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A brief sketch on the relevance and history of tree balance

In: Tree Balance Indices

Author

Listed:
  • Mareike Fischer

    (University of Greifswald, Institute of Mathematics and Computer Science)

  • Lina Herbst

    (Department of English and American Studies Friedrich Schiller University Jena
    Max Planck Institute of Geoanthropology (formerly MPI for the Science of Human History) Transmission, Infection, Diversification and Evolution Group)

  • Sophie Johanna Kersting

    (University of Greifswald, Institute of Mathematics and Computer Science)

  • Annemarie Luise Kühn

    (University of Greifswald, Institute of Mathematics and Computer Science
    University Medicine Greifswald, Department of Psychiatry and Psychotherapy)

  • Kristina Wicke

    (New Jersey Institute of Technology, Department of Mathematical Sciences)

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.

Suggested Citation

  • Mareike Fischer & Lina Herbst & Sophie Johanna Kersting & Annemarie Luise Kühn & Kristina Wicke, 2023. "A brief sketch on the relevance and history of tree balance," Springer Books, in: Tree Balance Indices, chapter 0, pages 27-31, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-39800-1_3
    DOI: 10.1007/978-3-031-39800-1_3
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