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MICS
2010
137views more  MICS 2010»
13 years 9 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
14 years 6 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
SODA
2010
ACM
409views Algorithms» more  SODA 2010»
14 years 8 months ago
Data Structures for Range Minimum Queries in Multidimensional Arrays
Given a d-dimensional array A with N entries, the Range Minimum Query (RMQ) asks for the minimum element within a contiguous subarray of A. The 1D RMQ problem has been studied int...
Hao Yuan, Mikhail J. Atallah
ICALP
2009
Springer
14 years 11 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