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» On Cartesian Trees and Range Minimum Queries
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83
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ICALP
2009
Springer
15 years 10 months ago
On Cartesian Trees and Range Minimum Queries
We present new results on Cartesian trees with applications in range minimum queries and bottleneck edge queries. We introduce a cache-oblivious Cartesian tree for solving the ran...
Erik D. Demaine, Gad M. Landau, Oren Weimann
87
Voted
MICS
2010
137views more  MICS 2010»
14 years 8 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
LATIN
2010
Springer
15 years 5 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
IPPS
1997
IEEE
15 years 2 months ago
d-Dimensional Range Search on Multicomputers
The range tree is a fundamental data structure for multidimensional point sets, and as such, is central in a wide range of geometric anddatabaseapplications. Inthis paper, we desc...
Afonso Ferreira, Claire Kenyon, Andrew Rau-Chaplin...
75
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ISAAC
2004
Springer
88views Algorithms» more  ISAAC 2004»
15 years 3 months ago
On the Range Maximum-Sum Segment Query Problem
The range minimum query problem, RMQ for short, is to preprocess a sequence of real numbers A[1 . . . n] for subsequent queries of the form: “Given indices i, j, what is the ind...
Kuan-Yu Chen, Kun-Mao Chao