Representing Partitions on Trees

@article{Huber2014RepresentingPO,
  title={Representing Partitions on Trees},
  author={Katharina T. Huber and Vincent Moulton and Charles Semple and Taoyang Wu},
  journal={SIAM J. Discrete Math.},
  year={2014},
  volume={28},
  pages={1152-1172}
}
In evolutionary biology, biologists often face the problem of constructing a phylogenetic tree on a set X of species from a multiset Π of partitions corresponding to various attributes of these species. One approach that is used to solve this problem is to try instead to associate a tree (or even a network) to the multiset ΣΠ consisting of all those bipartitions {A,X −A} with A a part of some partition in Π. The rationale behind this approach is that a phylogenetic tree with leaf set X can be… CONTINUE READING
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