论文标题

阳性RICCI曲率的有向图的最大直径定理

Maximal diameter theorem for directed graphs of positive Ricci curvature

论文作者

Ozawa, Ryunosuke, Sakurai, Yohei, Yamada, Taiki

论文摘要

在先前的工作中,作者为有向图引入了lin-lu-yau类型的RICCI曲率,并获得了引擎盖的直径比较。在本文中,我们研究了平等案例的刚性特性,并得出结论Cheng类型的最大直径定理。

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.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源