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» A Lower Bound for Primality
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CORR
2008
Springer
132views Education» more  CORR 2008»
14 years 9 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»
15 years 3 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»
14 years 9 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»
15 years 10 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»
15 years 4 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