Azarbaijan Shahid Madani University Communications in Combinatorics and Optimization 2538-2128 4 1 2019 06 01 New skew equienergetic oriented graphs 15 24 13786 10.22049/cco.2018.26286.1093 EN Xiangxiang Liu Department of Applied Mathematics, School of Science, Northwestern Polytechnical University, Xi'an, Shaanxi 710072, People's Republic of China Ligong Wang Department of Applied Mathematics, School of Science, Northwestern Polytechnical University, Xi'an, Shaanxi 710072, People's Republic of China. Cunxiang Duan Department of Applied Mathematics, School of Science, Northwestern Polytechnical University, Xi'an, Shaanxi 710072, People's Republic of China Journal Article 2018 07 03 Let $S(G^{\sigma})$ be the skew-adjacency matrix of the oriented graph $G^{\sigma}$, which is obtained from a simple undirected graph $G$ by assigning an orientation $\sigma$ to each of its edges. The skew energy of an oriented graph $G^{\sigma}$ is defined as the sum of absolute values of all eigenvalues of $S(G^{\sigma})$. Two oriented graphs are said to be skew equienergetic if their skew energies are equal. In this paper, we determine the skew spectra of some new oriented graphs. As applications, we give some new methods to construct new non-cospectral skew equienergetic oriented graphs. https://comb-opt.azaruniv.ac.ir/article_13786_f2e382fc36d6b753b4c6c9d7e3b92229.pdf