Data structures and algorithms 3: multi-dimensional searching and computational geometry
Data structures and algorithms 3: multi-dimensional searching and computational geometry
Skip lists: a probabilistic alternative to balanced trees
Communications of the ACM
Skip lists and probabilistic analysis of algorithms
Skip lists and probabilistic analysis of algorithms
An Optimal Worst Case Algorithm for Reporting Intersections of Rectangles
IEEE Transactions on Computers
Computational Geometry: Algorithms and Applications
Computational Geometry: Algorithms and Applications
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We propose RPST, a randomized data structure for the 11/2-dimensional range query problem, based on a version of Skip Lists, as an alternative to solutions that use deterministic height balanced trees. Our scheme exhibits, with high probability, logarithmic, output-sensitive search time, expected logarithmic update time, expected constant reconstruction time and linear space overhead with high probability.