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Biased Range Trees (0806.2707v1)
Published 17 Jun 2008 in cs.CG and cs.DS
Abstract: A data structure, called a biased range tree, is presented that preprocesses a set S of n points in R2 and a query distribution D for 2-sided orthogonal range counting queries. The expected query time for this data structure, when queries are drawn according to D, matches, to within a constant factor, that of the optimal decision tree for S and D. The memory and preprocessing requirements of the data structure are O(n log n).
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