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Ricci curvature of graphs

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2011Publisher:Mathematical Institute, Tohoku UniversityJournal:Tohoku Mathematical Journal, volume 63 (issn: 0040-8735,

Authors: Lin, Yong; Lu, Linyuan; Yau, Shing-Tung;

doi: 10.2748/tmj/1325886283

Ricci curvature of graphs

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Abstract

We modify the definition of Ricci curvature of Ollivier of Markov chains on graphs to study the properties of the Ricci curvature of general graphs, Cartesian product of graphs, random graphs, and some special class of graphs.

Related Organizations

University of South Carolina Lancaster
United States
Renmin University of China
China (People's Republic of)
Harvard University
United States

Keywords

05C81, 05C80, Cartesian product, Ricci curvature of graphs, random graphs, 05C99

Impact byBIP!

	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	158
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 1%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 1%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Top 10%

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158

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Top 10%

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Fields of Science