Sophie Rosenmeier

collaborators

3 papers

cs.CG2026

Lunar Generalizations of the Euclidean Minimum Spanning Tree in the Plane and their Expected Costs

Ondřej Draganov, Herbert Edelsbrunner, Sophie Rosenmeier +1

Motivated by the recent introduction of chromatic persistent homology, we generalize the Euclidean minimum spanning tree (EMST) for $n$ points in $R^{2}$ to the lunar EMST f…

math.PR2025

Expected Length of the Euclidean Minimum Spanning Tree and 1-norms of Chromatic Persistence Diagrams in the Plane

Ondřej Draganov, Herbert Edelsbrunner, Sophie Rosenmeier +1

Let $c$ be the constant such that the expected length of the Euclidean minimum spanning tree of $n$ random points in the unit square is $c n$ in the limit, when $n$ goes to…

math.MG2025

Gromov-Hausdorff distance between chromatic metric pairs and stability of the six-pack

Ondřej Draganov, Sophie Rosenmeier, Nicolò Zava

Chromatic metric pairs consist of a metric space and a coloring function partitioning a subset thereof into various colors. It is a natural extension of the notion of chromatic poi…