On the existence of infinitely many universal tree-based networks

Non-binary universal tree-based networks

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 $n$.

On Tree Based Phylogenetic Networks

A large class of phylogenetic networks can be obtained from trees by the addition of horizontal edges between the tree edges. These networks are called tree based networks. Reticulation-visible networks and child-sibling networks are all tree based. In this work, we present a simply necessary and sufficient condition for tree-based networks and prove that there is a universal tree based network for each set of species such that every phylogenetic tree on the same species is a base of this network. The existence of universal tree based network implies that for any given set of phylogenetic tree…

生命之树分支中的普遍缩放

Universal scaling in the branching of the Tree of Life

了解地球上生命多样化的模式和过程是科学的一个关键挑战。生命之树通过不同类群之间的进化关系代表了这种多样化过程，并可以扩展到种内关系。在这里，我们研究的拓扑性质的一个大的种间和种内同源性，并表明，分支模式遵循异速生长的规则保存在不同的层次上的生命之树，所有显着偏离预期的标准零模型。系统发育分化的非随机普遍模式的发现表明，类似的进化力量推动了从宏观进化到微观进化过程的广泛规模的多样化，塑造了地球上生命的多样性。