Variance of leaf depths

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 7 in Tree Balance Indices, 2023, pp 71-79 from Springer

Abstract: Abstract Several of the presented indices are based on the leaf depths of the tree. The Sackin index is the sum of those depths, the average leaf depth – like the name suggests – is their average value, and the variance of leaf depths is their variance. The index considered in this section, namely the variance of leaf depths, is an imbalance index defined for arbitrary (i.e., not necessarily binary) rooted trees.

Date: 2023
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DOI: 10.1007/978-3-031-39800-1_7

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