On the neighborhoods of trees

Humphries, Peter J. and Wu, Taoyang ORCID: https://orcid.org/0000-0002-2663-2001 (2013) On the neighborhoods of trees. IEEE/ACM Transactions on Computational Biology and Bioinformatics, 10 (3). pp. 721-728. ISSN 1545-5963

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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.

Item Type:	Article
Faculty \ School:	Faculty of Science > School of Computing Sciences
UEA Research Groups:	Faculty of Science > Research Groups > Computational Biology > Phylogenetics (former - to 2018) Faculty of Science > Research Groups > Computational Biology
Depositing User:	Pure Connector
Date Deposited:	09 Jun 2014 20:32
Last Modified:	04 Mar 2024 16:53
URI:	https://ueaeprints.uea.ac.uk/id/eprint/48556
DOI:	10.1109/TCBB.2013.66

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