(1) Department of Mathematics, Central Michigan University, Mt. Pleasant, MI 48859, USA
Abstract:
We investigate BIBDs with three intersection numbers,x, y, and z, such that the relation on the block set given byAB iff the cardinality of the intersectionof A and B is not equal to x is an equivalence relation. Withsuch a design, we associate a family of strongly regular graphswith the same parameters. Two constructions producing infinitefamilies of such designs are given.