On the eigenvalues of Cayley graphs on generalized dihedral groups
نویسندگان
چکیده مقاله:
Let $Gamma$ be a graph with adjacency eigenvalues $lambda_1leqlambda_2leqldotsleqlambda_n$. Then the energy of $Gamma$, a concept defined in 1978 by Gutman, is defined as $mathcal{E}(G)=sum_{i=1}^n|lambda_i|$. Also the Estrada index of $Gamma$, which is defined in 2000 by Ernesto Estrada, is defined as $EE(Gamma)=sum_{i=1}^ne^{lambda_i}$. In this paper, we compute the eigenvalues, energy and Estrada index of Cayley graphs on generalized dihedral groups. As an application, we compute these items for honeycomb toroidal graphs and Cayley graphs on dihedral groups.
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عنوان ژورنال
دوره 6 شماره 2
صفحات 39- 45
تاریخ انتشار 2019-08-01
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