
Tree rearrangement operations typically induce a metric on the space of phylogenetic trees. One important property of these metrics is the size of the neighbourhood, that is, the number of trees exactly one operation from a given tree. We present an expression for the size of the TBR (tree bisection and reconnection) neighbourhood, thus answering a question first posed in [Annals of Combinatorics, 5, 2001 1-15].
17 pages
Models, Genetic, Populations and Evolution (q-bio.PE), Computational Biology, 004, FOS: Biological sciences, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Quantitative Biology - Populations and Evolution, Phylogeny
Models, Genetic, Populations and Evolution (q-bio.PE), Computational Biology, 004, FOS: Biological sciences, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Quantitative Biology - Populations and Evolution, Phylogeny
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