In k-Digraph Coloring we are given a digraph and asked to partition its vertices into at most k sets, so that each set induces DAG. This well-known problem is NP-hard, as it generalizes (undirected) k-Coloring, but becomes trivial if the input acyclic. poses natural parameterized complexity question of what happens when “almost” this paper study using parameters measure input’s distance acyclic...