On Cayley Graphs with Constant Ricci Curvature

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.