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4 papers
Counting Phylogenetic Networks with Few Reticulation Vertices: Exact Enumeration and Corrections
Michael Fuchs, Bernhard Gittenberger, Marefatollah Mansouri
In previous work, we gave asymptotic counting results for the number of tree-child and normal networks with reticulation vertices and explicit exponential generating functions…
Counting General Phylogenetic networks
Marefatollah Mansouri
We provide precise asymptotic estimates for the number of general phylogenetic networks by using analytic combinatorial methods. Recently, this approach is studied by Fuchs, Gitten…
Counting Phylogenetic Networks of level 1 and 2
Mathilde Bouvel, Philippe Gambette, Marefatollah Mansouri
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.…
Counting Phylogenetic Networks with Few Reticulation Vertices: Tree-Child and Normal Networks
Michael Fuchs, Bernhard Gittenberger, Marefatollah Mansouri
In recent decades, phylogenetic networks have become a standard tool in modeling evolutionary processes. Nevertheless, basic combinatorial questions about them are still largely op…