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Adjustments of tree metrics based on minimum spanning trees

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New Approaches in Classification and Data Analysis
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Summary

We point out that a tree dissimilarity t is entirely defined by its restriction to a set B of 2n - 3 entries, easily determined from the table of t and including the n - 1 entries of a minimum spanning tree (MST). A method for the adjustment of a tree dissimilarity to any given dissimilarity d is derived from this result. This fitting method preserves an MST of d and leads to a fast algorithm. The proofs of the results given here and more information may be found in Leclerc (1993).

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© 1994 Springer-Verlag Berlin Heidelberg

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Leclerc, B. (1994). Adjustments of tree metrics based on minimum spanning trees. In: Diday, E., Lechevallier, Y., Schader, M., Bertrand, P., Burtschy, B. (eds) New Approaches in Classification and Data Analysis. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-51175-2_13

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  • DOI: https://doi.org/10.1007/978-3-642-51175-2_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-58425-4

  • Online ISBN: 978-3-642-51175-2

  • eBook Packages: Springer Book Archive

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