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arXiv · 2001.06093

Non-binary universal tree-based networks

Mareike Fischer·Michelle Galla·Kristina Wicke
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Abstract

A tree-based network $N$ on $X$ is called universal if every phylogenetic tree on $X$ is a base tree for $N$. Recently, binary universal tree-based networks have attracted great attention in the literature and their existence has been analyzed in various studies. In this note, we extend the analysis to non-binary networks and show that there exist both a rooted and an unrooted non-binary universal tree-based network with $n$ leaves for all positive integers $n$.

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Mareike Fischer, Michelle Galla, Kristina Wicke. 2020-01-14. Non-binary universal tree-based networks. https://arxiv.org/abs/2001.06093

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