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» Optimal Succinctness for Range Minimum Queries
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LATIN
2010
Springer
13 years 11 months ago
Optimal Succinctness for Range Minimum Queries
For a static array A of n totally ordered objects, a range minimum query asks for the position of the minimum between two specified array indices. We show how to preprocess A into...
Johannes Fischer
MICS
2010
137views more  MICS 2010»
13 years 3 months ago
Finding Range Minima in the Middle: Approximations and Applications
Abstract. A Range Minimum Query asks for the position of a minimal element between two specified array-indices. We consider a natural extension of this, where our further constrai...
Johannes Fischer, Volker Heun
DCC
2008
IEEE
14 years 4 months ago
Practical Entropy-Bounded Schemes for O(1)-Range Minimum Queries
The Range Minimum Query (RMQ) Problem is to preprocess an array A of length n in O(n) time such that subsequent on-line queries asking for the position of a minimal element between...
Johannes Fischer, Volker Heun, Horst Martin St&uum...
CORR
2010
Springer
120views Education» more  CORR 2010»
12 years 11 months ago
LRM-Trees: Compressed Indices, Adaptive Sorting, and Compressed Permutations
LRM-Trees are an elegant way to partition a sequence of values into sorted consecutive blocks, and to express the relative position of the first element of each block within a prev...
Jérémy Barbay, Johannes Fischer
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...