Distance-transitive strongly regular graphs

We present a complete description of strongly regular graphs admitting a distance-transitive group of automorphisms. Parts of the list have already appeared in the literature; however, this is the first time that the complete list appears in one place. The description is complemented, where possible, with the discussion of the corresponding distance-transitive groups and some further properties of the graphs. We also point out an open problem.

Automated summary

We provide a complete description of strongly regular graphs with a distance-transitive group of automorphisms. This is the first time that the complete list is presented in one place, although parts of it have been mentioned in previous literature. The description is complemented with discussions on the corresponding distance-transitive groups and additional properties of the graphs. An open problem is also pointed out.