Constructing level-2 phylogenetic networks from triplets
| dc.creator | van Iersel, Leo | |
| dc.creator | Keijsper, Judith | |
| dc.creator | Kelk, Steven | |
| dc.creator | Stougie, Leen | |
| dc.date | 2007-07-19 | |
| dc.date.accessioned | 2026-07-07T08:19:13Z | |
| dc.date.available | 2026-07-07T08:19:13Z | |
| dc.description | Jansson and Sung showed that, given a dense set of input triplets T (representing hypotheses about the local evolutionary relationships of triplets of species), it is possible to determine in polynomial time whether there exists a level-1 network consistent with T, and if so to construct such a network. They also showed that, unlike in the case of trees (i.e. level-0 networks), the problem becomes NP-hard when the input is non-dense. Here we further extend this work by showing that, when the set of input triplets is dense, the problem is even polynomial-time solvable for the construction of level-2 networks. This shows that, assuming density, it is tractable to construct plausible evolutionary histories from input triplets even when such histories are heavily non-tree like. This further strengthens the case for the use of triplet-based methods in the construction of phylogenetic networks. We also show that, in the non-dense case, the level-2 problem remains NP-hard. | |
| dc.identifier | https://arxiv.org/abs/0707.2890 | |
| dc.identifier | http://arxiv.org/abs/0707.2890 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/134692 | |
| dc.subject | Populations and Evolution | |
| dc.title | Constructing level-2 phylogenetic networks from triplets | |
| dc.type | text |