Publication: Counting phylogenetic networks of level 1 and 2
Counting phylogenetic networks of level 1 and 2
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Bouvel, M., Gambette, P., & Mansouri, M. (2020). Counting phylogenetic networks of level 1 and 2. Journal of Mathematical Biology, 81, 1357–1395. https://doi.org/10.1007/s00285-020-01543-5
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Phylogenetic networks generalize phylogenetic trees, and have been introduced in order to describe evolution in the case of transfer of genetic material between coexisting species. There are many classes of phylogenetic networks, which can all be modeled as families of graphs with labeled leaves. In this paper, we focus on rooted and unrooted level-k networks and provide enumeration formulas (exact and asymptotic) for rooted and unrooted level-1 and level-2 phylogenetic networks with a given number of leaves. We also prove that the di
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Bouvel, M., Gambette, P., & Mansouri, M. (2020). Counting phylogenetic networks of level 1 and 2. Journal of Mathematical Biology, 81, 1357–1395. https://doi.org/10.1007/s00285-020-01543-5