On the comparison of incompatibility of split systems across different numbers of taxa

Michael Hendriksen; Nils Kapust

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arXiv · 2004.00062

On the comparison of incompatibility of split systems across different numbers of taxa

Michael Hendriksen·Nils Kapust

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Abstract

The concept of $k$-compatibility measures how many phylogenetic trees it would take to display all splits in a given set. A set of trees that display every single possible split is termed a \textit{universal tree set}. In this note, we find $A(n)$, the minimal size of a universal tree set for $n$ taxa. By normalising the $k$-compatibility using $A(n)$, one can then compare incompatibility of split systems across different taxa sizes. We demonstrate this application by comparing two SplitsTree networks of different sizes derived from archaeal genomes.

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Michael Hendriksen, Nils Kapust. 2020-03-31. On the comparison of incompatibility of split systems across different numbers of taxa. https://arxiv.org/abs/2004.00062

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