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» New Data Structures for Orthogonal Range Searching
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ISAAC
2009
Springer
132views Algorithms» more  ISAAC 2009»
14 years 16 days ago
Untangled Monotonic Chains and Adaptive Range Search
Abstract. We present the first adaptive data structure for two-dimensional orthogonal range search. Our data structure is adaptive in the sense that it gives improved search perfo...
Diego Arroyuelo, Francisco Claude, Reza Dorrigiv, ...
SODA
2010
ACM
202views Algorithms» more  SODA 2010»
14 years 3 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
2009
ACM
14 years 15 days 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
CORR
2011
Springer
171views Education» more  CORR 2011»
12 years 9 months ago
Orthogonal Range Searching on the RAM, Revisited
We present a number of new results on one of the most extensively studied topics in computational geometry, orthogonal range searching. All our results are in the standard word RA...
Timothy M. Chan, Kasper Green Larsen, Mihai Patras...
STOC
2012
ACM
272views Algorithms» more  STOC 2012»
11 years 8 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