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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.more » « less
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Martin, Samuel C.; Ball, Zachary T. (, ACS Medicinal Chemistry Letters)
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Conrad, Catharina; Yildiz, Daniela; Cleary, Simon J.; Margraf, Andreas; Cook, Lena; Schlomann, Uwe; Panaretou, Barry; Bowser, Jessica L.; Karmouty-Quintana, Harry; Li, Jiwen; et al (, JCI Insight)
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