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» Kolmogorov Complexity Cores
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ICALP
2010
Springer
15 years 6 months ago
Network Design via Core Detouring for Problems without a Core
Some of the currently best-known approximation algorithms for network design are based on random sampling. One of the key steps of such algorithms is connecting a set of source nod...
Fabrizio Grandoni, Thomas Rothvoß
APAL
2006
64views more  APAL 2006»
15 years 2 months ago
What can be efficiently reduced to the Kolmogorov-random strings?
We investigate the question of whether one can characterize complexity classes (such as PSPACE or NEXP) in terms of efficient reducibility to the set of Kolmogorovrandom strings R...
Eric Allender, Harry Buhrman, Michal Koucký
CIE
2009
Springer
15 years 8 months ago
On Generating Independent Random Strings
It is shown that from two strings that are partially random and independent (in the sense of Kolmogorov complexity) it is possible to effectively construct polynomially many strin...
Marius Zimand
DAGSTUHL
2006
15 years 3 months ago
Multisource Algorithmic Information Theory
Multisource information theory in Shannon setting is well known. In this article we try to develop its algorithmic information theory counterpart and use it as the general framewo...
Alexander Shen