Maximal $m$-distance sets containing the representation of the Johnson graph $J(n,m)$

Eiichi Bannai, Takahiro Sato, Junichi Shigezumi

We classify the maximal $m$-distance sets in ${\mathbb{R}}^{n-1}$ which contain the representation of the Johnson graph $J(n,m)$ for $m=2,3$. Furthermore, we determine the necess…