Inner-Outer Curvatures, Ricci-Ollivier Curvature and Volume Growth of Graphs
Differential Geometry
2020-09-29 v1
Abstract
We are concerned with the study of different notions of curvature on graphs. We show that if a graph has stronger inner-outer curvature growth than a model graph, then it has faster volume growth too. We also study the relationhips of volume growth with other kind of curvatures, such as the Ollivier-Ricci curvature.
Cite
@article{arxiv.2009.12814,
title = {Inner-Outer Curvatures, Ricci-Ollivier Curvature and Volume Growth of Graphs},
author = {Andrea Adriani and Alberto G. Setti},
journal= {arXiv preprint arXiv:2009.12814},
year = {2020}
}