Galois connections for phylogenetic networks and their polytopes

@article{Forcey2020GaloisCF,
  title={Galois connections for phylogenetic networks and their polytopes},
  author={Stefan Forcey and Drew Scalzo},
  journal={arXiv: Combinatorics},
  year={2020}
}
We describe Galois connections which arise between two kinds of combinatorial structures, both of which generalize trees with labelled leaves, and then apply those connections to a family of polytopes. The graphs we study can be imbued with metric properties or associated to vectors. Famous examples are the Billera-Holmes-Vogtmann metric space of phylogenetic trees, and the Balanced Minimal Evolution polytopes of phylogenetic trees described by Eickmeyer, Huggins, Pachter and Yoshida. Recently… Expand

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