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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
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
COMPGEOM
2010
ACM
13 years 9 months ago
A dynamic data structure for approximate range searching
In this paper, we introduce a simple, randomized dynamic data structure for storing multidimensional point sets, called a quadtreap. This data structure is a randomized, balanced ...
David M. Mount, Eunhui Park
SIBGRAPI
2008
IEEE
13 years 11 months ago
Tradeoffs in Approximate Range Searching Made Simpler
Range searching is a fundamental problem in computational geometry. The problem involves preprocessing a set of n points in Rd into a data structure, so that it is possible to det...
Sunil Arya, Guilherme Dias da Fonseca, David M. Mo...