Finite phylogenetic complexity of \(\mathbb{Z}_p\) and invariants for \(\mathbb{Z}_3\)
From MaRDI portal
Publication:326663
DOI10.1016/j.ejc.2016.08.007zbMath1375.13049arXiv1508.04177OpenAlexW2202660374MaRDI QIDQ326663
Publication date: 12 October 2016
Published in: European Journal of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1508.04177
Problems related to evolution (92D15) Markov processes: estimation; hidden Markov models (62M05) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Effectivity, complexity and computational aspects of algebraic geometry (14Q20) Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) (13P25)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Phylogenetic invariants for \(\mathbb{Z}_3\) scheme-theoretically
- On the graph labellings arising from phylogenetics
- A generalization of combinatorial Nullstellensatz
- Geometry of phylogenetic group-based models
- Sagbi bases of Cox-Nagata rings
- On the ideals of equivariant tree models
- Coordinate rings for the moduli stack of \(\mathrm{SL}(\mathbb C)\) quasi-parabolic principal bundles on a curve and toric fiber products
- Finiteness results for abelian tree models
- Low degree equations for phylogenetic group-based models
- Constructive degree bounds for group-based models
- The algebra of \(\mathrm{SL}_3(\mathbb{C})\) conformal blocks
- Bounded-rank tensors are defined in bounded degree
- On the toric ideal of a matroid
- Toric fiber products
- On geometry of binary symmetric models of phylogenetic trees
- Phylogenetic invariants for group-based models
- Hilbert Polynomial of the Kimura 3-Parameter Model
- A short proof of Combinatorial Nullstellensatz
- Introduction to Toric Varieties. (AM-131)
- Toric varieties in phylogenetics
- Combinatorial Nullstellensatz
- Toric Ideals of Phylogenetic Invariants
- H-Representation of the Kimura-3 Polytope for the $m$-Claw Tree
- Toric geometry of the 3-Kimura model for any tree
- Toric Ideals of Phylogenetic Invariants for the General Group-Based Model on Claw Trees K 1,n
- The quest for counterexamples in toric geometry
- Algebraic Statistics for Computational Biology
