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» Kolmogorov complexity in perspective
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MFCS
2004
Springer
13 years 11 months ago
Scaled Dimension and the Kolmogorov Complexity of Turing-Hard Sets
We study constructive and resource-bounded scaled dimension as an information content measure and obtain several results that parallel previous work on unscaled dimension. Scaled ...
John M. Hitchcock, María López-Vald&...
COCO
2007
Springer
94views Algorithms» more  COCO 2007»
14 years 17 days ago
Low-Depth Witnesses are Easy to Find
Antunes, Fortnow, van Melkebeek and Vinodchandran captured the notion of non-random information by computational depth, the difference between the polynomialtime-bounded Kolmogoro...
Luis Antunes 0002, Lance Fortnow, Alexandre Pinto,...
ICALP
2003
Springer
13 years 11 months ago
Sophistication Revisited
Kolmogorov complexity measures the ammount of information in a string as the size of the shortest program that computes the string. The Kolmogorov structure function divides the s...
Luis Antunes 0002, Lance Fortnow
SIROCCO
1997
13 years 7 months ago
Better Expanders and Superconcentrators by Kolmogorov Complexity
We show the existence of various versions of expander graphs using Kolmogorov complexity. This method seems superior to the usual “probabilistic construction”. Also, the best k...
Uwe Schöning
RSA
2000
104views more  RSA 2000»
13 years 6 months ago
Construction of expanders and superconcentrators using Kolmogorov complexity
We show the existence of various versions of expander graphs using Kolmogorov complexity. This method seems superior to the usual probabilistic construction. It turns out that the...
Uwe Schöning