Intersections of \(2-(\nu,4,1)\) Directed Designs

E.S. Mahmocdian1, Nasrin Soltankhah1
1Department of Mathematical Sciences Sharif University of Technology P.O. Box 11865-9415 Tehran, I.R. Iran

Abstract

The intersection problem for a pair of transitive triple systems (or \(2-(\nu, 3, 1)\) directed designs) was solved by Lindner and Wallis, and independently by H.L. Fu, in 1982-1983. In this paper, we determine the intersection problem for a pair of \(2-(\nu, 4, 1)\) directed designs.