English

Counting General Phylogenetic networks

Combinatorics 2020-06-01 v1

Abstract

We provide precise asymptotic estimates for the number of general phylogenetic networks by using analytic combinatorial methods. Recently, this approach is studied by Fuchs, Gittenberger, and the author himself (Australasian Journal of Combinatorics 73(2):385-423, 2019), to count networks with few reticulation vertices for two subclasses: tree-child and normal networks. We follow this line of research to show how to obtain results on the enumeration of general phylogenetic networks.

Keywords

Cite

@article{arxiv.2005.14547,
  title  = {Counting General Phylogenetic networks},
  author = {Marefatollah Mansouri},
  journal= {arXiv preprint arXiv:2005.14547},
  year   = {2020}
}

Comments

36 pages, 2 Tables. arXiv admin note: text overlap with arXiv:1803.11325

R2 v1 2026-06-23T15:54:34.061Z