Probabilistic Extensions of the Erd\H os-Ko-Rado Property

Anna Celaya, Anant P. Godbole, Mandy Rae Schleifer

The classical Erd\H os-Ko-Rado (EKR) Theorem states that if we choose a family of subsets, each of size (k), from a fixed set of size (n (n > 2k)), then the largest possible pairwi…