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COMPGEOM
2009
ACM
14 years 8 days ago
Cache-oblivious range reporting with optimal queries requires superlinear space
We consider a number of range reporting problems in two and three dimensions and prove lower bounds on the amount of space used by any cache-oblivious data structure for these pro...
Peyman Afshani, Chris H. Hamilton, Norbert Zeh
CORR
2010
Springer
151views Education» more  CORR 2010»
13 years 4 months ago
Dynamic Range Reporting in External Memory
In this paper we describe a dynamic external memory data structure that supports range reporting queries in three dimensions in O(log2 B N + k B ) I/O operations, where k is the nu...
Yakov Nekrich
CCCG
2008
13 years 7 months ago
Data Structures for Restricted Triangular Range Searching
We present data structures for triangular emptiness and reporting queries for a planar point set, where the query triangle contains the origin. The data structures use near-linear...
Mashhood Ishaque, Diane L. Souvaine, Nadia Benbern...
ISAAC
2009
Springer
132views Algorithms» more  ISAAC 2009»
14 years 9 days ago
Online Sorted Range Reporting
Abstract. We study the following one-dimensional range reporting problem: On an array A of n elements, support queries that given two indices i ≤ j and an integer k report the k ...
Gerth Stølting Brodal, Rolf Fagerberg, Mark...
ICALP
1992
Springer
13 years 9 months ago
Lower Bounds on the Complexity of Simplex Range Reporting on a Pointer Machine
Abstract Bernard Chazelle Department of Computer Science Princeton University Burton Rosenberg Department of Mathematics and Computer Science Dartmouth College We give a lower bou...
Bernard Chazelle, Burton Rosenberg