Ricci-flat graphs with maximum degree at most 4
Differential Geometry
2021-05-11 v2 Combinatorics
Abstract
A graph is called Ricci-flat if its Ricci curvatures vanish on all edges, here the definition of Ricci curvature on graphs was given by Lin-Lu-Yau. The authors in arXiv:1301.0102 and arXiv:1802.02982 obtained a complete characterization for all Ricci-flat graphs with girth at least five. In this paper, we completely determined all Ricci-flat graphs with maximum degree at most 4.
Keywords
Cite
@article{arxiv.2103.00941,
title = {Ricci-flat graphs with maximum degree at most 4},
author = {Shuliang Bai and Linyuan Lu and Shing-Tung Yau},
journal= {arXiv preprint arXiv:2103.00941},
year = {2021}
}
Comments
Notes of Ricci flat graphs with maximum degree at most 4.Proofs are in separated notes