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» The Secrecy Graph and Some of its Properties
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CORR
2008
Springer
139views Education» more  CORR 2008»
13 years 4 months ago
The Secrecy Graph and Some of its Properties
A new random geometric graph model, the so-called secrecy graph, is introduced and studied. The graph represents a wireless network and includes only edges over which secure commun...
Martin Haenggi
DIMACS
1996
13 years 5 months ago
On the Expression of Graph Properties in some Fragments of Monadic Second-Order Logic
: We review the expressibility of some basic graph properties in certain fragments of Monadic Second-Order logic, like the set of Monadic-NP formulas. We focus on cases where a pro...
Bruno Courcelle
STOC
2006
ACM
168views Algorithms» more  STOC 2006»
14 years 4 months ago
A combinatorial characterization of the testable graph properties: it's all about regularity
A common thread in all the recent results concerning the testing of dense graphs is the use of Szemer?edi's regularity lemma. In this paper we show that in some sense this is...
Noga Alon, Eldar Fischer, Ilan Newman, Asaf Shapir...
CORR
2010
Springer
129views Education» more  CORR 2010»
13 years 3 months ago
Estimation in Gaussian Noise: Properties of the Minimum Mean-Square Error
Consider the minimum mean-square error (MMSE) of estimating an arbitrary random variable from its observation contaminated by Gaussian noise. The MMSE can be regarded as a function...
Dongning Guo, Yihong Wu, Shlomo Shamai, Sergio Ver...
FOCS
2005
IEEE
13 years 10 months ago
A Characterization of the (natural) Graph Properties Testable with One-Sided Error
The problem of characterizing all the testable graph properties is considered by many to be the most important open problem in the area of property-testing. Our main result in thi...
Noga Alon, Asaf Shapira