Title of article :
New skew equienergetic oriented graphs
Author/Authors :
Liu ، Xiangxiang Department of Applied Mathematics - School of Science - Northwestern Polytechnical University , Wang ، Ligong Department of Applied Mathematics - School of Science - Northwestern Polytechnical University , Duan ، Cunxiang Department of Applied Mathematics - School of Science - Northwestern Polytechnical University
Abstract :
Let S(G^σ) be the skew-adjacency matrix of the oriented graph ^Gσ, which is obtained from a simple undirected graph G by assigning an orientation to each of its edges. The skew energy of an oriented graph G^σ is de ned as the sum of absolute values of all eigenvalues of S(G^σ). 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.
Keywords :
Oriented graph , Skew energy , Skew equienergetic
Journal title :
Communications in Combinatorics and Optimization
Journal title :
Communications in Combinatorics and Optimization