New FPT algorithms for finding the temporal hybridization number for sets of phylogenetic trees

@article{Borst2022NewFA,
  title={New FPT algorithms for finding the temporal hybridization number for sets of phylogenetic trees},
  author={Sander Borst},
  journal={Algorithmica},
  year={2022},
  volume={84},
  pages={2050-2087}
}
  • Sander Borst
  • Published 27 July 2020
  • Computer Science
  • Algorithmica
<jats:p>We study the problem of finding a temporal hybridization network containing at most <jats:italic>k</jats:italic> 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 <jats:italic>m</jats:italic> binary trees with <jats:italic>n</jats:italic> leaves each with a running time of <jats:inline-formula><jats:alternatives><jats:tex-math>$$O(5^k\cdot n\cdot m)$$</jats:tex-math><mml:math xmlns:mml="http… 
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2 Citations

2 Citations

A Practical Fixed-Parameter Algorithm for Constructing Tree-Child Networks from Multiple Binary Trees
We present the first fixed-parameter algorithm for constructing a tree-child phylogenetic network that displays an arbitrary number of binary input trees and has the minimum number of reticulations…
Orchard Networks are Trees with Additional Horizontal Arcs
TLDR
It is shown that orchard networks can be interpreted as trees with additional horizontal arcs, closely related to tree-based networks, where the difference is that in tree- based networks the additional arcs do not need to be horizontal.

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