On the minimum value of the Colless index and the bifurcating trees that achieve it

@article{Coronado2020OnTM,
  title={On the minimum value of the Colless index and the bifurcating trees that achieve it},
  author={Tom{\'a}s M. Coronado and Mareike Fischer and Lina Herbst and Francesc Rossell{\'o} and Kristina Wicke},
  journal={Journal of Mathematical Biology},
  year={2020},
  volume={80},
  pages={1993-2054}
}
  • Tomás M. Coronado, Mareike Fischer, +2 authors Kristina Wicke
  • Published 2020
  • Medicine, Mathematics, Biology, Computer Science
  • Journal of Mathematical Biology
  • Measures of tree balance play an important role in the analysis of phylogenetic trees. One of the oldest and most popular indices in this regard is the Colless index for rooted bifurcating trees, introduced by Colless (Syst Zool 31:100–104, 1982). While many of its statistical properties under different probabilistic models for phylogenetic trees have already been established, little is known about its minimum value and the trees that achieve it. In this manuscript, we fill this gap in the… CONTINUE READING

    Citations

    Publications citing this paper.
    SHOWING 1-2 OF 2 CITATIONS

    Squaring within the Colless index yields a better balance index

    VIEW 2 EXCERPTS
    CITES BACKGROUND

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 62 REFERENCES

    A new balance index for phylogenetic trees

    VIEW 3 EXCERPTS

    Sound Colless-like balance indices for multifurcating trees

    VIEW 1 EXCERPT

    A balance index for phylogenetic trees based on rooted quartets

    VIEW 1 EXCERPT

    DOES IMBALANCE IN PHYLOGENIES REFLECT ONLY BIAS?

    • E. Stam
    • Biology, Medicine
    • Evolution; international journal of organic evolution
    • 2002
    VIEW 2 EXCERPTS