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Fig. 7 | BMC Evolutionary Biology

Fig. 7

From: Improved mitochondrial amino acid substitution models for metazoan evolutionary studies

Fig. 7

Unrooted binary trees T ,  T ′, and true tree T 0 each has 7 bipartitions. The bipartitions that in T but not in T ’ is {(12| 345), (124| 35)}. The bipartitions that in T ’ but not in T is {(15| 234), (152| 34)}. The Robinson and Foulds distance between T and T ′ is four. The set S of all bipartitions in T and T ′ is \( \left\{\begin{array}{c}\left(12|345\right),\left(124|35\right),\left(15|234\right),\kern0.5em \left(152|34\right),\\ {}\left(1|2345\right),\left(2|1345\right),\left(3|1245\right),\left(4|1235\right),\left(5|1234\right)\end{array}\right\}. \) As the set S consists of 2 incorrect bipartitions (i.e., (124| 35) and (15| 234)), the worse tree must contain at least one incorrect bipartition (a quarter of the Robinson and Foulds distance between T and T ′)

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