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» Approximate Halfspace Range Counting
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SODA
2010
ACM
202views Algorithms» more  SODA 2010»
14 years 5 months ago
Counting Inversions, Offline Orthogonal Range Counting, and Related Problems
We give an O(n lg n)-time algorithm for counting the number of inversions in a permutation on n elements. This improves a long-standing previous bound of O(n lg n/ lg lg n) that ...
Timothy M. Chan, Mihai Patrascu
COMPGEOM
2004
ACM
14 years 1 months ago
Deterministic sampling and range counting in geometric data streams
We present memory-efficient deterministic algorithms for constructing -nets and -approximations of streams of geometric data. Unlike probabilistic approaches, these deterministic...
Amitabha Bagchi, Amitabh Chaudhary, David Eppstein...
COMPGEOM
2004
ACM
14 years 1 months ago
Range counting over multidimensional data streams
We consider the problem of approximate range counting over streams of d-dimensional points. In the data stream model, the algorithm makes a single scan of the data, which is prese...
Subhash Suri, Csaba D. Tóth, Yunhong Zhou
STOC
2001
ACM
159views Algorithms» more  STOC 2001»
14 years 8 months ago
Optimal static range reporting in one dimension
We consider static one dimensional range searching problems. These problems are to build static data structures for an integer set S U, where U = {0, 1, . . . , 2w - 1}, which su...
Stephen Alstrup, Gerth Stølting Brodal, The...
ALGOSENSORS
2008
Springer
13 years 9 months ago
Target Counting under Minimal Sensing: Complexity and Approximations
We consider the problem of counting a set of discrete point targets using a network of sensors under a minimalistic model. Each sensor outputs a single integer, the number of disti...
Sorabh Gandhi, Rajesh Kumar 0003, Subhash Suri