Typical structure of oriented graphs and digraphs with forbidden blow-up transitive triangle

In this work, we establish an analogue result of the Erd"os-Stone theorem of weighted digraphs using Regularity Lemma of digraphs. We give a stability result of oriented graphs and digraphs with forbidden blow-up transitive triangle and show that almost all oriented graphs and almost all digraphs with forbidden blow-up transitive triangle are almost bipartite respectively.