On Cayley Graphs with Constant Ricci Curvature

Year 2024, Volume: 16 Issue: 1, 255 - 260, 30.06.2024

Mehmet Dağlı , Yonca Ünver

https://doi.org/10.47000/tjmcs.1492247

https://izlik.org/JA66PU36GK

Abstract

Understanding the geometry of graphs has become increasingly important. One approach utilizes the Ricci curvature introduced by Lin, Lu, and Yau, which offers a valuable isomorphism invariant for locally finite graphs. One of the key tools used in calculating curvatures is the matching condition. This paper exploits the matching condition to construct families of Cayley graphs exhibiting constant Ricci curvature.

Keywords

Ricci curvature , Matching Condition , Cayley graph

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