Eigenvalues of the Cayley Graph of Some Groups with respect to a Normal Subset
نویسنده
چکیده مقاله:
Set X = { M11, M12, M22, M23, M24, Zn, T4n, SD8n, Sz(q), G2(q), V8n}, where M11, M12, M22, M23, M24 are Mathieu groups and Zn, T4n, SD8n, Sz(q), G2(q) and V8n denote the cyclic, dicyclic, semi-dihedral, Suzuki, Ree and a group of order 8n presented by V8n = < a, b | a^{2n} = b^{4} = e, aba = b^{-1}, ab^{-1}a = b>,respectively. In this paper, we compute all eigenvalues of Cay(G,T), where G in X and T is minimal, second minimal, maximal or second maximal normal subset of G{e} with respect to its size. In the case that S is a minimal normal subset of G{e}, the summation of the absolute value of eigenvalues, energy of the Cayley graph, are evaluated.
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عنوان ژورنال
دوره 2 شماره 2
صفحات 193- 207
تاریخ انتشار 2017-12-01
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