Dynamic range reporting in external memory

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Abstract

In this paper we describe a dynamic external memory data structure that supports range reporting queries in three dimensions in O(logB2 N + k/B) I/O operations, where k is the number of points in the answer and B is the block size. Our data structure uses O(N/B log 22 N log22 B) blocks of space and supports updates in amortized I/Os. This is the first dynamic data structure that answers three-dimensional range reporting queries in logBO(1) N + O(k/B) I/Os. © 2010 Springer-Verlag.

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Nekrich, Y. (2010). Dynamic range reporting in external memory. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 6507 LNCS, pp. 25–36). https://doi.org/10.1007/978-3-642-17514-5_3

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