ArticleBulletin of mathematical biology2024
Dimensions of Level-1 Group-Based Phylogenetic Networks.
Article in Bulletin of mathematical biology, 2024. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 4 papers.
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4 citing papers in PubMed.
- Algebraic Invariants for Inferring 4-Leaf Semi-Directed Phylogenetic Networks.Systematic biology · 2026Article
- Group-based phylogenetic models on 3-sunlet networks.Bulletin of mathematical biology · 2025Article
- Identifiability of Level-1 Species Networks from Gene Tree Quartets.Bulletin of mathematical biology · 2024Article
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3 authors.
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Abstract
Phylogenetic networks represent evolutionary histories of sets of taxa where horizontal evolution or hybridization has occurred. Placing a Markov model of evolution on a phylogenetic network gives a model that is particularly amenable to algebraic study by representing it as an algebraic variety. In this paper, we give a formula for the dimension of the variety corresponding to a triangle-free level-1 phylogenetic network under a group-based evolutionary model. On our way to this, we give a dimension formula for codimension zero toric fiber products. We conclude by illustrating applications to identifiability.
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