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arXiv 1602.07779math.CO
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有向图上的里奇曲率

The Ricci curvature on directed graphs

Taiki Yamada

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。

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