Total cophenetic index

Mareike Fischer, Lina Herbst, Sophie Johanna Kersting, Annemarie Luise Kühn and Kristina Wicke
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Mareike Fischer: University of Greifswald, Institute of Mathematics and Computer Science
Lina Herbst: Department of English and American Studies Friedrich Schiller University Jena
Sophie Johanna Kersting: University of Greifswald, Institute of Mathematics and Computer Science
Annemarie Luise Kühn: University of Greifswald, Institute of Mathematics and Computer Science
Kristina Wicke: New Jersey Institute of Technology, Department of Mathematical Sciences

Chapter Chapter 8 in Tree Balance Indices, 2023, pp 81-87 from Springer

Abstract: Abstract The intuition behind the total cophenetic index is as follows: If the ancestral nodes of all pairs of leaves all have small depths, this implies that not many inner vertices separate them from the root. Therefore, in such a setting, all vertices are relatively close to the root (including the leaves), which makes the tree very balanced from an intuitive point of view, e.g., when thinking of a classic scale (cf. Chapter 1).

Date: 2023
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DOI: 10.1007/978-3-031-39800-1_8

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