The Ricci curvature on directed graphs

The Ricci curvature on directed graphs
复制标题

DOI：
10.4134/jkms.j180088
复制
发表时间：
2016-02
期刊：
arXiv: Combinatorics
影响因子：
--
通讯作者：
Taiki Yamada
Taiki Yamada
中科院分区：
其他
文献类型：
--
作者：
Taiki Yamada

文献摘要

相似文献

本文基于Lin-Lu-Yau的定义，考虑了有向图的Ricci曲率。给出了里奇曲率的一些性质，包括有向正则图是里奇平坦的条件。此外，我们还计算了有向图笛卡尔积的Ricci曲率。
In this paper, we consider the Ricci curvature of a directed graph, based on Lin-Lu-Yau's definition. We give some properties of the Ricci curvature, including conditions for a directed regular graph to be Ricci-flat. Moreover, we calculate the Ricci curvature of the cartesian product of directed graphs.