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arXiv · 1105.5382

On the graph labellings arising from phylogenetics

Weronika Buczyńska·Jarosław Buczyński·Kaie Kubjas·Mateusz Michałek
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Abstract

We study semigroups of labellings associated to a graph. These generalize the Jukes-Cantor model and phylogenetic toric varieties defined by Buczyńska. 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.

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Weronika Buczyńska, Jarosław Buczyński, Kaie Kubjas, Mateusz Michałek. 2012-10-09. On the graph labellings arising from phylogenetics. https://doi.org/10.2478/s11533-013-0263-3

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