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

TL;DR

This paper addresses the intersection problem for 2-(v, 5, 1) directed block designs, extending previous work on designs with smaller block sizes, and provides solutions for this specific class of directed designs.

Contribution

The paper solves the intersection problem for 2-(v, 5, 1) directed designs, a case not previously addressed in the literature.

Findings

Determined intersection properties for 2-(v, 5, 1) directed designs.

Extended understanding of intersection problems in directed block designs.

Built upon prior solutions for smaller block sizes.

Abstract

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 Soltankhah in 1996, respectively. In this paper we determine the intersection problem for 2-(v, 5, 1) directed designs.