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» A Lower Bound for Primality
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CORR
2008
Springer
132views Education» more  CORR 2008»
13 years 7 months ago
Lower Bounds on the Rate-Distortion Function of Individual LDGM Codes
Abstract-- We consider lossy compression of a binary symmetric source by means of a low-density generator-matrix code. We derive two lower bounds on the rate distortion function wh...
Shrinivas Kudekar, Rüdiger L. Urbanke
ESA
2004
Springer
129views Algorithms» more  ESA 2004»
14 years 1 months ago
Contraction and Treewidth Lower Bounds
Edge contraction is shown to be a useful mechanism to improve lower bound heuristics for treewidth. A successful lower bound for treewidth is the degeneracy: the maximum over all ...
Hans L. Bodlaender, Arie M. C. A. Koster, Thomas W...
CORR
2010
Springer
149views Education» more  CORR 2010»
13 years 7 months ago
Lower Bounds for the Complexity of Monadic Second-Order Logic
Courcelle's famous theorem from 1990 states that any property of graphs definable in monadic second-order logic (MSO2) can be decided in linear time on any class of graphs of ...
Stephan Kreutzer, Siamak Tazari
STOC
2004
ACM
177views Algorithms» more  STOC 2004»
14 years 8 months ago
Lower bounds for linear degeneracy testing
Abstract. In the late nineties, Erickson proved a remarkable lower bound on the decision tree complexity of one of the central problems of computational geometry: given n numbers, ...
Nir Ailon, Bernard Chazelle
ICC
2009
IEEE
165views Communications» more  ICC 2009»
14 years 2 months ago
Arbitrarily Tight Upper and Lower Bounds on the Gaussian Q-Function and Related Functions
—We present a new family of tight lower and upper bounds on the Gaussian Q-function Q(x). It is first shown that, for any x, the integrand ϕ(θ; x) of the Craig representation ...
Giuseppe Thadeu Freitas de Abreu