On torsion in eulerian magnitude homology of Erdos-Renyi random graphs
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866917841875238912 |
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| author | Menara, Giuliamaria |
| author_facet | Menara, Giuliamaria |
| contents | In this paper we investigate the regimes where an Erdos-Renyi 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 eulerian Asao-Izumihara complex. This will lead to a result establishing the regimes where eulerian magnitude homology of Erdos-Renyi random graphs is torsion free. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_03472 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On torsion in eulerian magnitude homology of Erdos-Renyi random graphs Menara, Giuliamaria Combinatorics Algebraic Topology Probability In this paper we investigate the regimes where an Erdos-Renyi 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 eulerian Asao-Izumihara complex. This will lead to a result establishing the regimes where eulerian magnitude homology of Erdos-Renyi random graphs is torsion free. |
| title | On torsion in eulerian magnitude homology of Erdos-Renyi random graphs |
| topic | Combinatorics Algebraic Topology Probability |
| url | https://arxiv.org/abs/2409.03472 |