On oriented graphs with minimal skew energy

Shicai Gong, Xueliang Li, Guanghui Xu

Let $S(G^{\sigma })$ be the skew-adjacency matrix of an oriented graph $G^{\sigma }$. The skew energy of $G^{\sigma }$ is defined as the sum of all singular values of its skew-adjacency matrix $S(G^{\sigma })$. I…