http://mathworld.i2p/KirchhoffIndex.html
The following table summarizes values of the Kirchhoff index for various special classes of graphs. graph class OEIS , , ... Andrásfai graph A000000 / A000000 1, 10, 134/7, 3080/109, 263599/7059, 5244806/113017, ... antiprism graph A000000 / A000000 X, X, 13/2, 290/21, 551/22, 41, ... Apollonian network A000000 / A000000 3, 834/85, 30154/475, 23555722/44125, 1259601793/263125, ... cocktail party graph A000000 / A000000 , 5, 13/2, 25/3, 41/4, 61/5, 85/6, 113/7, 145/8, 181/9, ... complete...