论文标题
非二元通用树网络
Non-binary universal tree-based networks
论文作者
论文摘要
如果$ x $的$ x $上的基于树的网络$ n $称为Universal，则$ x $上的每条系统发育树都是$ n $的基本树。最近，基于二进制的树木网络在文献中引起了极大的关注，并且在各种研究中都对其存在进行了分析。在本说明中，我们将分析扩展到非二进制网络，并表明存在一个根源和无根的非二进制环通用树网络，所有正整数$ n $都有$ n $叶子。
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 $n$.
