On the neighborhoods of trees

Peter J. Humphries; Taoyang Wu

doi:10.1109/TCBB.2013.66

On the neighborhoods of trees

Peter J. Humphries, Taoyang Wu

Research output: Contribution to journal › Article › peer-review

16 Citations (Scopus)

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.

Original language	English
Pages (from-to)	721-728
Number of pages	8
Journal	IEEE/ACM Transactions on Computational Biology and Bioinformatics
Volume	10
Issue number	3
DOIs	https://doi.org/10.1109/TCBB.2013.66
Publication status	Published - 1 May 2013

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10.1109/TCBB.2013.66

Cite this

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