On the Neighborhoods of Trees

Humphries Peter J.; Wu Taoyang

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On the Neighborhoods of Trees

机译：在树木的邻里

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摘要

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.

机译：树木重排操作通常会得出系统发育树空间的度量。这些指标的一个重要属性是邻域的大小，即给定树中恰好一项操作的树数。我们给出了TBR（树的二等分和重新连接）邻域大小的精确表达式，从而回答了Allen和Steel最初提出的一个问题。此外，我们还获得了其TBR邻域最大化和最小化的极树的特征。

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《IEEE/ACM transactions on computational biology and bioinformatics》 |2013年第3期|721-728|共8页
作者
Humphries Peter J.; Wu Taoyang;
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作者单位

North Carolina Central University, Durham|c|;

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原文格式 PDF
正文语种 eng
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关键词
Tree rearrangement; phylogenetics; tree bisection and reconnection; unit neighborhood;

机译：树木重排;系统发生学;树木二等分再连接;单元邻域;

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On the Neighborhoods of Trees

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