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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
LATIN
2010
Springer
13 years 12 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 2 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 5 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