3 papers
math.CO2026
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…
cs.DM2025
Labeling and folding multi-labeled trees
Vincent Moulton, Andreas Spillner
In 1989 ErdÅs 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 $[\el…
math.MG2025
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…