The EKR-Module Property of Pseudo-Paley Graphs of Square Order
The EKR-Module Property of Pseudo-Paley Graphs of Square Order
We prove that a family of pseudo-Paley graphs of square order obtained from unions of cyclotomic classes satisfies the Erd\H{o}s-Ko-Rado (EKR) module property, in a sense that the characteristic vector of each maximum clique is a linear combination of characteristic vectors of canonical cliques. This extends the EKR-module property of …