORR
2007
Springer
149views Education» more  CORR 2007»
13 years 4 months ago
Graph Entropy, Network Coding and Guessing games
We introduce the (private) entropy of a directed graph (in a new network coding sense) as well as a number of related concepts. We show that the entropy of a directed graph is ide...
Søren Riis
COMBINATORICA
2007
126views more  COMBINATORICA 2007»
13 years 4 months ago
Privileged users in zero-error transmission over a noisy channel
The k-th power of a graph G is the graph whose vertex set is V (G)k , where two distinct ktuples are adjacent iff they are equal or adjacent in G in each coordinate. The Shannon ...
Noga Alon, Eyal Lubetzky
SIBGRAPI
2006
IEEE
13 years 10 months ago
Increasing statistical power in medical image analysis
In this paper, we present a novel method for estimating the effective number of independent variables in imaging applications that require multiple hypothesis testing. The method ...
Alexei Manso Correa Machado