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A universal tree-based network with the minimum number of reticulations (2018)
Journal Article
Bordewich, M., & Semple, C. (2018). A universal tree-based network with the minimum number of reticulations. Discrete Applied Mathematics, 250, 357-362. https://doi.org/10.1016/j.dam.2018.05.010

A tree-based network N on X is universal if every rooted binary phylogenetic X-tree is a base tree for N. Hayamizu and, independently, Zhang constructively showed that, for all positive integers n, there exists an universal tree-based network on n le... Read More about A universal tree-based network with the minimum number of reticulations.

Recovering normal networks from shortest inter-taxa distance information (2018)
Journal Article
Bordewich, M., Huber, K. T., Moulton, V., & Semple, C. (2018). Recovering normal networks from shortest inter-taxa distance information. Journal of Mathematical Biology, 77(3), 571-594. https://doi.org/10.1007/s00285-018-1218-x

Phylogenetic networks are a type of leaf-labelled, acyclic, directed graph used by biologists to represent the evolutionary history of species whose past includes reticulation events. A phylogenetic network is tree–child if each non-leaf vertex is th... Read More about Recovering normal networks from shortest inter-taxa distance information.