Abstract
Let S(Gσ) be the skew-adjacency matrix of the oriented graph Gσ, which is obtained from a simple undirected graph G by assigning an orientation σ to each of its edges. The skew energy of an oriented graph Gσ is defined as the sum of absolute values of all eigenvalues of S(Gσ). 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.
Original language | English |
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Pages (from-to) | 15-24 |
Number of pages | 10 |
Journal | Communications in Combinatorics and Optimization |
Volume | 4 |
Issue number | 1 |
DOIs | |
State | Published - Dec 2019 |
Keywords
- Oriented graph
- Skew energy
- Skew equienergetic