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M. Dickerson and R. L. Drysdale, "Enumerating k distances for n points in the plane", Proc. 7th Annual ACM Symposium on Computational Geometry, June 1991, 159--168.

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Dynamic Algorithms in Computational Geometry - Chiang, Tamassia (1992)   (54 citations)  (Correct)

....techniques for maintaining the minimal L r distance of a point set in d dimensional space. The data structure of [153] uses O(n) space and supports updates in O(n 2=3 log n) time, by giving a method to compute the O(n 2=3 ) smallest distances defined by a set of n points in O(n log n) time. By [49,141], which show how to compute the n smallest distances in O(n log n) time, the update time is improved to O(n 1=2 log n) for arbitrary dimension. In [156] the update time is reduced to O(log d n log log n) amortized, while the space is slightly increased to (n log d n) We briefly describe ....

M.T. Dickerson and R.S. Drysdale, "Enumerating k distances for n points in the plane," Proc. ACM Symp. on Computational Geometry (1991), 234--238.


Algorithms for Proximity Problems in Higher Dimensions - Dickerson, Eppstein (1996)   (10 citations)  Self-citation (Dickerson)   (Correct)

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M. Dickerson and R. L. Drysdale, "Enumerating k distances for n points in the plane", Proc. 7th Annual ACM Symposium on Computational Geometry, June 1991, 159--168.

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