Extension of tree balance and imbalance indices and alternative ways of measuring tree balance

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 25 in Tree Balance Indices, 2023, pp 341-344 from Springer

Abstract: Abstract The aim of this chapter is threefold: First, we show how existing tree balance or imbalance indices can be used to generate new ones. Then, we discuss the normalization of all these indices in order to enable the comparison of trees with different numbers of leaves. Last, we compare tree balance indices to other ways of measuring tree balance that have been proposed in the literature, such as, for instance, scatter plots.

Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-39800-1_25

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DOI: 10.1007/978-3-031-39800-1_25

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