A brief sketch on the relevance and history of 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 3 in Tree Balance Indices, 2023, pp 27-31 from Springer

Abstract: Abstract As indicated in Chapter 1, measures of tree balance occur in a variety of contexts, ranging from evolutionary biology, to cancer research, to theoretical computer science. In the latter, balance concepts have played a significant role in the research on optimal search trees [1, 86, 108], i.e., treelike data structures that allow for an efficient data retrieval. In this context, various trees as for instance AVL trees [2], red-black trees [61], 𝐵 trees [11, 12], and weight balanced trees [108], have been proposed and studied over the past six decades.

Date: 2023
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DOI: 10.1007/978-3-031-39800-1_3

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