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» An optimal algorithm for the distinct elements problem
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SWAT
1992
Springer
116views Algorithms» more  SWAT 1992»
13 years 9 months ago
Sorting Multisets Stably in Minimum Space
Abstract. In a decision tree model, (n log2 n m i=1 ni log2 ni + n) is known to be a lower bound for sorting a multiset of size n containing m distinct elements, where the ith dist...
Jyrki Katajainen, Tomi Pasanen
EDBT
2008
ACM
160views Database» more  EDBT 2008»
14 years 5 months ago
Why go logarithmic if we can go linear?: Towards effective distinct counting of search traffic
Estimating the number of distinct elements in a large multiset has several applications, and hence has attracted active research in the past two decades. Several sampling and sket...
Ahmed Metwally, Divyakant Agrawal, Amr El Abbadi
CORR
2006
Springer
138views Education» more  CORR 2006»
13 years 5 months ago
Tight Bounds on the Complexity of Recognizing Odd-Ranked Elements
Let S = s1, s2, s3, ..., sn be a given vector of n distinct real numbers. The rank of z R with respect to S is defined as the number of elements si S such that si z. We consider...
Shripad Thite
ADC
2010
Springer
266views Database» more  ADC 2010»
13 years 7 days ago
Counting distinct objects over sliding windows
Aggregation against distinct objects has been involved in many real applications with the presence of duplicates, including real-time monitoring moving objects. In this paper, we ...
Wenjie Zhang, Ying Zhang, Muhammad Aamir Cheema, X...
COMPUTING
2008
174views more  COMPUTING 2008»
13 years 5 months ago
Multilevel algorithms for Rannacher-Turek finite element approximation of 3D elliptic problems
Generalizing the approach of a previous work [15] the authors present multilevel preconditioners for three-dimensional (3D) elliptic problems discretized by a family of Rannacher ...
Ivan Georgiev, Johannes Kraus, Svetozar Margenov