What are the best known Graph-Isomorphism algorithms for  below graph classes- 1.vertex-transitive,  2. edge-transitive,  3.arc-transitive (or symmetric) 4.distance-transitive.Are they GI Complete?Provide run-times/time complexity of algorithm, if possible.Related post: This question was asked on MSE.
Graph Isomorphism Algorithm of Vertex Transistive Graphs and other
graph theory;graph algorithms;reductions;graph isomorphism