ON THE SKEW SPECTRAL MOMENTS OF GRAPHS

Let G be a simple graph, and G be an oriented graph of G with the orientation and skew-adjacency matrix S(G). The k-th skew spectral moment of G, denoted by Tk(G), is dened as Σn i=1(i)k, where 1; 2; ; n are the eigenvalues of G. Suppose G1 1 and G2 2 are two digraphs. If there exists an integer k, 1 k n 􀀀 1, such that for each i, 0 i k 􀀀 1, Ti(G1 1 ) = Ti(G2 2 ) and Tk(G1 1 ) < Tk(G2 2 ) then we write G1 1 ≺T G2 2 . In this paper, we determine some of the skew spectral moments of oriented graphs. Also we order some oriented unicyclic graphs with respect to skew spectral moment.