Finite phylogenetic complexity of Zp and invariants for Z3

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2017
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European Journal of Combinatorics. Elsevier. 2017, 59, pp. 169-186. ISSN 0195-6698. eISSN 1095-9971. Available under: doi: 10.1016/j.ejc.2016.08.007
Zusammenfassung

We study phylogenetic complexity of finite abelian groups - an invariant introduced by Sturmfels and Sullivant. The invariant is hard to compute - so far it was only known for Z2, in which case it equals 2. We prove that phylogenetic complexity of any group Zp, where p is prime, is finite. We also show, as conjectured by Sturmfels and Sullivant, that the phylogenetic complexity of Z3 equals 3.

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510 Mathematik
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ISO 690MICHALEK, Mateusz, 2017. Finite phylogenetic complexity of Zp and invariants for Z3. In: European Journal of Combinatorics. Elsevier. 2017, 59, pp. 169-186. ISSN 0195-6698. eISSN 1095-9971. Available under: doi: 10.1016/j.ejc.2016.08.007
BibTex
@article{Michalek2017Finit-52581,
  year={2017},
  doi={10.1016/j.ejc.2016.08.007},
  title={Finite phylogenetic complexity of Z<sub>p</sub> and invariants for Z<sub>3</sub>},
  volume={59},
  issn={0195-6698},
  journal={European Journal of Combinatorics},
  pages={169--186},
  author={Michalek, Mateusz}
}
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