On torsion in eulerian magnitude homology of Erdös-Rényi random graphs
Abstract
In this paper we investigate the regimes where an Erdös-Rényi random graph has torsion-free eulerian magnitude homology groups. To this end, we start be introducing the eulerian Asao-Izumihara complex a quotient CW-complex whose homology groups are isomorphic to direct summands of the graph eulerian magnitude homology group. We then proceed by producing a vanishing threshold for a shelling of the eulerian Asao-Izumihara complex. This will lead to a result establishing the regimes where eulerian magnitude homology of Erdös-Rényi random graphs is torsion-free.
Fields of Study & Subjects
Topological and Geometric Data Analysis
Publication details
- Journal / source
- Homology Homotopy and Applications
- Publisher
- International Press of Boston
- Volume
- 28
- Issue
- 2
- Pages
- 107–122
- Publication date
- 1 January 2026
- Language
- EN