New skew Laplacian energy of a simple digraph

Qingqiong Cai, Xueliang Li, Jiangli Song

For a simple digraph $G$ of order $n$ with vertex set $\{v_1,v_2,\dots ,v_n\}$, let $d_i^{+}$ and $d_i^{-}$ denote the out-degree and in-degree of a vertex $v_i$ in $G$, respectively.…