The k-th spectral moment of signed complete graphs

Document Type : Research Paper

Authors

Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran

Abstract

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 graph whose negative edges induce the disjoint union of two distinct complete bipartite graphs.

Keywords

Journal of Algebra and Related Topics
Volume 7, Issue 1
June 2019
Pages 35-44

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