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The intersection problem for a pair of 2-(v, 3, 1) directed designs and 2-(v,4, 1) directed designs is solved by Fu in 1983 and by Mahmoodian and Soltankhahin 1996, respectively. In this paper we determine the intersection problem for2-(v, 5, 1) directed designs.

The Intersection problem for 2-(v; 5; 1) directed block designs