incidence matrix of a mixed graph

Question

I have read about incidence matrix of a mixed graph but without example. All examples I saw were either for undirected graphs or for directed graphs but not for mixed graph.

What will be the incidence matrix of the mixed graph below

Thank you.

Answer 1

You make $A_{i,j}$ equal the number of edges from $i$ to $j$.

$\begin{pmatrix} 0 & 1 & 0\\ 1 & 0 & 1\\ 1 & 0 & 0\\ \end{pmatrix}$