%0 Journal Article %T COMPUTING THE EIGENVALUES OF CAYLEY GRAPHS OF ORDER p2q %J Journal of Algebraic Systems %I Shahrood University of Technology %Z 2345-5128 %A Ghorbani, M. %A Seyyed-Hadi, A. %A Nowroozi-Larki, F. %D 2020 %\ 01/01/2020 %V 7 %N 2 %P 189-203 %! COMPUTING THE EIGENVALUES OF CAYLEY GRAPHS OF ORDER p2q %K symmetric graph %K Cayley graph %K normal graph %K arc-transitive graph %R 10.22044/jas.2019.7034.1344 %X A graph is called symmetric if its full automorphism group acts transitively on the set of arcs. The Cayley graph $\Gamma=Cay(G,S)$ on group $G$ is said to be normal symmetric if $N_A(R(G))=R(G)\rtimes Aut(G,S)$ acts transitively on the set of arcs of $\Gamma$. In this paper, we classify all connected tetravalent normal symmetric Cayley graphs of order $p^2q$ where $p>q$ are prime numbers. %U https://jas.shahroodut.ac.ir/article_1589_29d397f1277733df32fcf3acd511405d.pdf