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» On the Space Complexity of Randomized Synchronization
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CORR
2010
Springer
117views Education» more  CORR 2010»
13 years 4 months ago
An Optimal Lower Bound on the Communication Complexity of Gap-Hamming-Distance
We prove an optimal (n) lower bound on the randomized communication complexity of the much-studied GAP-HAMMING-DISTANCE problem. As a consequence, we obtain essentially optimal mu...
Amit Chakrabarti, Oded Regev
COCO
2005
Springer
80views Algorithms» more  COCO 2005»
14 years 28 days ago
New Results on the Complexity of the Middle Bit of Multiplication
It is well known that the hardest bit of integer multiplication is the middle bit, i.e. MULn−1,n. This paper contains several new results on its complexity. First, the size s of...
Ingo Wegener, Philipp Woelfel
TIT
2010
122views Education» more  TIT 2010»
13 years 2 months ago
Biological information as set-based complexity
The significant and meaningful fraction of all the potential information residing in the molecules and structures of living systems is unknown. Sets of random molecular sequences o...
David J. Galas, Matti Nykter, Gregory W. Carter, N...
CORR
2006
Springer
98views Education» more  CORR 2006»
13 years 7 months ago
Reversal Complexity Revisited
We study a generalized version of reversal bounded Turing machines where, apart from several tapes on which the number of head reversals is bounded by r(n), there are several furth...
André Hernich, Nicole Schweikardt
ICDT
2009
ACM
147views Database» more  ICDT 2009»
14 years 8 months ago
The average-case complexity of counting distinct elements
We continue the study of approximating the number of distinct elements in a data stream of length n to within a (1? ) factor. It is known that if the stream may consist of arbitra...
David P. Woodruff