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Long-scale Ollivier Ricci crvature of graphs.

Cushing, D. and Kamtue, S. (2019) 'Long-scale Ollivier Ricci crvature of graphs.', Analysis and geometry in metric spaces., 7 (1). pp. 22-44.


We study the long-scale Ollivier Ricci curvature of graphs as a function of the chosen idleness. Similarly to the previous work on the short-scale case, we show that this idleness function is concave and piecewise linear with at most 3 linear parts. We provide bounds on the length of the first and last linear pieces. We also study the long-scale curvature for the Cartesian product of two regular graphs.

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Publisher statement:© 2019 D. Cushing and S. Kamtue, published by De Gruyter. This work is licensed under the Creative Commons Attribution alone 4.0 License.
Date accepted:No date available
Date deposited:03 July 2019
Date of first online publication:24 May 2019
Date first made open access:No date available

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