%0 Journal Article %T ON THE SPECTRUM OF DERANGEMENT GRAPHS OF ORDER A PRODUCT OF THREE PRIMES %J Journal of Algebraic Systems %I Shahrood University of Technology %Z 2345-5128 %A Ghorbani, Modjtaba %A Rajabi-Parsa, Mina %D 2019 %\ 01/01/2019 %V 6 %N 2 %P 81-89 %! ON THE SPECTRUM OF DERANGEMENT GRAPHS OF ORDER A PRODUCT OF THREE PRIMES %K permutation groups %K graph eigenvalues %K Frobenius group %R 10.22044/jas.2018.6636.1328 %X A permutation with no fixed points is called a derangement. The subset $\mathcal{D}$ of a permutation group is derangement if all elements of $\mathcal{D}$ are derangement. Let $G$ be a permutation group, a derangementgraph is one with vertex set $G$ and derangement set $\mathcal{D}$ as connecting set. In this paper, we determine the spectrum of derangement graphs of order a product of three primes. %U https://jas.shahroodut.ac.ir/article_1359_9e89cef5779fab48c5efd555244f3eb7.pdf