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» Randomness, lowness and degrees
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CIE
2009
Springer
14 years 4 months ago
Lowness for Demuth Randomness
We show that every real low for Demuth randomness is of hyperimmune-free degree.
Rod Downey, Keng Meng Ng
JSYML
2011
87views more  JSYML 2011»
13 years 4 months ago
Benign cost functions and lowness properties
We show that the class of strongly jump-traceable c.e. sets can be characterised as those which have sufficiently slow enumerations so they obey a class of well-behaved cost functi...
Noam Greenberg, André Nies
JSYML
2008
108views more  JSYML 2008»
13 years 9 months ago
Randomness, lowness and degrees
We say that A LR B if every B-random number is A-random. Intuitively this means that if oracle A can identify some patterns on some real , oracle B can also find patterns on . In o...
George Barmpalias, Andrew E. M. Lewis, Mariya Ivan...
MFCS
2007
Springer
14 years 3 months ago
Uncover Low Degree Vertices and Minimise the Mess: Independent Sets in Random Regular Graphs
Abstract. We present algorithmic lower bounds on the size of the largest independent sets of vertices in a random d-regular graph. Our bounds hold with probability approaching one ...
William Duckworth, Michele Zito
FOCS
2004
IEEE
14 years 1 months ago
Testing Low-Degree Polynomials over Prime Fields
We present an efficient randomized algorithm to test if a given function f : Fn p Fp (where p is a prime) is a low-degree polynomial. This gives a local test for Generalized Reed...
Charanjit S. Jutla, Anindya C. Patthak, Atri Rudra...