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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...
CCCG
2010
13 years 6 months ago
Towards a dynamic data structure for efficient bounded line range search
We present a data structure for efficient axis-aligned orthogonal range search on a set of n lines in a bounded plane. The algorithm requires O(log n + k) time in the worst case t...
Thuy Le, Bradford G. Nickerson
ISAAC
2009
Springer
132views Algorithms» more  ISAAC 2009»
13 years 11 months 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, ...
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
SODA
2008
ACM
86views Algorithms» more  SODA 2008»
13 years 6 months ago
Space-efficient dynamic orthogonal point location, segment intersection, and range reporting
We describe an asymptotically optimal data-structure for dynamic point location for horizontal segments. For n line-segments, queries take O(log n) time, updates take O(log n) amo...
Guy E. Blelloch