pith. machine review for the scientific record. sign in

arxiv: 1602.07779 · v6 · submitted 2016-02-25 · 🧮 math.CO

Recognition: unknown

The Ricci curvature on directed graphs

Taiki Yamada
Authors on Pith no claims yet
classification 🧮 math.CO
keywords curvaturedirectedriccigraphgraphscalculatecartesianconditions
0
0 comments X
read the original 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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Ollivier-Ricci Curvature of Riemannian Manifolds and Directed Graphs with Applications to Graph Neural Networks

    math.DG 2026-04 unverdicted novelty 4.0

    Ollivier-Ricci curvature is extended from manifolds and undirected graphs to directed graphs with applications to graph neural networks.