Title of article :
THE k-th SPECTRAL MOMENT OF SIGNED COMPLETE GRAPHS
Author/Authors :
dalvandi, soudabeh islamic azad university, karaj branch - department of mathematics, Karaj, Iran , heydari, farideh islamic azad university, karaj branch - department of mathematics, Karaj, Iran , maghasedi, mohammad islamic azad university, karaj branch - department of mathematics, Karaj, Iran
Abstract :
Let Γ = (G, σ) be a signed graph, where G is the un derlying 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 com plete bipartite graphs.
Keywords :
Signed graph , Complete bipartite graph , Negative cycle
Journal title :
Journal of Algebra and Related Topics
Journal title :
Journal of Algebra and Related Topics