Curvature aspects of graphs

DOI10.1090/proc/13145zbMath1361.31013OpenAlexW2567432736WikidataQ125791355 ScholiaQ125791355MaRDI QIDQ2964035

Yong Lin, Y. Liu, Frank Bauer, Fan R. K. Chung

Publication date: 22 February 2017

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/13145

zbMATH Keywords

eigenvalue estimateRicci curvature on graphs

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Discrete potential theory (31C20)

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Cites Work

• Unnamed Item
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• Logarithmic Harnack inequalities
• Ricci curvature of graphs
• Ricci curvature of Markov chains on metric spaces
• Dirichlet forms and symmetric Markov processes
• Optimal transportation and applications. Lectures given at the C. I. M. E. summer school, Martina Franca, Italy, September 2--8, 2001
• Ricci curvature and eigenvalue estimate on locally finite graphs
• Li-Yau inequality on graphs