4 papers · 1 filter
Injective split systems
M. Hellmuth, K. T. Huber, V. Moulton +2
A split system on a finite set , , is a set of bipartitions or splits of which contains all splits of the form , . To any such…
Resolving Prime Modules: The Structure of Pseudo-cographs and Galled-Tree Explainable Graphs
Marc Hellmuth, Guillaume E. Scholz
The modular decomposition of a graph is a natural construction to capture key features of in terms of a labeled tree whose vertices are labeled as "series" (), "…
Compatible split systems on a multiset
Vincent Moulton, Guillaume E. Scholz
A split system on a multiset is a set of bipartitions of . Such a split system is compatible if it can be represented by a tree in such a way…
Forest-based networks
Katharina T. Huber, Vincent Moulton, Guillaume E. Scholz
In evolutionary studies it is common to use phylogenetic trees to represent the evolutionary history of a set of species. However, in case the transfer of genes or other genetic in…