Vol. 11, No. 1, 2017

Download this article
Download this article For screen
For printing
Recent Issues

Volume 12
Issue 3, 493–750
Issue 2, 227–492
Issue 1, 1–225

Volume 11, 10 issues

Volume 10, 10 issues

Volume 9, 10 issues

Volume 8, 10 issues

Volume 7, 10 issues

Volume 6, 8 issues

Volume 5, 8 issues

Volume 4, 8 issues

Volume 3, 8 issues

Volume 2, 8 issues

Volume 1, 4 issues

The Journal
About the Journal
Editorial Board
Editors' Addresses
Editors' Interests
Scientific Advantages
Submission Guidelines
Submission Form
Editorial Login
Author Index
To Appear
ISSN: 1944-7833 (e-only)
ISSN: 1937-0652 (print)
Finite phylogenetic complexity and combinatorics of tables

Mateusz Michałek and Emanuele Ventura

Vol. 11 (2017), No. 1, 235–252

In algebraic statistics, Jukes–Cantor and Kimura models are of great importance. Sturmfels and Sullivant generalized these models by associating to any finite abelian group G a family of toric varieties X(G,K1,n). We investigate the generators of their ideals. We show that for any finite abelian group G there exists a constant ϕ, depending only on G, such that the ideals of X(G,K1,n) are generated in degree at most ϕ.

Phylogenetics, Toric varieties, Convex polytopes, Applied Algebraic Geometry
Mathematical Subject Classification 2010
Primary: 52B20
Secondary: 14M25, 13P25
Received: 23 June 2016
Revised: 1 October 2016
Accepted: 12 November 2016
Published: 23 January 2017
Mateusz Michałek
Polish Academy of Sciences
Emanuele Ventura
Department of Mathematics and Systems Analysis
Aalto University
FI-00076 Espoo