Maximal diameter theorem for directed graphs of positive Ricci curvature

Abstract

In a previous work, the authors have introduced a Lin-Lu-Yau type Ricci curvature for directed graphs, and obtained a diameter comparison of Bonnet-Myers type. In this paper, we investigate rigidity properties for the equality case, and conclude a maximal diameter theorem of Cheng type.

14 pages, 3 figures

References in corpus (1)

• Inner-Outer Curvatures, Ricci-Ollivier Curvature and Volume Growth of Graphs

Cited by in corpus (1)

• Cheng maximal diameter theorem for hypergraphs