Supported by the NNSF of China (60776810,10871205);the NSF of Tianjin (08JCYBJC13900);the KYS of CAUC (09CAUC-S02)
Let F be a finite simple undirected graph with no isolated vertices. Let p, q be prime numbers with p≥q. We complete the classification of the graphs on which a group of order pq acts edge-transitively. The results a...