A root graph that is locally the line graph of the Petersen graph Original Research Article

We construct a root graph on 192 vertices that is locally the line graph of the Petersen graph, a new distance-regular graph on 96 vertices (with intersection array {15,10,1;1,2,15} and automorphism group 24.Sym(6)), and several new strongly regular graphs (with parameters (v,k,λ,μ)=(96,20,4,4) and (96,19,2,4)) and square 2-(96,20,4) designs.