Maximal diameter theorem for directed graphs of positive Ricci curvature
Differential Geometry
2021-04-26 v2
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.
Keywords
Cite
@article{arxiv.2011.00755,
title = {Maximal diameter theorem for directed graphs of positive Ricci curvature},
author = {Ryunosuke Ozawa and Yohei Sakurai and Taiki Yamada},
journal= {arXiv preprint arXiv:2011.00755},
year = {2021}
}
Comments
14 pages, 3 figures