Journal of Mathematical Biology

, Volume 48, Issue 2, pp 160–186

On the minimum number of recombination events in the evolutionary history of DNA sequences


    • Department of StatisticsUniversity of Oxford
    • Mathematical InstituteUniversity of Oxford
  • Jotun Hein
    • Department of StatisticsUniversity of Oxford

DOI: 10.1007/s00285-003-0227-5

Cite this article as:
Song, Y. & Hein, J. J. Math. Biol. (2004) 48: 160. doi:10.1007/s00285-003-0227-5


In representing the evolutionary history of a set of binary DNA sequences by a connected graph, a set theoretical approach is introduced for studying recombination events. We show that set theoretical constraints have direct implications on the number of recombination events. We define a new lower bound on the number of recombination events and demonstrate the usefulness of our new approach through several explicit examples.


Recombination Graph Lower bounds Minimum number Evolutionary history Incompatibility

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© Springer-Verlag Berlin Heidelberg 2003