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Note on ultrametric hierarchical clustering algorithms

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Abstract

Milligan presented the conditions that are required for a hierarchical clustering strategy to be monotonic, based on a formula by Lance and Williams. In the present paper, the statement of the conditions is improved and shown to provide necessary and sufficient conditions.

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References

  • Lance, G. N. & Williams, W. T. A general theory of classificatory sorting strategies, 1. Hierarchical systems.The Computer Journal, 1967,9, 373–380.

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  • Milligan, G. W. Ultrametric hierarchical clustering algorithms.Psychometrika, 1979,44, 343–346.

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Authors and Affiliations

  1. Department of Mathematics, University Edvard Kardelj, Jadranska 19, 61 000, Ljubljana, Yugoslavia

    Vladimir Batagelj

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  1. Vladimir Batagelj
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This work was supported in part by the Boris Kidrič Fund, Yugoslavia.

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Batagelj, V. Note on ultrametric hierarchical clustering algorithms. Psychometrika 46, 351–352 (1981). https://doi.org/10.1007/BF02293743

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  • DOI: https://doi.org/10.1007/BF02293743

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