On the graph labellings arising from phylogenetics

Buczyńska, Weronika; Buczyński, Jarosław; Kubjas, Kaie; Michalek, Mateusz

On the graph labellings arising from phylogenetics

Dateien

Michalek_2-k459nwtvqkp05.pdfGröße: 1.15 MBDownloads: 93

Datum

2013

Autor:innen

Buczyńska, Weronika

Buczyński, Jarosław

Kubjas, Kaie

Michalek, Mateusz

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

Open Mathematics. De Gruyter. 2013, 11(9), pp. 1577-1592. eISSN 2391-5455. Available under: doi: 10.2478/s11533-013-0263-3

Zusammenfassung

We study semigroups of labellings associated to a graph. These generalise the Jukes-Cantor model and phylogenetic toric varieties defined in [Buczynska W., Phylogenetic toric varieties on graphs, J. Algebraic Combin., 2012, 35(3), 421–460]. Our main theorem bounds the degree of the generators of the semigroup by g + 1 when the graph has first Betti number g. Also, we provide a series of examples where the bound is sharp.

Fachgebiet (DDC)

510 Mathematik

Schlagwörter

Graph labellings; Phylogenetic semigroup; Semigroup generators; Lattice cone; Hilbert basis; Conformal block algebras; Cavender-Farris-Neyman model; 2-state Jukes-Cantor model

Zitieren

ISO 690

BUCZYŃSKA, Weronika, Jarosław BUCZYŃSKI, Kaie KUBJAS, Mateusz MICHALEK, 2013. On the graph labellings arising from phylogenetics. In: Open Mathematics. De Gruyter. 2013, 11(9), pp. 1577-1592. eISSN 2391-5455. Available under: doi: 10.2478/s11533-013-0263-3

BibTex

@article{Buczynska2013graph-53393,
  year={2013},
  doi={10.2478/s11533-013-0263-3},
  title={On the graph labellings arising from phylogenetics},
  number={9},
  volume={11},
  journal={Open Mathematics},
  pages={1577--1592},
  author={Buczyńska, Weronika and Buczyński, Jarosław and Kubjas, Kaie and Michalek, Mateusz}
}

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