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COMPGEOM
2005
ACM
13 years 6 months ago
Cache-oblivious planar orthogonal range searching and counting
Lars Arge, Gerth Stølting Brodal, Rolf Fage...
WADS
2009
Springer
268views Algorithms» more  WADS 2009»
13 years 11 months ago
Succinct Orthogonal Range Search Structures on a Grid with Applications to Text Indexing
We present a succinct representation of a set of n points on an n × n grid using n lg n + o(n lg n) bits3 to support orthogonal range counting in O(lg n/ lg lg n) time, and range ...
Prosenjit Bose, Meng He, Anil Maheshwari, Pat Mori...
STOC
2012
ACM
272views Algorithms» more  STOC 2012»
11 years 7 months ago
The cell probe complexity of dynamic range counting
In this paper we develop a new technique for proving lower bounds on the update time and query time of dynamic data structures in the cell probe model. With this technique, we pro...
Kasper Green Larsen
COMPGEOM
2009
ACM
13 years 11 months ago
A general approach for cache-oblivious range reporting and approximate range counting
We present cache-oblivious solutions to two important variants of range searching: range reporting and approximate range counting. Our main contribution is a general approach for ...
Peyman Afshani, Chris H. Hamilton, Norbert Zeh
COMPGEOM
1995
ACM
13 years 8 months ago
Approximate Range Searching
The range searching problem is a fundamental problem in computational geometry, with numerous important applications. Most research has focused on solving this problem exactly, bu...
Sunil Arya, David M. Mount