The tree nearest on average to a given set of trees

  • K. Yu. Gorbunov
  • V. A. Lyubetsky
Large Systems


We formulate the problem of constructing a tree which is the nearest on average to a given set of trees. The notion of “nearest” is formulated based on a conception of events such that counting their number makes it possible to distinguish each of the given trees from the desired one. These events are called divergence, duplication, loss, and transfer; other lists of events can also be considered. We propose an algorithm that solves this problem in cubic time with respect to the input data size. We prove correctness of the algorithm and a cubic estimate for its complexity.


Gene Tree Information Transmission Root Tube Standard Collection Root Edge 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Pleiades Publishing, Ltd. 2011

Authors and Affiliations

  1. 1.Kharkevich Institute for Information Transmission ProblemsRussian Academy of SciencesMoscowRussia

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