Non-binary universal tree-based networks
Mareike Fischer, Michelle Galla, and Kristina Wicke
Vol. 26, no. 1, pp. 81-90, 2022. Regular paper.
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 $n$.

Keywords: phylogenetic tree, phylogenetic network, tree-based network, universal tree-based network

 This work is licensed under the terms of the CC-BY license.
Submitted: August 2021.
Reviewed: November 2021.
Revised: December 2021.
Accepted: March 2022.
Final: March 2022.
Published: April 2022.
Communicated by Paolo Ferragina
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