Constructions of Sarvate-Beam Group Divisible Designs

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 des...

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Bibliographic Details
Published in:Graphs and combinatorics 2022-08, Vol.38 (4), Article 109
Main Authors: Dukes, Peter J., Niezen, Joanna
Format: Article
Language:English
Subjects:
Combinatorics
Engineering Design
Mathematics
Mathematics and Statistics
Original Paper
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Summary: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.
ISSN:0911-0119
1435-5914
DOI:10.1007/s00373-022-02511-0