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Tree Buckets and the Reconstruction of Pairs of Phylogenetic Trees
Sky Basire, Michael Hendriksen
Phylogenetic trees are used in evolutionary biology to represent the evolutionary history of a collection of taxa. As we have incomplete information about any evolutionary history,…
Enumerating monophyletic characters in mathematical phylogenetics
Mareike Fischer, Michael Hendriksen, Kristina Wicke
Grouping species according to their phylogenetic relationships often results in different groups than grouping them according to their shared traits. Monophyletic groups play an im…
Classes of phylogenetic networks that are robust to root placement
Thomas Britz, Michael Hendriksen, Kaitlyn O'Reilly
Standard phylogenetic reconstruction techniques often yield unrooted phylogenetic networks; these are subsequently rooted to infer evolutionary history. A common problem in this pr…
Counting spinal phylogenetic networks
Andrew Francis, Michael Hendriksen
Phylogenetic networks are an important way to represent evolutionary histories that involve reticulations such as hybridization or horizontal gene transfer, yet fundamental questio…
A polynomial invariant for a new class of phylogenetic networks
Joan Carles Pons, Tomás M. Coronado, Michael Hendriksen +1
Invariants for complicated objects such as those arising in phylogenetics, whether they are invariants as matrices, polynomials, or other mathematical structures, are important too…
A survey of the monotonicity and non-contradiction of consensus methods and supertree methods
Mareike Fischer, Michael Hendriksen
In a recent study, Bryant, Francis and Steel investigated the concept of \enquote{future-proofing} consensus methods in phylogenetics. That is, they investigated if such methods ca…