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

Author:

Jost Jürgen,Liu Shiping

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,Discrete Mathematics and Combinatorics,Geometry and Topology,Theoretical Computer Science

Reference33 articles.

1. Bakry, D.: Functional inequalities for Markov semigroups. In: Dani, S.G., Graczyk, P. (eds.) Probability Measures on Groups: Recent Directions and Trends, pp. 91–147. Tata, Bombay (2006)

2. Lecture Notes in Math.;D. Bakry,1985

3. Bakry, D., Émery, M.: Hypercontractivité de semi-groupes de diffusion. C. R. Math. Acad. Sci. 299, 775–778 (1984)

4. Banerjee, A., Jost, J.: On the spectrum of the normalized graph Laplacian. Linear Algebra Appl. 428, 3015–3022 (2008)

5. Bauer, F., Jost, J.: Bipartite and neighborhood graphs and the spectrum of the normalized graph Laplacian. Commun. Anal. Geom. 21(4), 787–845 (2013). doi: 10.4310/CAG.2013.v21.n4.a2

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