In [12], a family of so-called Peisert-type graphs is discussed. These graphs generalise Paley graphs of square order and the subclass of Peisert graphs discussed in Lecture 3, can also be viewed as fusions of certain amorphic cyclotomic association schemes and are important from the point of view of EKR properties since canonical cliques in these graphs can be naturally defined. In [13], it was recently shown that the EKR theorem for Paley graphs of square order extends to almost all pseudo-Paley graphs of Peisert-type.
In this final lecture we give a detailed description of recent results on extremal Peisert-type graphs without strict-EKR property presented in [14].