Relevant phylogenetic invariants of evolutionary models
From MaRDI portal
Publication:719608
DOI10.1016/j.matpur.2010.11.002zbMath1230.14063arXiv0912.1957OpenAlexW2130778056WikidataQ61068401 ScholiaQ61068401MaRDI QIDQ719608
Marta Casanellas, Jesús Fernández-Sánchez
Publication date: 10 October 2011
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0912.1957
Problems related to evolution (92D15) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Surfaces and higher-dimensional varieties (14J99) Graph algorithms (graph-theoretic aspects) (05C85) Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) (13P25)
Related Items
Local equations for equivariant evolutionary models, Matrix group structure and Markov invariants in the strand symmetric phylogenetic substitution model, Embeddability of Kimura 3ST Markov matrices, Gorenstein property for phylogenetic trivalent trees, Developing a statistically powerful measure for quartet tree inference using phylogenetic identities and Markov invariants, H-Representation of the Kimura-3 Polytope for the $m$-Claw Tree, Generating Markov evolutionary matrices for a given branch length, Parsimony and the rank of a flattening matrix, Evaluation of the relative performance of the subflattenings method for phylogenetic inference, Uniformization Stable Markov Models and Their Jordan Algebraic Structure, Phylogenetic complexity of the Kimura 3-parameter model, Bounded-rank tensors are defined in bounded degree, Phylogenetic mixtures and linear invariants for equal input models, Lie Markov models with purine/pyrimidine symmetry, When is a polynomial ideal binomial after an ambient automorphism?, Dimensional reduction for the general Markov model on phylogenetic trees, Lie Markov models, Conditional independence ideals with hidden variables, Finiteness results for abelian tree models, Low degree equations for phylogenetic group-based models
Cites Work
- Unnamed Item
- Unnamed Item
- Geometry of the Kimura 3-parameter model
- On the ideals of equivariant tree models
- Invariants of phylogenies in a simple case with discrete states
- Spectral analysis and a closest tree method for genetic sequences
- Recovering a tree from the leaf colourations it generates under a Markov model
- Phylogenetic invariants for the general Markov model of sequence mutation
- Phylogenetic ideals and varieties for the general Markov model
- Identifying evolutionary trees and substitution parameters for the general Markov model with invariable sites
- Asynchronous Distance between Homologous DNA Sequences
- Catalog of Small Trees
- The Strand Symmetric Model
- Tree Construction using Singular Value Decomposition
- Toric Ideals of Phylogenetic Invariants
- Estimation of evolutionary distances between homologous nucleotide sequences.
- Algebraic Statistics for Computational Biology
