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Fully dynamic metric access methods based on hyperplane partitioning

delete2011-06-01
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G
Gonzalo Navarro *
R
Roberto Uribe-Paredes
DOI:10.1016/j.is.2011.01.002delete
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摘要

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En 中文
Metric access methods based on hyperplane partitioning have the advantage, compared to the ball partitioning-based ones, that regions do not overlap. The price is less flexibility for controlling the tree shape, especially in the dynamic scenario, that is, upon insertions and deletions of objects. In this paper we introduce a technique called ghost hyperplanes, which enables fully dynamic data structures based on hyperplane partitioning. We apply the technique to Brin's GNAT static index, obtaining a dynamic variant called EGNAT, which in addition we adapt to secondary memory. We show experimentally that the EGNAT is competitive with the M-tree, the baseline for this scenario. We also apply the ghost hyperplane technique to Voronoi trees, obtaining a competitive dynamic structure for main memory. (C) 2011 Elsevier B.V. All rights reserved.
Keyword:
Metric spaces
Secondary memory
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universidad de chile
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