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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 modelgraph, then it has faster volume growth too. We also study the relationhips ofvolume growth with other kind of curvatures, such as the Ollivier-Riccicurvature.

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