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On the spectrum of Cayley graphs via character table | ||
| Journal of Discrete Mathematics and Its Applications | ||
| مقاله 1، دوره 4، 1-2، شهریور 2014، صفحه 1-11 اصل مقاله (1.27 M) | ||
| نوع مقاله: Full Length Article | ||
| شناسه دیجیتال (DOI): 10.22061/jmns.2014.477 | ||
| نویسندگان | ||
| Farzaneh Nowroozi؛ Modjtaba Ghorbani | ||
| Department of Mathematics, Faculty of Science, Shahid RajaeeTeacher Training University, Tehran, 16785 – 136, I R. Iran | ||
| تاریخ دریافت: 15 تیر 1392، تاریخ بازنگری: 22 بهمن 1392، تاریخ پذیرش: 11 خرداد 1393 | ||
| چکیده | ||
| A Cayley graph can be consider as an interpretation of group representation. This means that one can construct the Cayley graph Г = Cay(G, S) by having the vertex set to be the elements of G with g~h if and only if hg-1 ε S. In this paper, we focus our attention on Cayley graphs with a normal symmetric subset. We also determine all eigenvalues of Buckminster fullerene by constructing Cay(G,S) where G is the alternating group A5. | ||
| کلیدواژه‌ها | ||
| eigenvalue؛ Cayley graph؛ characteristic polynomial | ||
| مراجع | ||
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