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arXiv · 2009.12814

Inner-Outer Curvatures, Ricci-Ollivier Curvature and Volume Growth of Graphs

Andrea Adriani·Alberto G. Setti
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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.

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Andrea Adriani, Alberto G. Setti. 2020-09-27. Inner-Outer Curvatures, Ricci-Ollivier Curvature and Volume Growth of Graphs. https://arxiv.org/abs/2009.12814

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