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RSA
2000
104views more  RSA 2000»
13 years 4 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
SIROCCO
1997
13 years 5 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
MFCS
1997
Springer
13 years 8 months ago
Resolution Proofs, Exponential Bounds, and Kolmogorov Complexity
We prove an exponential lower bound for the length of any resolution proof for the same set of clauses as the one used by Urquhart [13]. Our contribution is a significant simpli...
Uwe Schöning
CORR
2011
Springer
172views Education» more  CORR 2011»
12 years 11 months ago
Possibilities and impossibilities in Kolmogorov complexity extraction
Randomness extraction is the process of constructing a source of randomness of high quality from one or several sources of randomness of lower quality. The problem can be modeled ...
Marius Zimand
ICALP
2009
Springer
14 years 4 months ago
High Complexity Tilings with Sparse Errors
Abstract. Tile sets and tilings of the plane appear in many topics ranging from logic (the Entscheidungsproblem) to physics (quasicrystals). The idea is to enforce some global prop...
Bruno Durand, Andrei E. Romashchenko, Alexander Sh...