A note on Steinerberger's curvature for graphs
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arXiv
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| Auteurs principaux: | , , , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866912641331494912 |
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| author | Cushing, David Kamtue, Supanat Law, Erin Liu, Shiping Münch, Florentin Peyerimhoff, Norbert |
| author_facet | Cushing, David Kamtue, Supanat Law, Erin Liu, Shiping Münch, Florentin Peyerimhoff, Norbert |
| contents | In this note, we provide Steinerberger curvature formulas for block graphs, discuss curvature relations between two graphs and the graph obtained by connecting them via a bridge, and show that self-centered Bonnet-Myers sharp graphs are precisely those which are antipodal. We also discuss similarities and differences between Steinerberger and Ollivier Ricci curvature results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_17860 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A note on Steinerberger's curvature for graphs Cushing, David Kamtue, Supanat Law, Erin Liu, Shiping Münch, Florentin Peyerimhoff, Norbert Combinatorics Differential Geometry In this note, we provide Steinerberger curvature formulas for block graphs, discuss curvature relations between two graphs and the graph obtained by connecting them via a bridge, and show that self-centered Bonnet-Myers sharp graphs are precisely those which are antipodal. We also discuss similarities and differences between Steinerberger and Ollivier Ricci curvature results. |
| title | A note on Steinerberger's curvature for graphs |
| topic | Combinatorics Differential Geometry |
| url | https://arxiv.org/abs/2404.17860 |