$3$-Regular mixed graphs with optimum Hermitian energy

Xiaolin Chen, Xueliang Li, Yingying Zhang

Let $G$ be a simple undirected graph, and $G^{\varphi }$ be a mixed graph of $G$ with the generalized orientation $\varphi$ and Hermitian-adjacency matrix $H(G^{\varphi })$. Then $G$ is called the underly…