A note on Steinerberger's curvature for graphs

A note on Steinerberger's curvature for graphs

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 similariti...

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Hauptverfasser: Cushing, David, Kamtue, Supanat, Law, Erin, Liu, Shiping, Münch, Florentin, Peyerimhoff, Norbert
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Combinatorics
Mathematics - Differential Geometry
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Zusammenfassung: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.
DOI:10.48550/arxiv.2404.17860