Curvature estimate on the finite graph with large girth

2016/09/27 by Yijin Gao, Gao, Yijin · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Combinatorics (math.CO) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.1609.08964

openalex publication_date 2016/09/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The CD inequalities and CDE inequalities are useful in the estimate of curvature on graphs. This article is based on the ufinite graph with large girth, and finally concludes some curvature estimate in CD and CDE.

Citations

• Graphs with large girth and nonnegative curvature dimension condition

Cited by

• Li-Yau inequality under CD(0,n) on graphs

Related

• Equivalent Properties of CD Inequality on Graph
• Curvature dimension inequalities on directed graphs
• Graphs with large girth and nonnegative curvature dimension condition
• Remarks on curvature dimension conditions on graphs
• Refined diameter bounds under curvature dimension conditions