Definition
A dendrogram is a graph representation able to express a hierarchical structure and the correlation among elements of a dataset.
A dendrogram comprises a tree-based diagram used to depict hierarchical relations between objects. The dissimilarity levels between the objects drive the interpretation of this graph, expressed by the heights of links that generate the clusters.
Figure 1 shows an example of a dendrogram composition regarding the set \( \left\{{\mathbf{x}}_1,{\mathbf{x}}_2,\dots, {\mathbf{x}}_6\right\}\subset \mathbf{\mathcal{X}} \), whose elements are vectors or tuples defined on a space \( \mathbf{\mathcal{X}}. \) The dissimilarities between the objects are usually computed through a distance measure defined in \( \mathbf{\mathcal{X}} \) and conveniently chosen according to the application purpose. If \( \mathbf{\mathcal{X}} \) is a vector space, the Euclidean distance is usually used as the dissimilarity measure. Large values imply larger dissimilarities.
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Negri, R.G. (2022). Dendrogram. In: Daya Sagar, B.S., Cheng, Q., McKinley, J., Agterberg, F. (eds) Encyclopedia of Mathematical Geosciences. Encyclopedia of Earth Sciences Series. Springer, Cham. https://doi.org/10.1007/978-3-030-26050-7_83-2
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DOI: https://doi.org/10.1007/978-3-030-26050-7_83-2
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Dendrogram- Published:
- 05 August 2022
DOI: https://doi.org/10.1007/978-3-030-26050-7_83-2
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Dendrogram- Published:
- 09 January 2022
DOI: https://doi.org/10.1007/978-3-030-26050-7_83-1