Automorphisms of Distance-Regular Graph with Intersection Array {39; 36; 4; 1; 1; 36}

Abstract

Makhnev and Nirova have found intersection arrays of distance-regular graphs with no more than 4096 vertices, in which λ=2 and μ=1. They proposed the program of investigation of distance-regular graphs with λ=2 and μ=1. In this paper the automorphisms of a distance-regular graph with intersection array {39,36,4;1,1,36} are studied.