2 problems

Let $\overleftrightarrow{K_n}$ be the complete symmetric digraph on $n$ vertices. Write $\chi'_{D_{2}}(\overleftrightarrow{K_n})$ for its distinguishing proper arc-colouring number…

Let $\overleftrightarrow{K_n}$ be the digraph obtained from the complete graph $K_n$ by replacing each edge with two oppositely directed arcs and adding a directed loop at each ver…