Shahrood University of TechnologyJournal of Algebraic Systems2345-51286220190101ON THE SPECTRUM OF DERANGEMENT GRAPHS OF ORDER A PRODUCT OF THREE PRIMES8189135910.22044/jas.2018.6636.1328ENModjtaba GhorbaniDepartment of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training
University, 16785–136, Tehran, Iran.Mina Rajabi-ParsaDepartment of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training
University, 16785–136, Tehran, Iran.Journal Article20180113A permutation with no fixed points is called a derangement.<br />The subset $mathcal{D}$ of a permutation group is derangement if all elements of $mathcal{D}$ are derangement.<br />Let $G$ be a permutation group, a derangement<br />graph 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.<br /><br />http://jas.shahroodut.ac.ir/article_1359_9e89cef5779fab48c5efd555244f3eb7.pdf