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Given a graph $G$, let $G^\sigma$ be an oriented graph of $G$ with theorientation $\sigma$ and skew-adjacency matrix $S(G^\sigma)$. The skew energyof the oriented graph $G^\sigma$, denoted by $\mathcal{E}_S(G^\sigma)$, isdefined as the sum of the absolute values of all the eigenvalues of$S(G^\sigma)$. In this paper, we study the skew energy of random orientedgraphs and formulate an exact estimate of the skew energy for almost alloriented graphs by generalizing Wigner's semicircle law. Moreover, we considerthe skew energy of random regular oriented graphs $G_{n,d}^\sigma$, and get anexact estimate of the skew energy for almost all regular oriented graphs.

The skew energy of random oriented graphs