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» Randomized Algorithms and Complexity Theory
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ICALP
2000
Springer
15 years 3 months ago
Average Bit-Complexity of Euclidean Algorithms
Abstract. We obtain new results regarding the precise average bitcomplexity of five algorithms of a broad Euclidean type. We develop a general framework for analysis of algorithms,...
Ali Akhavi, Brigitte Vallée
JACM
2000
119views more  JACM 2000»
14 years 11 months ago
A minimum spanning tree algorithm with Inverse-Ackermann type complexity
A deterministic algorithm for computing a minimum spanning tree of a connected graph is presented. Its running time is O(m (m, n)), where is the classical functional inverse of Ack...
Bernard Chazelle
CSR
2007
Springer
15 years 3 months ago
On Empirical Meaning of Randomness with Respect to a Real Parameter
We study the empirical meaning of randomness with respect to a family of probability distributions P, where is a real parameter, using algorithmic randomness theory. In the case w...
Vladimir V. V'yugin
COCOON
2005
Springer
15 years 5 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, ...
IPL
2006
104views more  IPL 2006»
14 years 11 months ago
The communication complexity of the Hamming distance problem
We investigate the randomized and quantum communication complexity of the HAMMING DISTANCE problem, which is to determine if the Hamming distance between two n-bit strings is no l...
Wei Huang, Yaoyun Shi, Shengyu Zhang, Yufan Zhu