A note on Steinerberger's curvature for graphs
Combinatorics
2025-10-14 v1 Differential Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.2404.17860,
title = {A note on Steinerberger's curvature for graphs},
author = {David Cushing and Supanat Kamtue and Erin Law and Shiping Liu and Florentin Münch and Norbert Peyerimhoff},
journal= {arXiv preprint arXiv:2404.17860},
year = {2025}
}