Tetrahedral Johnson Graph -- from Wolfram MathWorld

A Johnson graph of the from (with ) is known as an -tetrahedral graph. To avoid confusion with the tetrahedral graph , such graphs are known in this work as tetrahedral Jonson graphs. The tetrahedral Johnson graphs are distance-regular and geometric.

The 6-tetrahedral Johnson graph is a distance-regular graph with intersection array , and therefore also a Taylor graph.