3-Group divisible designs with block size 4 and 2 groups
Date
2019-08
Authors
Bezire, Wilbroad
Journal Title
Journal ISSN
Volume Title
Publisher
Strathmore University
Abstract
One of the main problems in design theory is to find construction methods to obtain unknown
designs. In this paper we give fundamental constructions of group divisible SBS designs with
block size 4 and 2 groups. We give necessary conditions for their existence and prove that these
conditions are sufficient. We use tools from graph theory and finite fields, for example-designs,
Steiner quadruple systems (SQSs), 1 and 2-factorisations of complete graphs.
Description
Paper presented at the 5th Strathmore International Mathematics Conference (SIMC 2019), 12 - 16 August 2019, Strathmore University, Nairobi, Kenya
Keywords
Group divisible designs, Steiner quadruple system, 2- factorization