4.0 Article

RICCI CURVATURE OF GRAPHS

Journal

TOHOKU MATHEMATICAL JOURNAL
Volume 63, Issue 4, Pages 605-627

Publisher

TOHOKU UNIVERSITY
DOI: 10.2748/tmj/1325886283

Keywords

Ricci curvature of graphs; Cartesian product; random graphs

Categories

Funding

  1. National Natural Science Foundation of China [10871202]
  2. NSF [DMS 0701111, DMS 1000475]
  3. Direct For Mathematical & Physical Scien
  4. Division Of Mathematical Sciences [1000475, 804454] Funding Source: National Science Foundation

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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.

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