Curvature aspects of graphs
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Abstract:
We prove the Lichnerowicz type lower bound estimates for finite connected graphs with positive Ricci curvature lower bound.References
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Additional Information
- F. Bauer
- Affiliation: Max Planck Institute for Mathematics in the Sciences, Inselstrasse 22, 04103 Leipzig, Germany
- MR Author ID: 880564
- F. Chung
- Affiliation: Department of Mathematics, University of California, San Diego, 9500 Gilman Drive, La Jolla, California 92093
- Y. Lin
- Affiliation: Department of Mathematics, Renmin University of China, Beijing 100872, People’s Republic of China
- Y. Liu
- Affiliation: Institute of Computational Mathematics and Scientific/Engineering Computing. Chinese Academy of Sciences, Beijing 100190, People’s Republic of China
- MR Author ID: 722058
- Received by editor(s): November 18, 2014
- Received by editor(s) in revised form: February 5, 2016
- Published electronically: January 11, 2017
- Additional Notes: The third author was the corresponding author and was supported by the National Natural Science Foundation of China (Grant No. $11271011$), the Fundamental Research Funds for the Central Universities, and the Research Funds of Renmin University of China ($11$XNI$004$)
- Communicated by: Lei Ni
- © Copyright 2017 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 145 (2017), 2033-2042
- MSC (2010): Primary 31C20, 31C05
- DOI: https://doi.org/10.1090/proc/13145
- MathSciNet review: 3611318