Ricci-flat graphs with maximum degree at most $4$

IF 0.5 4区数学 Q3 MATHEMATICS

Asian Journal of Mathematics Pub Date : 2021-03-01 DOI:10.4310/ajm.2021.v25.n6.a1

Shuliang Bai, Linyuan Lu, S. Yau

引用次数: 2

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 [5]. The authors in [4] and [2] 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: Ricci curvature, Ricci-flat graph, maximum degree

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最大度不超过$4的里奇平坦图

如果图的Ricci曲率在所有边上都消失，则称之为Ricci平坦图，这里图上Ricci曲率的定义是由Lin Lu Yau[5]给出的。作者在[4]和[2]中获得了所有周长至少为5的Ricci平面图的完整刻画。在本文中，我们完全确定了所有最大度为4的Ricci平面图。关键词：Ricci曲率，Ricci平面图，最大度

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Asian Journal of Mathematics 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Publishes original research papers and survey articles on all areas of pure mathematics and theoretical applied mathematics.