Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reverse nearest neighbor queries in fixed dimension   Reverse nearest neighbor queries are defined as follows: Given an input
point-set P, and a query point q, find all the points p in P whose nearest
point in P U {q} \ {p} is q. We give a data structure to answer reverse nearest
neighbor queries in fixed-dimensional Euclidean space. Our data structure uses
O(n) space, its preprocessing time is O(n log n), and its query time is O(log
n).

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The categories of this paper are: cond-mat
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The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
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The categories of this paper are: physics
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The categories of this paper are: eess
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The categories of this paper are: math
11
The categories of this paper are: hep-lat
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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an