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A Simple Planting Technique for Re-establishing Trees Where Frequent Inundation Occurs
Published on: January 26, 2018
On the neighborhoods of trees
Peter J Humphries1, Taoyang Wu
1North Carolina Central University, Durham.
Abstract:
Tree rearrangement operations typically induce a metric on the space of phylogenetic trees. One important property of these metrics is the size of the neighborhood, that is, the number of trees exactly one operation from a given tree. We present an exact expression for the size of the TBR (tree bisection and reconnection) neighborhood, thus answering a question first posed by Allen and Steel . In addition, we also obtain a characterization of the extremal trees whose TBR neighborhoods are maximized and minimized.
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