Graphs with large girth and nonnegative curvature dimension condition

Abstract

In this paper, we classify unweighted graphs satisfying the curvature dimension condition CD(0,\infty) whose girth are at least five.

arXiv comment15 pages, 3 figures

References in corpus (6)

• Volume doubling, Poincaré inequality and Guassian heat kernel estimate for nonnegative curvature graphs
• Equivalent Properties of CD Inequality on Graph
• Remarks on curvature dimension conditions on graphs
• Properties for CD Inequalities with Unbounded Laplacians
• Stochastic completeness for graphs with curvature dimension conditions
• Bochner formula and Bernstein type estimates on locally finite graphs

Cited by in corpus (3)

• Graph Laplacians, Riemannian Manifolds and their Machine-Learning
• Ricci curvature on birth-death processes
• Curvature estimate on the finite graph with large girth