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Variance of leaf depths

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

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.

Suggested Citation

  • Mareike Fischer & Lina Herbst & Sophie Johanna Kersting & Annemarie Luise Kühn & Kristina Wicke, 2023. "Variance of leaf depths," Springer Books, in: Tree Balance Indices, chapter 0, pages 71-79, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-39800-1_7
    DOI: 10.1007/978-3-031-39800-1_7
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