Phylogenetic networks form partial trees
| dc.creator | Grünewald, S. | |
| dc.creator | Huber, K. T. | |
| dc.creator | Wu, Q. | |
| dc.date | 2007-09-03 | |
| dc.date.accessioned | 2026-07-07T08:27:18Z | |
| dc.date.available | 2026-07-07T08:27:18Z | |
| dc.description | A contemporary and fundamental problem faced by many evolutionary biologists is how to puzzle together a collection $\mathcal P$ of partial trees (leaf-labelled trees whose leaves are bijectively labelled by species or, more generally, taxa, each supported by e. g. a gene) into an overall parental structure that displays all trees in $\mathcal P$. This already difficult problem is complicated by the fact that the trees in $\mathcal P$ regularly support conflicting phylogenetic relationships and are not on the same but only overlapping taxa sets. A desirable requirement on the sought after parental structure therefore is that it can accommodate the observed conflicts. Phylogenetic networks are a popular tool capable of doing precisely this. However, not much is known about how to construct such networks from partial trees, a notable exception being the $Z$-closure super-network approach and the recently introduced $Q$-imputation approach. Here, we propose the usage of closure rules to obtain such a network. In particular, we introduce the novel $Y$-closure rule and show that this rule on its own or in combination with one of Meacham's closure rules (which we call the $M$-rule) has some very desirable theoretical properties. In addition, we use the $M$- and $Y$-rule to explore the dependency of Rivera et al.'s ``ring of life'' on the fact that the underpinning phylogenetic trees are all on the same data set. Our analysis culminates in the presentation of a collection of induced subtrees from which this ring can be reconstructed. | |
| dc.description | 25 pages | |
| dc.identifier | https://arxiv.org/abs/0709.0283 | |
| dc.identifier | http://arxiv.org/abs/0709.0283 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/137226 | |
| dc.subject | Combinatorics | |
| dc.subject | 05C99; 92D15 | |
| dc.title | Phylogenetic networks form partial trees | |
| dc.type | text |