… In this paper we characterize vertex-transitive graphs with pq vertices, whose
automorphism group contains an imprimitive subgroup. As a consequence of the
classification of simple groups, no simply primitive group of degree 2p, wherep is a prime
greater than 5, exists [7]. This, together with the results proved in [1,8], takes care of … In our
discussion of vertex-transitive pq-graphs we shall be assuming throughout the paper that p
is the larger prime. We shall then say that a vertex-transitive pq-graph is p-imprimitive if its …

Characterizing vertex-transitive pq-graphs with an imprimitive automorphism subgroup …
Characterizing vertex-transitive pq-graphs with an imprimitive automorphism subgroup …
Automorphism group …