ON THE SKEW SPECTRAL MOMENTS OF GRAPHS

چکیده مقاله

Let G be a simple graph, and G^s be an oriented graph of G with the orientation s and skew-adjacency matrix S(G^s). The k -th skew spectral moment of G^s, denoted by Tk(G^s), is defined as summation ofx_i^k where x_1 ; x_2 ; . . . ; x_n are the eigenvalues of G^s. If there exists an integer k, 0 < k < n+1 Suppose G^s_1 and G^S_2 are two digraphs.If there exists an integer k, 0 < k < n such that for each i, 0 < i < k , T_i(G_1^S_1)= T_i(G_2^S_2) and T_k(G_1 ) < T_k(G_2 ) then we write G_1 ≺T G_2 . In this paper, we determine some of the skewspectral moments of oriented graphs. Also we order some oriented unicyclic graphs with respect to skew spectral moment.