有向图上的里奇曲率
The Ricci curvature on directed graphs
摘要:
本文基于Lin-Lu-Yau的定义,研究了有向图的里奇曲率.给出了里奇曲率的一些性质,包括有向正则图为Ricci平坦图的条件.此外,我们还计算了有向图的笛卡儿积的里奇曲率。
英文摘要:
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.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。