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Creators/Authors contains: "Krone, Robert"

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  1. ; ; (, Bulletin of Mathematical Biology)
    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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  2. ; ; ; (, Journal of Symbolic Computation)
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  3. ; ; ; ; (, Journal of Software for Algebra and Geometry)
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  4. ; (, SIAM Journal on Discrete Mathematics)
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  5. ; ; (, Advanced Studies in Pure Mathematics)
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