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New skew equienergetic oriented graphs | ||
| Communications in Combinatorics and Optimization | ||
| مقاله 2، دوره 4، شماره 1، شهریور 2019، صفحه 15-24 اصل مقاله (413.76 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2018.26286.1093 | ||
| نویسندگان | ||
| Xiangxiang Liu1؛ Ligong Wang* 2؛ Cunxiang Duan3 | ||
| 1Department of Applied Mathematics, School of Science, Northwestern Polytechnical University, Xi'an, Shaanxi 710072, People's Republic of China | ||
| 2Department of Applied Mathematics, School of Science, Northwestern Polytechnical University, Xi'an, Shaanxi 710072, People's Republic of China. | ||
| 3Department of Applied Mathematics, School of Science, Northwestern Polytechnical University, Xi'an, Shaanxi 710072, People's Republic of China | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Oriented graph؛ Skew energy؛ Skew equienergetic | ||
| مراجع | ||
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