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arXiv · 2201.00865

Constructions of Sarvate-Beam Group Divisible Designs

Peter J. Dukes·Joanna Niezen
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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.

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Peter J. Dukes, Joanna Niezen. 2022-01-03. Constructions of Sarvate-Beam Group Divisible Designs. https://arxiv.org/abs/2201.00865

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