Class-uniformly resolvable pairwise balanced designs with block sizes two and three

AbstractA class-uniformly resolvable pairwise balanced design CURD(K; p, r) is a pairwise balanced design (of index 1) on p points, with block sizes from the set K, whose block set can be resolved into r parallel classes, each parallel class containing a fixed number ak of blocks of size k ϵ K. We indicate why such design arise and give some examples for K = {2, 3}