# On the eigenvalues of normal edge-transitive Cayley graphs

Document Type: Research Paper

Author

Shahid Rajaee Teacher Training University

Abstract

A graph $\Gamma$ is said to be vertex-transitive or edge‎- ‎transitive‎
‎if the automorphism group of $Gamma$ acts transitively on $V(\Gamma)$ or $E(\Gamma)$‎, ‎respectively‎.
‎Let $\Gamma=Cay(G,S)$ be a Cayley graph on $G$ relative to $S$‎. ‎Then, $\Gamma$ is said to be normal edge-transitive‎,
‎if $N_{Aut(\Gamma)}(G)$ acts transitively on edges‎.
‎In this paper‎, ‎the eigenvalues of normal edge-transitive Cayley graphs of the groups $D_{2n}$ and $T_{4n}$ are given‎.

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### History

• Receive Date: 18 May 2013
• Revise Date: 15 December 2013
• Accept Date: 17 December 2013