Abstract
We study the problem of finding a temporal hybridization network containing at most k reticulations, for an input consisting of a set of phylogenetic trees. First, we introduce an FPT algorithm for the problem on an arbitrary set of m binary trees with n leaves each with a running time of O(5(k).n.m). We also present the concept of temporal distance, which is a measure for how close a tree-child network is to being temporal. Then we introduce an algorithm for computing a tree-child network with temporal distance at most d and at most k reticulations in O((8k)(d)5(k).k.n.m) time. Lastly, we introduce an O(6(k)k!.k.n(2)) time algorithm for computing a temporal hybridization network for a set of two nonbinary trees. We also provide an implementation of all algorithms and an experimental analysis on their performance.
Original language | English |
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Pages (from-to) | 2050-2087 |
Number of pages | 38 |
Journal | Algorithmica |
Volume | 84 |
Issue number | 7 |
Early online date | 25 Mar 2022 |
DOIs | |
Publication status | Published - Jul 2022 |
Keywords
- Parameterized algorithms
- Phylogenetic networks
- Phylogenetic trees
- Hybridization number
- CHERRY-PICKING