Title of article
On the eigenvalues of Cayley graphs on generalized dihedral groups
Author/Authors
Afshari, Fatemeh Department of Mathematics- Karaj Branch, Islamic Azad University, Karaj, Iran , Maghasedi, Mohammad Department of Mathematics- Karaj Branch, Islamic Azad University, Karaj, Iran
Pages
7
From page
39
To page
45
Abstract
Let Γ
be a graph with adjacency eigenvalues λ1≤λ2≤…≤λn. Then the energy of Γ, a concept defined in 1978 by Gutman, is defined as E(G)=∑ni=1|λi|. Also the Estrada index of Γ, which is defined in 2000 by Ernesto Estrada, is defined as EE(Γ)=∑ni=1eλi.
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.
Keywords
Eigenvalue , Semi-Cayley graph , Cayley graph , Estrada index , Energy of graph
Journal title
Astroparticle Physics
Serial Year
2019
Record number
2451919
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