The complement of a digraph has the same vertex set as the original digraph,and an arc
Chapter 3, Problem 17(choose chapter or problem)
The complement of a digraph has the same vertex set as the original digraph,and an arc from x to y exactly when the original digraph does not have an arcfrom x to y. The two digraphs shown below are complementary. Call adigraph symmetric (transitive) its relation is symmetric (transitive). a) Show that the complement of a symmetric digraph is symmetric.(b) Show by example that the complement of a transitive digraph need notbe transitive.
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer