Filtering search: a new approach to query answering
SIAM Journal on Computing
Functional approach to data structures and its use in multidimensional searching
SIAM Journal on Computing
The input/output complexity of sorting and related problems
Communications of the ACM
Lower bounds for orthogonal range searching: I. The reporting case
Journal of the ACM (JACM)
On two-dimensional indexability and optimal range search indexing
PODS '99 Proceedings of the eighteenth ACM SIGMOD-SIGACT-SIGART symposium on Principles of database systems
Tight(er) worst-case bounds on dynamic searching and priority queues
STOC '00 Proceedings of the thirty-second annual ACM symposium on Theory of computing
ACM Computing Surveys (CSUR)
Multidimensional binary search trees used for associative searching
Communications of the ACM
External memory algorithms and data structures: dealing with massive data
ACM Computing Surveys (CSUR)
Cache-oblivious priority queue and graph algorithm applications
STOC '02 Proceedings of the thiry-fourth annual ACM symposium on Theory of computing
A locality-preserving cache-oblivious dynamic dictionary
SODA '02 Proceedings of the thirteenth annual ACM-SIAM symposium on Discrete algorithms
Cache oblivious search trees via binary trees of small height
SODA '02 Proceedings of the thirteenth annual ACM-SIAM symposium on Discrete algorithms
The K-D-B-tree: a search structure for large multidimensional dynamic indexes
SIGMOD '81 Proceedings of the 1981 ACM SIGMOD international conference on Management of data
Exponential Structures for Efficient Cache-Oblivious Algorithms
ICALP '02 Proceedings of the 29th International Colloquium on Automata, Languages and Programming
Cache Oblivious Distribution Sweeping
ICALP '02 Proceedings of the 29th International Colloquium on Automata, Languages and Programming
Scanning and Traversing: Maintaining Data for Traversals in a Memory Hierarchy
ESA '02 Proceedings of the 10th Annual European Symposium on Algorithms
External memory data structures
Handbook of massive data sets
FOCS '99 Proceedings of the 40th Annual Symposium on Foundations of Computer Science
FOCS '00 Proceedings of the 41st Annual Symposium on Foundations of Computer Science
On the limits of cache-obliviousness
Proceedings of the thirty-fifth annual ACM symposium on Theory of computing
Proximity Mergesort: optimal in-place sorting in the cache-oblivious model
SODA '04 Proceedings of the fifteenth annual ACM-SIAM symposium on Discrete algorithms
A locality-preserving cache-oblivious dynamic dictionary
Journal of Algorithms
Cache-oblivious planar orthogonal range searching and counting
SCG '05 Proceedings of the twenty-first annual symposium on Computational geometry
SCG '05 Proceedings of the twenty-first annual symposium on Computational geometry
Space efficient dynamic orthogonal range reporting
SCG '05 Proceedings of the twenty-first annual symposium on Computational geometry
Simple and semi-dynamic structures for cache-oblivious planar orthogonal range searching
Proceedings of the twenty-second annual symposium on Computational geometry
Engineering a cache-oblivious sorting algorithm
Journal of Experimental Algorithmics (JEA)
Cache-oblivious range reporting with optimal queries requires superlinear space
Proceedings of the twenty-fifth annual symposium on Computational geometry
A general approach for cache-oblivious range reporting and approximate range counting
Proceedings of the twenty-fifth annual symposium on Computational geometry
On Cartesian Trees and Range Minimum Queries
ICALP '09 Proceedings of the 36th International Colloquium on Automata, Languages and Programming: Part I
A general approach for cache-oblivious range reporting and approximate range counting
Computational Geometry: Theory and Applications
Algorithm engineering: bridging the gap between algorithm theory and practice
Algorithm engineering: bridging the gap between algorithm theory and practice
I/O-efficient data structures for colored range and prefix reporting
Proceedings of the twenty-third annual ACM-SIAM symposium on Discrete Algorithms
Improved space bounds for cache-oblivious range reporting
Proceedings of the twenty-second annual ACM-SIAM symposium on Discrete Algorithms
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We develop cache-oblivious data structures for orthogonal range searching, the problem of finding all T points in a set of N points in IRd lying in a query hyper-rectangle. Cache-oblivious data structures are designed to be efficient in arbitrary memory hierarchies.We describe a dynamic linear-size data structure that answers d-dimensional queries in O((N/B)1-1/d+T/B) memory transfers, where B is the block size of any two levels of a multilevel memory hierarchy. A point can be inserted into or deleted from this data structure in O(log2B N) memory transfers. We also develop a static structure for the two-dimensional case that answers queries in O(logB N+T/B) memory transfers using O(N log22 N) space. The analysis of the latter structure requires that B=22c for some non-negative integer constant c.