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Correction: "Distinguishing Phylogenetic Level-2 Networks with Quartets and Inter-Taxon Quartet Distances".

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Not all phylogenetic networks are leaf-reconstructible.

Péter L Erdős1, Leo van Iersel2, Mark Jones3

  • 1Alfréd Rényi Institute of Mathematics, Reáltanoda u 13-15, Budapest, 1053, Hungary.

Journal of Mathematical Biology
|August 1, 2019
PubMed
Summary

The conjecture that unrooted phylogenetic networks can be uniquely reconstructed from subnetworks is false. Counter-examples demonstrate that evolutionary history reconstruction remains ambiguous even with complete subnetwork data.

Keywords:
Graph reconstructionLeaf removalPhylogenetic NetworksPhylogeneticsUlam’s ConjectureUndirected graphs

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Area of Science:

  • Evolutionary biology
  • Computational phylogenetics
  • Graph theory

Background:

  • Phylogenetic networks model complex evolutionary histories with reticulate events.
  • Accurate reconstruction of these networks is crucial for understanding evolutionary processes.

Purpose of the Study:

  • To investigate the conjecture that unrooted phylogenetic networks are uniquely reconstructible from subnetworks obtained by deleting a single taxon.
  • To determine the validity of this conjecture for general and binary networks.

Main Methods:

  • Constructing counter-examples to the uniqueness conjecture.
  • Analyzing unrooted phylogenetic networks and their subnetworks.

Main Results:

  • The conjecture is false for unrooted phylogenetic networks with at least four taxa.
  • Counter-examples were found for all network sizes considered (>= 4 taxa).
  • The conjecture remains false even when restricted to binary phylogenetic networks.

Conclusions:

  • Unrooted phylogenetic networks are not uniquely reconstructible from their single-taxon deletion subnetworks.
  • Reconstructing evolutionary histories of subsets does not guarantee unique reconstruction of the full network.