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Extremal values of the Sackin tree balance index

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Publication:2033483
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DOI10.1007/s00026-021-00539-2zbMath1466.92124arXiv1801.10418OpenAlexW3169477248MaRDI QIDQ2033483

Mareike Fischer

Publication date: 17 June 2021

Published in: Annals of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.10418

zbMATH Keywords

Sackin indexrooted binary treetree balance


Mathematics Subject Classification ID

General biostatistics (92B15) Problems related to evolution (92D15)


Related Items

SackinMinimizer, Measuring tree balance using symmetry nodes -- a new balance index and its extremal properties


Uses Software

  • Mathematica
  • OEIS


Cites Work

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  • Unnamed Item
  • Unnamed Item
  • A new balance index for phylogenetic trees
  • A Mathematical Theory of Communication
  • Mean deep coalescence cost under exchangeable probability distributions
  • Maximal path length of binary trees
  • On the minimum value of the Colless index and the bifurcating trees that achieve it
  • On statistical tests of phylogenetic tree imbalance: The Sackin and other indices revisited
  • Phylogeny
  • On the path length of binary trees
  • The on-line encyclopedia of integer sequences
  • Upper Bounds for the Total Path Length of Binary Trees
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