Curvature dimension inequalities on directed graphs

2017/01/06 by Yamada, Taiki
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1701.01510

Abstract

In this paper, we define the curvature dimension inequalities CD(m, K) on finite directed graphs modifying the case of undirected graphs. As a main result, we evaluate m and K on finite directed graphs.

Related

• Equivalent Properties of CD Inequality on Graph
• Curvature estimate on the finite graph with large girth
• Remarks on curvature dimension conditions on graphs
• Refined diameter bounds under curvature dimension conditions
• Bounds on curvature in regular graphs