The $ k $-${\rm \bf{ th}}$ spectral moment of signed complete graphs

	The $ k $-${\rm \bf{ th}}$ spectral moment of signed complete graphs
Journal of Algebra and Related Topics
مقاله 4، دوره 7، شماره 1، شهریور 2019، صفحه 35-44 اصل مقاله (293.46 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22124/jart.2019.13670.1150
نویسندگان
S. Dalvandi؛ F. Heydari^* ؛ M. Maghasedi
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran
چکیده
Let $\Gamma=(G,\sigma)$ be a signed graph, where $G$ is the underlying simple graph with at least one edge and $\sigma : E(G) \longrightarrow \lbrace -,+\rbrace$ is the sign function on the edges of $G$. In this paper, we study the $ k $-th spectral moment of $(K_n,\sigma)$, for a signature $\sigma$. 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.
کلیدواژه‌ها
Signed graph؛ complete bipartite graph؛ negative cycle

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