𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Ollivier’s Ricci Curvature, Local Clustering and Curvature-Dimension Inequalities on Graphs

✍ Scribed by Jost, Jürgen; Liu, Shiping


Book ID
125348038
Publisher
Springer
Year
2013
Tongue
English
Weight
696 KB
Volume
51
Category
Article
ISSN
0179-5376

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We generalise for a general symmetric elliptic operator the different notions of dimension, diameter, and Ricci curvature, which coincide with the usual notions in the case of the Laplace Beltrami operators on Riemannian manifolds. If \* 1 denotes the spectral gap, that is the first nonzero eigenval