Journal of Mathematical Biology

, Volume 75, Issue 6–7, pp 1669–1692 | Cite as

Reconstruction of LGT networks from tri-LGT-nets

  • Gabriel CardonaEmail author
  • Joan Carles Pons


Phylogenetic networks have gained attention from the scientific community due to the evidence of the existence of evolutionary events that cannot be represented using trees. A variant of phylogenetic networks, called LGT networks, models specifically lateral gene transfer events, which cannot be properly represented with generic phylogenetic networks. In this paper we treat the problem of the reconstruction of LGT networks from substructures induced by three leaves, which we call tri-LGT-nets. We first restrict ourselves to a class of LGT networks that are both mathematically treatable and biologically significant, called BAN-LGT networks. Then, we study the decomposition of such networks in subnetworks with three leaves and ask whether or not this decomposition determines the network. The answer to this question is negative, but if we further impose time-consistency (species involved in a later gene transfer must coexist) the answer is affirmative, up to some redundancy that can never be recovered but is fully characterized.


Phylogenetic networks Lateral gene transfers Triplets 

Mathematics Subject Classification

05C85 92D15 



The authors would like to thank the anonymous reviewers for many comments and suggestions that helped to improve the quality of the manuscript.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  1. 1.Department of Mathematics and Computer ScienceUniversity of the Balearic IslandsPalmaSpain

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