Publikation: On the graph labellings arising from phylogenetics
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2013
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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.
Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
510 Mathematik
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Graph labellings; Phylogenetic semigroup; Semigroup generators; Lattice cone; Hilbert basis; Conformal block algebras; Cavender-Farris-Neyman model; 2-state Jukes-Cantor model
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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/s11533-013-0263-3BibTex
@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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