The Coefficients of Laplacian Characteristic Polynomial of Signed Graphs

چکیده مقاله

Let G^s be a signed graph, where G = (V;E) is the underlying simple graph and s : E(G) to {+1, -1} is the sign function. In this paper we consider the spectral characterization of signed graphs. We obtain k signed spectral moments and k signed Laplacian spectral moment of G^s and we determine some coefficients of their signed characteristic polynomial and signed Laplacian characteristic polynomial .