On the graph labellings arising from phylogenetics

Author:

Buczyńska Weronika,Buczyński Jarosław,Kubjas Kaie,Michałek Mateusz

Abstract

AbstractWe 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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Reference18 articles.

1. Bosma W., Cannon J., Playoust C., The Magma algebra system. I. The user language, In: Computational Algebra and Number Theory, London, August 23–27, 1993, J. Symbolic Comput., 1997, 24(3–4), 235–265

2. Brown G., Buczyński J., Kasprzyk A., Chapter: Convex polytopes and polyhedra, The Magma Handbook, University of Sydney, available at http://magma.maths.usyd.edu.au/

3. Buczyńska W., Phylogenetic toric varieties on graphs, J. Algebraic Combin., 2012, 35(3), 421–460

4. Buczyńska W., Wiśniewski J.A., On geometry of binary symmetric models of phylogenetic trees, J. Eur. Math. Soc. (JEMS), 2007, 9(3), 609–635

5. Donten-Bury M., Michałek M., Phylogenetic invariants for group-based models, J. Algebr. Stat., 2012, 3(1), 44–63

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