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COCOON
2005
Springer
13 years 11 months ago
Solovay Reducibility on D-c.e Real Numbers
A c.e. real x is Solovay reducible to another c.e. real y if x can be approximated at least as efficiently as y by means of increasing computable sequences of rational numbers. The...
Robert Rettinger, Xizhong Zheng
STOC
2006
ACM
116views Algorithms» more  STOC 2006»
14 years 10 months ago
Linear degree extractors and the inapproximability of max clique and chromatic number
: We derandomize results of H?astad (1999) and Feige and Kilian (1998) and show that for all > 0, approximating MAX CLIQUE and CHROMATIC NUMBER to within n1are NP-hard. We furt...
David Zuckerman
COCOON
2005
Springer
14 years 3 months ago
Randomized Quicksort and the Entropy of the Random Source
Abstract. The worst-case complexity of an implementation of Quicksort depends on the random number generator that is used to select the pivot elements. In this paper we estimate th...
Beatrice List, Markus Maucher, Uwe Schöning, ...
AAECC
2002
Springer
116views Algorithms» more  AAECC 2002»
13 years 9 months ago
A Computer Proof of a Series Evaluation in Terms of Harmonic Numbers
A fruitful interaction between a new randomized WZ procedure and other computer algebra programs is illustrated by the computer proof of a series evaluation that originates from a ...
Russell Lyons, Peter Paule, Axel Riese
IPL
2007
79views more  IPL 2007»
13 years 9 months ago
Uniform metrical task systems with a limited number of states
We give a randomized algorithm (the ”Wedge Algorithm”) of competitiveness 3 2 Hk − 1 2k for any metrical task system on a uniform space of k points, for any k ≥ 2, where H...
Wolfgang W. Bein, Lawrence L. Larmore, John Noga