E-resources
PDF-
Buczyńska, Weronika; Buczyński, Jarosław; Kubjas, Kaie; Michałek, Mateusz
Central European journal of mathematics, 09/2013, Volume: 11, Issue: 9Journal Article
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.
