Skip to main content

Advertisement

Log in

Phylogenetic Networks that Display a Tree Twice

  • Original Article
  • Published:
Bulletin of Mathematical Biology Aims and scope Submit manuscript

Abstract

In the last decade, the use of phylogenetic networks to analyze the evolution of species whose past is likely to include reticulation events, such as horizontal gene transfer or hybridization, has gained popularity among evolutionary biologists. Nevertheless, the evolution of a particular gene can generally be described without reticulation events and therefore be represented by a phylogenetic tree. While this is not in contrast to each other, it places emphasis on the necessity of algorithms that analyze and summarize the tree-like information that is contained in a phylogenetic network. We contribute to the toolbox of such algorithms by investigating the question of whether or not a phylogenetic network embeds a tree twice and give a quadratic-time algorithm to solve this problem for a class of networks that is more general than tree-child networks.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5

Similar content being viewed by others

References

  • Cardona G, Llabrés M, Rosselló F, Valiente G (2008) A distance metric for a class of tree-sibling phylogenetic networks. Bioinformatics 24:1481–1488

    Article  Google Scholar 

  • Cardona G, Rossello F, Valiente G (2009) Comparison of tree-child phylogenetic networks. IEEE Trans Comput Biol Bioinform 6:552–569

    Article  Google Scholar 

  • Cormen TH, Leiserson CE, Rivest RL, Stein C (2001) Introduction to algorithms. MIT Press and McGraw-Hill, New York

    MATH  Google Scholar 

  • Huson DH, Rupp R, Scornavacca C (2010) Phylogenetic networks: concepts, algorithms and applications. Cambridge University Press, Cambridge, MA

    Book  Google Scholar 

  • van Iersel L, Semple C, Steel M (2010) Locating a tree in a phylogenetic network. Inf Process Lett 110:1037–1043

    Article  MathSciNet  Google Scholar 

  • Kanj IA, Nakhleh L, Than C, Xia G (2008) Seeing the trees and their branches in the network is hard. Theor Comput Sci 401:153–164

    Article  MathSciNet  MATH  Google Scholar 

  • Linz S, St. John K, Semple C (2013) Counting trees in a phylogenetic network is #P-complete. SIAM J Comput 42:1768–1776

  • McDiarmid C, Semple C, Welsh D (in press) Counting phylogenetic networks. Ann Comb

  • Nakhleh L, Jin G, Zhao F, Mellor-Crummey J (2005) Reconstructing phylogenetic networks using maximum parsimony. In: IEEE computational systems bioinformatics conference, pp 440–442

  • Willson SJ (2010) Properties of normal phylogenetic networks. Bull Math Biol 72:340–358

    Article  MathSciNet  MATH  Google Scholar 

  • Willson SJ (2012) Tree-average distances on certain phylogenetic networks have their weights uniquely determined. Algorithm Mol Biol 7:13

    Article  Google Scholar 

Download references

Acknowledgments

We thank the two anonymous referees for their helpful comments.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Simone Linz.

Additional information

We thank the Allan Wilson Centre for Molecular Ecology and Evolution, the New Zealand Marsden Fund, and the 7th European Community Framework Programme for their financial support.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Cordue, P., Linz, S. & Semple, C. Phylogenetic Networks that Display a Tree Twice. Bull Math Biol 76, 2664–2679 (2014). https://doi.org/10.1007/s11538-014-0032-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11538-014-0032-x

Keywords

Navigation