Electricity, Complex Systems, Numerical Analysis, Algorithms, Network.
topology matrix is introduced. Here is how the topology matrix [N] is constructed. For every line, we define its direction. Then, entry [N]_ij of the matrix [N] would be 1 if the i-th arrow starts from the j-th node, -1 if it ends at the j-th node, 0 if otherwise. The direction of the arrows are