Skip to main content

Genome Halving under DCJ Revisited

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5092))

Abstract

The Genome Halving Problem is the following: Given a rearranged duplicated genome, find a perfectly duplicated genome such that the rearrangement distance between these genomes is minimal with respect to a particular model of genome rearrangement. Recently, Warren and Sankoff studied this problem under the general DCJ model where the pre-duplicated genome contains both, linear and circular chromosomes. In this paper, we revisit the Genome Halving Problem for the DCJ distance and we propose a genome model such that constraints for linear genomes, as well as the ones for circular genomes are taken into account. Moreover, we correct an error in the original paper.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Ahn, S., Tanksley, S.D.: Comparative Linkage Maps of Rice and Maize Genomes. Proc. Natl. Acad. Sci. 90(17), 7980–7984 (1993)

    Article  Google Scholar 

  2. Alekseyev, M., Pevzner, P.: Whole Genome Duplications and Contracted Breakpoint Graphs. SIAM J. Comput. 36(6), 1748–1763 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  3. Alekseyev, M., Pevzner, P.: Whole Genome Duplications, Multi-break Rearrangements, and Genome Halving Problem. In: Proceedings of SODA 2007, pp. 665–679 (2007)

    Google Scholar 

  4. Bergeron, A., Mixtacki, J., Stoye, J.: A Unifying View of Genome Rearrangements. In: Bücher, P., Moret, B.M.E. (eds.) WABI 2006. LNCS (LNBI), vol. 4175, pp. 163–173. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  5. Dehal, P., Boore, J.L.: Two Rounds of Whole Genome Duplication in the Ancestral Vertebrate. PLoS Biology 3(10), 314 (2003)

    Article  Google Scholar 

  6. El-Mabrouk, N.: Reconstructing an Ancestral Genome Using Minimum Segments Duplications and Reversals. J. Comput. Syst. Sci. 65(3), 442–464 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  7. El-Mabrouk, N., Bryant, D., Sankoff, D.: Reconstructing the Pre-doubling Genome. In: Proceedings of RECOMB 1999, pp. 154–163 (1999)

    Google Scholar 

  8. El-Mabrouk, N., Nadeau, J., Sankoff, D.: Genome Halving. In: Farach-Colton, M. (ed.) CPM 1998. LNCS, vol. 1448, pp. 235–250. Springer, Heidelberg (1998)

    Chapter  Google Scholar 

  9. El-Mabrouk, N., Sankoff, D.: The Reconstruction of Doubled Genomes. SIAM J. Comput. 32(3), 754–792 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  10. Guyot, R., Keller, B.: Ancestral Genome Duplication in Rice. Genome 47, 610–614 (2004)

    Article  Google Scholar 

  11. Hannenhalli, S., Pevzner, P.: Transforming Men into Mice (polynomial Algorithm for Genomic Distance Problem). In: Proceedings of FOCS 1995, pp. 581–592. IEEE Press, Los Alamitos (1995)

    Google Scholar 

  12. Kellis, M., Birren, B.W., Lander, E.S.: Proof and Evolutionary Analysis of Ancient Genome Duplication in the Yeast Saccharomyces Cerevisiae. Nature 428(6983), 617–624 (2004)

    Article  Google Scholar 

  13. Ohno, S.: Ancient Linkage Group and Frozen Accidents. Nature 244, 259–262 (1973)

    Article  Google Scholar 

  14. Warren, R., Sankoff, D.: Genome Halving with Double Cut and Join. In: Proceedings of APBC 2008, Series on Advances in Bioinformatics and Computational Biology, vol. 6 (2008)

    Google Scholar 

  15. Yancopoulos, S., Attie, O., Friedberg, R.: Efficient Sorting of Genomic Permutations by Translocation, Inversion and Block Interchange. Bioinformatics 21(16), 3340–3346 (2005)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Xiaodong Hu Jie Wang

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Mixtacki, J. (2008). Genome Halving under DCJ Revisited. In: Hu, X., Wang, J. (eds) Computing and Combinatorics. COCOON 2008. Lecture Notes in Computer Science, vol 5092. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69733-6_28

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-69733-6_28

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-69732-9

  • Online ISBN: 978-3-540-69733-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics