19 citations · 38 across the 13 of their papers we have counts for
15 papers
EL-Shellability of the poset of ranked cactuses
Vincent Moulton, Andreas Spillner, Antonia Stavemann
Recently the poset of ranked cactuses was introduced. For a finite set , this poset consists of a set of certain collections of ord…
Labeling and folding multi-labeled trees
Vincent Moulton, Andreas Spillner
In 1989 Erdős and Székely showed that there is a bijection between (i) the set of rooted trees with vertices whose leaves are bijectively labeled with the elements of $[\ell]…
Subtree Distances, Tight Spans and Diversities
David Bryant, Katharina T. Huber, Vincent Moulton +1
Metric embeddings are central to metric theory and its applications. Here we consider embeddings of a different sort: maps from a set to subsets of a metric space so that distances…
Spaces of ranked tree-child networks
Vincent Moulton, Andreas Spillner
Ranked tree-child networks are a recently introduced class of rooted phylogenetic networks in which the evolutionary events represented by the network are ordered so as to respect…
Phylogenetic diversity indices from an affine and projective viewpoint
Vincent Moulton, Andreas Spillner, Kristina Wicke
Phylogenetic diversity indices are commonly used to rank the elements in a collection of species or populations for conservation purposes. The derivation of these indices is typica…
The space of equidistant phylogenetic cactuses
Katharina T. Huber, Vincent Moulton, Megan Owen +2
We introduce and investigate the space of \emph{equidistant} -\emph{cactuses}. These are rooted, arc weighted, phylogenetic networks with leaf set , where is a finite set…