Worst-case optimal approximation algorithms for maximizing triplet consistency within phylogenetic networks
| dc.creator | Byrka, Jaroslaw | |
| dc.creator | Gawrychowski, Pawel | |
| dc.creator | Huber, Katharina T. | |
| dc.creator | Kelk, Steven | |
| dc.date | 2007-10-17 | |
| dc.date | 2008-02-13 | |
| dc.date.accessioned | 2026-07-07T09:20:06Z | |
| dc.date.available | 2026-07-07T09:20:06Z | |
| dc.description | This article concerns the following question arising in computational evolutionary biology. For a given subclass of phylogenetic networks, what is the maximum value of 0 <= p <= 1 such that for every input set T of rooted triplets, there exists some network N(T) from the subclass such that at least p|T| of the triplets are consistent with N(T)? Here we prove that the set containing all triplets (the full triplet set) in some sense defines p, and moreover that any network N achieving fraction p' for the full triplet set can be converted in polynomial time into an isomorphic network N'(T) achieving >= p' for an arbitrary triplet set T. We demonstrate the power of this result for the field of phylogenetics by giving worst-case optimal algorithms for level-1 phylogenetic networks (a much-studied extension of phylogenetic trees), improving considerably upon the 5/12 fraction obtained recently by Jansson, Nguyen and Sung. For level-2 phylogenetic networks we show that p >= 0.61. We note that all the results in this article also apply to weighted triplet sets. | |
| dc.description | A new version with heavily optimized derandomization running time. And a very fast triplet-consistency checking algorithm as subroutine | |
| dc.identifier | https://arxiv.org/abs/0710.3258 | |
| dc.identifier | http://arxiv.org/abs/0710.3258 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/154620 | |
| dc.subject | Populations and Evolution | |
| dc.title | Worst-case optimal approximation algorithms for maximizing triplet consistency within phylogenetic networks | |
| dc.type | text |