About the Metric Space of Merge Trees with the Edit Distance
Year: 2021
Type: preprint
Abstract: In this paper we consider the metric space of of merge trees endued with an edit distance and we start to study the properties of such space. This investigation is intended as a first step into a geometric understanding of this space, aiming at defining exploratory tools and statistical tools. In particular, we present some results about its topological properties and its geodesic structure, with particular attention to objects called Frech\`et Means.
Source: arXiv (Cornell University)
Author: M. Pegoraro
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W3209276780