Constructions of Sarvate-Beam Group Divisible Designs
Combinatorics
2022-01-05 v1
Abstract
A balanced incomplete block design is a set system in which all pairs of distinct elements occur with a constant frequency. By contrast, a Sarvate-Beam design induces an interval of distinct frequencies on pairs. In this paper, we settle the existence of a Sarvate-Beam variant of group divisible designs of uniform type with block size three.
Cite
@article{arxiv.2201.00865,
title = {Constructions of Sarvate-Beam Group Divisible Designs},
author = {Peter J. Dukes and Joanna Niezen},
journal= {arXiv preprint arXiv:2201.00865},
year = {2022}
}