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Some Applications of Graph Theory to Clustering

Published online by Cambridge University Press:  01 January 2025

Lawrence J. Hubert
Lawrence J. Hubert*
Affiliation:
University of Wisconsin
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Abstract

This paper attempts to review and expand upon the relationship between graph theory and the clustering of a set of objects. Several graphtheoretic criteria are proposed for use within a general clustering paradigm as a means of developing procedures “in between” the extremes of complete-link and single-link hierarchical partitioning; these same ideas are then extended to include the more general problem of constructing subsets of objects with overlap. Finally, a number of related topics are surveyed within the general context of reinterpreting and justifying methods of clustering either through standard concepts in graph theory or their simple extensions.

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Type
Original Paper
Information
Psychometrika , Volume 39 , Issue 3 , September 1974 , pp. 283 - 309
Copyright
Copyright © 1974 The Psychometric Society

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