Discussion and outlook

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 28 in Tree Balance Indices, 2023, pp 369-374 from Springer

Abstract: Abstract In this chapter, we summarize and discuss the results presented in our book. In particular, while the main aim of our book was to give a comprehensive survey of the variety of tree balance indices available in the literature, we have also explored the history of tree balance as well as various fields of applications. We showed that some tree shape statistics thatwere introduced as tree balance indices in the literature, such as the cherry index, do not fulfill the basic requirements to be regarded as such, while other tree shape statistics so far not used as measures of tree balance indeed do (e.g., the maximum width). Moreover, we also demonstrated how existing balance indices can be used to generate new ones.

Date: 2023
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DOI: 10.1007/978-3-031-39800-1_28

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