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arXiv · 2103.00941

Ricci-flat graphs with maximum degree at most 4

Shuliang Bai·Linyuan Lu·Shing-Tung Yau
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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.

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Shuliang Bai, Linyuan Lu, Shing-Tung Yau. 2021-03-01. Ricci-flat graphs with maximum degree at most 4. https://arxiv.org/abs/2103.00941

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