4 papers · 1 filter
On Spheres with Points Inside
Herbert Edelsbrunner, Alexey Garber, Morteza Saghafian
We generalize the classic definition of Delaunay triangulation and prove that for a locally finite and coarsely dense generic point set, , the -simplic…
Chromatic Topological Data Analysis
Sebastiano Cultrera di Montesano, Ondrej Draganov, Herbert Edelsbrunner +1
Exploring the shape of point configurations has been a key driver in the evolution of TDA (short for topological data analysis) since its infancy. This survey illustrates the recen…
Banana Trees for the Persistence in Time Series Experimentally
Lara Ost, Sebastiano Cultrera di Montesano, Herbert Edelsbrunner
In numerous fields, dynamic time series data require continuous updates, necessitating efficient data processing techniques for accurate analysis. This paper examines the banana tr…
The Euclidean MST-ratio for Bi-colored Lattices
Sebastiano Cultrera di Montesano, Ondřej Draganov, Herbert Edelsbrunner +1
Given a finite set, , and a subset, , the \emph{MST-ratio} is the combined length of the minimum spanning trees of and …