Bakry-Émery curvature functions of graphs

David Cushing, Shiping Liu, Norbert Peyerimhoff

We study the Bakry-Émery curvature function ${\mathcal{K}}_{G,x}:(0,\infty ]\to \mathbb{R}$ of a vertex $x$ in a locally finite graph $G$ systematically. Here $\mathcal{K}_{G,x}(\math…