19 citations · 38 across the 13 of their papers we have counts for
6 papers · 1 filter
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…
Phylogenetic consensus networks: Computing a consensus of 1-nested phylogenetic networks
Katharina T. Huber, Vincent Moulton, Andreas Spillner
An important and well-studied problem in phylogenetics is to compute a \emph{consensus tree} so as to summarize the common features within a collection of rooted phylogenetic trees…
UPGMA and the normalized equidistant minimum evolution problem
Vincent Moulton, Andreas Spillner, Taoyang Wu
UPGMA (Unweighted Pair Group Method with Arithmetic Mean) is a widely used clustering method. Here we show that UPGMA is a greedy heuristic for the normalized equidistant minimum e…
When can splits be drawn in the plane?
Monika Balvočiūtė, David Bryant, Andreas Spillner
Split networks are a popular tool for the analysis and visualization of complex evolutionary histories. Every collection of splits (bipartitions) of a finite set can be represented…