Hector Baños, Nathaniel Bushek, Ruth Davidson, Elizabeth Gross, Pamela E. Harris, Robert Krone, Colby Long, Allen Stewart, Robert Walker
tlooto Summary
The package PhylogeneticTrees for Macaulay2 is introduced which allows users to compute phylogenetic invariants for group-based tree models and it is shown how methods within the package can be used to compute a generating set for the join of any two ideals.
Abstract
We introduce the package PhylogeneticTrees for Macaulay2 which allows users to compute phylogenetic invariants for group-based tree models. We provide some background information on phylogenetic algebraic geometry and show how the package PhylogeneticTrees can be used to calculate a generating set for a phylogenetic ideal as well as a lower bound for its dimension. Finally, we show how methods within the package can be used to compute a generating set for the join of any two ideals.
Citation format
BAÑOS, Hector, et al. Phylogenetic trees [preprint]. arXiv, 2016. arXiv:1611.05805.