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» Randomness, lowness and degrees
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CIE
2009
Springer
15 years 9 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»
14 years 10 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»
15 years 3 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
15 years 9 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
15 years 6 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...