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Arboreal networks and their underlying trees

2025/03/28 by Katharina T. Huber, Huber, Katharina T., Darren Overman +1
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #05C05 #92D15 #FOS: Biological sciences #Genome Rearrangement Algorithms #Genomics and Phylogenetic Studies #Origins and Evolution of Life #Populations and Evolution (q-bio.PE)

paper · doi:10.48550/arxiv.2503.22419

openalex publication_date 2025/03/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Horizontal gene transfer (HGT) is an important process in bacterial evolution. Current phylogeny-based approaches to capture it cannot however appropriately account for the fact that HGT can occur between bacteria living in different ecological niches. Due to the fact that arboreal networks are a type of multiple-rooted phylogenetic network that can be thought of as a forest of rooted phylogenetic trees along with a set of additional arcs each joining two different trees in the forest, understanding the combinatorial structure of such networks might therefore pave the way to extending current phylogeny-based HGT-inference methods in this direction. A central question in this context is, how can we construct an arboreal network? Answering this question is strongly informed by finding ways to encode an arboreal network, that is, breaking up the network into simpler combinatorial structures that, in a well defined sense uniquely determine the network. In the form of triplets, trinets and quarnets such encodings are known for certain types of single-rooted phylogenetic networks. By studying the underlying tree of an arboreal network, we compliment them here with an answer for arboreal networks.

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