Abstract
We present a new data structure, the Leafary tree, for designing an efficient randomized algorithm for the Closest Pair Problem. Using this data structure, we show that the Closest Pair of n points in D-dimensional space, where, D≥2, is a fixed constant, can be found in O(n log n/log log n) expected time. The algorithm does not employ hashing.
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© 1995 Springer-Verlag Berlin Heidelberg
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Kamakoti, V., Krithivasan, K., Rangan, C.P. (1995). Efficient randomized incremental algorithm for the closest pair problem using Leafary trees. In: Du, DZ., Li, M. (eds) Computing and Combinatorics. COCOON 1995. Lecture Notes in Computer Science, vol 959. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0030821
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DOI: https://doi.org/10.1007/BFb0030821
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