Extremal Distances for Subtree Transfer Operations in Binary Trees

  title={Extremal Distances for Subtree Transfer Operations in Binary Trees},
  author={Ross Atkins and Colin McDiarmid},
  journal={Annals of Combinatorics},
Three standard subtree transfer operations for binary trees, used in particular for phylogenetic trees, are: tree bisection and reconnection (TBR), subtree prune and regraft (SPR), and rooted subtree prune and regraft (rSPR). We show that for a pair of leaf-labelled binary trees with n leaves, the maximum number of such moves required to transform one into the other is $$n-\Theta (\sqrt{n})$$n-Θ(n), extending a result of Ding, Grünewald, and Humphries, and this holds also if one of the trees is… 
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    Mathematical biosciences
  • 1990
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  • Computer Science
    Cladistics : the international journal of the Willi Hennig Society
  • 2008
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