Abstract:
In [1] there were found intersection arrays of distance-regular graphs which have strongly regular neighbourhoods with second eigenvalue $t,$$2<t\le 3.$ Within the pale of the program of investigation of automorphisms of respective graphs possible orders and subgraphs of fixed points of automorphisms of a distance-regular graph with intersection array $\{115,96,16;1,8,92\}$ are found. In particular, it is proven that in the case of existence this graph is not vertex-symmetric.