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Lin-Lu-Yau introduced an interesting notion of Ricci curvature for graphs and obtained a complete characterization for all Ricci-flat graphs with girth at least five [1]. In this paper, we propose… Click to show full abstract
Lin-Lu-Yau introduced an interesting notion of Ricci curvature for graphs and obtained a complete characterization for all Ricci-flat graphs with girth at least five [1]. In this paper, we propose a concrete approach to construct an infinite family of distinct Ricci-flat graphs of girth four with edge-disjoint 4-cycles and completely characterize all Ricci-flat graphs of girth four with vertex-disjoint 4-cycles.
Keywords:
flat graphs;
ricci flat;
girth four;
graphs girth
Journal Title: Acta Mathematica Sinica, English Series
Year Published: 2021
Link to full text (if available)
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Journal Title: Acta Mathematica Sinica, English Series
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!