Geodesic
Non-binary universal tree-based networks
Journal of Graph Algorithms and Applications, Tome 26 (2022) no. 1, pp. 81-90.

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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 $n$. Keywords: phylogenetic tree, phylogenetic network, tree-based network, universal tree-based network 
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Mareike Fischer; Michelle Galla; Kristina Wicke. Non-binary universal tree-based networks. Journal of Graph Algorithms and Applications, Tome 26 (2022) no. 1, pp. 81-90. doi : 10.7155/jgaa.00583. http://geodesic.mathdoc.fr/articles/10.7155/jgaa.00583/

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