论文标题
Cayley图，二面体组，广义季节和环状基团的曲线曲率曲率
Ollivier Ricci curvature of Cayley graphs for dihedral groups, generalized quaternion groups, and cyclic groups
论文作者
论文摘要
Lin，Lu和Yau在简单的无向图中表达了边缘的Ricci曲率[2]。使用它们的配方，我们计算了二面体组，通用四基因组和带有某些生成集的循环基团的Cayley图的RICCI曲率，以使它们的基数小于或等于四。 For the dihedral group and the general quaternion group, we obtained the Ricci curvatures of all edges of the Cayley graph with generator sets consisting of the four elements that are the two generators defining each group and their inverses elements.For the cyclic group (Z/nZ, +), we have the Ricci curvatures of edges of the Cayley graph generating by S_{1, k} = {+1，-1， +k，-k}。
Lin, Lu, and Yau formulated the Ricci curvature of edges in simple undirected graphs[2]. Using their formulations, we calculate the Ricci curvatures of Cayley graphs for the dihedral groups, the general quaternion groups, and cyclic groups with some generating sets that are chosen so that their cardinal numbers are less than or equal to four. For the dihedral group and the general quaternion group, we obtained the Ricci curvatures of all edges of the Cayley graph with generator sets consisting of the four elements that are the two generators defining each group and their inverses elements.For the cyclic group (Z/nZ, +), we have the Ricci curvatures of edges of the Cayley graph generating by S_{1, k} = {+1, -1, +k, -k}.
