Classification of α-Ricci flat graphs with girth at least five

Lin, Lu and Yau classified Ricci flat graphs with girth at least 5 in Lin et al., 2014 [7] and Cushing et al., 2018 [4,5]. In Lin et al., 2014, they defined α-Ricci curvature for the definition of Ricci curvature. We will classify α-Ricci flat graphs with girth at least 5 for all α∈(0,1).