English

A Short Note on the Exact Counting of Tree-Child Networks

Populations and Evolution 2021-10-11 v1 Combinatorics

Abstract

Tree-child networks are an important network class which are used in phylogenetics to model reticulate evolution. In a recent paper, Pons and Batle (2021) conjectured a relation between tree-child networks and certain words. In this short note, we prove their conjecture for the (important) class of one-component tree-child networks.

Keywords

Cite

@article{arxiv.2110.03842,
  title  = {A Short Note on the Exact Counting of Tree-Child Networks},
  author = {Michael Fuchs and Hexuan Liu and Guan-Ru Yu},
  journal= {arXiv preprint arXiv:2110.03842},
  year   = {2021}
}

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6 pages