THE k-th SPECTRAL MOMENT OF SIGNED COMPLETE GRAPHS

Let γ = (g, σ) be a signed graph, where g is the underlying simple graph with at least one edge and σ : e(g) −→ {−, +} is the sign function on the edges of g. in this paper, we study the k-th spectral moment of (kn, σ), for a signature σ. also, we obtain the number of negative cycles in a signed complete graphwhose negative edges induce the disjoint union of two distinct complete bipartite graphs.