Constructions of Sarvate-Beam Group Divisible Designs

Autor: Peter J. Dukes, Joanna Niezen
Rok vydání: 2022
Předmět:
DOI: 10.48550/arxiv.2201.00865
Popis: 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.
Databáze: OpenAIRE