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Note on Ultrametric Hierarchical Clustering Algorithms

Published online by Cambridge University Press:  01 January 2025

Vladimir Batagelj
Vladimir Batagelj*
Affiliation:
University Edvard Kardelj Ljubljana, Yugoslavia
*
Requests for reprints should he sent to Vladimir Batagelj, University Edvard Kardelj, Department of Mathematics, Jadranska 19, 61 000 Ljubljana, Yugoslavia.
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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.

Keywords

monotonic hierarchical clustering strategies
Type
Notes And Comments
Information
Psychometrika , Volume 46 , Issue 3 , September 1981 , pp. 351 - 352
Copyright
Copyright © 1981 The Psychometric Society

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Footnotes

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

References

Lance, G. N. & Williams, W. T. A general theory of classificatory sorting strategies, 1. Hierarchical systems. The Computer Journal, 1967, 9, 373–380.CrossRefGoogle Scholar
Milligan, G. W. Ultrametric hierarchical clustering algorithms. Psychometrika, 1979, 44, 343–346.CrossRefGoogle Scholar