Abstract
It is shown that the complete linkage clustering of a set of n points in ℝd where d ≥ 1 is a constant, can be computed in optimal O(n log n) time and linear space, under the L 1 and L∞-metric. Furthermore, it is shown that, for every other fixed L t -metric, it can be approximated within an arbitrarily small constant factor in O(n log n) time using linear space.
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Krznaric, D., Levcopoulos, C. (1997). Optimal algorithms for complete linkage clustering in d dimensions. In: Prívara, I., Ružička, P. (eds) Mathematical Foundations of Computer Science 1997. MFCS 1997. Lecture Notes in Computer Science, vol 1295. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0029980
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DOI: https://doi.org/10.1007/BFb0029980
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