| vertex count | edge count | connected component count tetrahedral graph | 4 | 6 | 1 5-wheel graph | 5 | 8 | 1 6-wheel graph | 6 | 10 | 1 7-wheel graph | 7 | 12 | 1 8-wheel graph | 8 | 14 | 1 9-wheel graph | 9 | 16 | 1 10-wheel graph | 10 | 18 | 1 11-wheel graph | 11 | 20 | 1 12-wheel graph | 12 | 22 | 1 13-wheel graph | 13 | 24 | 1