let $g$ be a simple graph with an orientation $sigma$, which assigns to each edge a direction so that $g^sigma$ becomes a directed graph. $g$ is said to be the underlying graph of the directed graph $g^sigma$. in this paper, we define a weighted skew adjacency matrix with rand'c weight, the skew randi'c matrix ${bf r_s}(g^sigma)$, of $g^sigma$ as the real skew symmetric mat...
