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» Approximate Halfspace Range Counting
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SODA
2010
ACM
202views Algorithms» more  SODA 2010»
14 years 2 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
13 years 10 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
13 years 10 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 5 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 7 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