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Labellable Phylogenetic Networks.

Andrew Francis1, Mike Steel2

  • 1Centre for Research in Mathematics and Data Science, Western Sydney University, Penrith, Australia. a.francis@westernsydney.edu.au.

Bulletin of Mathematical Biology
|April 25, 2023
PubMed
Summary
This summary is machine-generated.

We introduce labellable phylogenetic networks, a new class simplifying evolutionary history analysis. These networks capture complex evolutionary events like hybridization and gene transfer, aiding in understanding reticulate evolution.

Keywords:
EncodingOrchardPhylogenetic networkTree-based

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Area of Science:

  • Evolutionary biology
  • Computational biology
  • Discrete mathematics

Background:

  • Phylogenetic networks model evolutionary history, including speciation and reticulate events like hybridization.
  • Inferring and working with phylogenetic networks is challenging due to their complexity.

Purpose of the Study:

  • Define a new, large class of phylogenetic networks termed 'labellable networks'.
  • Establish a mathematical correspondence between labellable networks and 'expanding covers' of finite sets.
  • Investigate the properties and relationships of labellable networks within the broader field of phylogenetic network inference.

Main Methods:

  • Define labellable phylogenetic networks based on a combinatorial condition.
  • Establish a bijection between labellable networks and expanding covers of finite sets.
  • Analyze the relationship between labellable networks and other existing classes of phylogenetic networks.

Main Results:

  • A new class of phylogenetic networks, labellable networks, is defined.
  • Labellable networks are shown to be in bijection with expanding covers of finite sets.
  • All phylogenetic networks are demonstrated to possess a quotient network that is labellable.

Conclusions:

  • Labellable networks offer a simplified framework for studying complex evolutionary histories.
  • The established bijection provides a novel combinatorial tool for phylogenetic network analysis.
  • The existence of a labellable quotient network suggests a method for simplifying complex phylogenetic network structures.