The Ricci curvature on directed graphs
Combinatorics
2018-08-24 v6
Abstract
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.
Cite
@article{arxiv.1602.07779,
title = {The Ricci curvature on directed graphs},
author = {Taiki Yamada},
journal= {arXiv preprint arXiv:1602.07779},
year = {2018}
}
Comments
14 pages, 3 figures