Properties for CD Inequalities with Unbounded Laplacians

Abstract

The CD equalities were introduced to imply the gradient estimate of laplace operator on graphs. This article is based on the unbounded Laplacians, and finally concludes some equivalent properties of the CD(K,$\infty$)and CD(K,n).

12 pages

Cited by in corpus (4)

• Bakry-Emery curvature and diameter bounds on graphs
• Distance bounds for graphs with some negative Bakry-Émery curvature
• Graphs with large girth and nonnegative curvature dimension condition
• Combinatorial, Bakry-Émery, Ollivier's Ricci curvature notions and their motivation from Riemannian geometry