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On the energy of non-commuting graphs | ||
Journal of Linear and Topological Algebra | ||
مقاله 4، دوره 06، شماره 02، تیر 2017، صفحه 135-146 اصل مقاله (126.74 K) | ||
نوع مقاله: Research Paper | ||
نویسندگان | ||
M. Ghorbani* ؛ Z. Gharavi-Alkhansari | ||
Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training University, Tehran, 16785-136, Iran | ||
چکیده | ||
For given non-abelian group G, the non-commuting (NC)-graph $\Gamma(G)$ is a graph with the vertex set $G$\ $Z(G)$ and two distinct vertices $x, y\in V(\Gamma)$ are adjacent whenever $xy \neq yx$. The aim of this paper is to compute the spectra of some well-known NC-graphs. | ||
کلیدواژهها | ||
Non-commuting graph؛ Characteristic polynomial؛ linear group | ||
مراجع | ||
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[7] B. H. Neumann, A problem of Paul Erd˝os on groups, J. Austral. Math. Soc. Ser. A. 21 (1976). 467-472. | ||
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