Group divisible designs with block size 4 and group sizes 4 and 10 and some other 4-GDDs
In this paper, we consider the existence of group divisible designs (GDDs) with block size 4 and group sizes 4 and 10. We show that a 4-GDD of type 4<sup>t</sup>10<sup>s</sup> exists when the necessary conditions are satisfied, except possibly for a finite number of cases with 4t+10s≤178. We also give some new examples of 4-GDDs for which the number of points is 51, 54 or some value less than or equal to 50.
Authors
- Yudhistira A. Bunjamin (ORCID: https://orcid.org/0000-0001-6849-2986)
- Diana Combe (ORCID: https://orcid.org/0000-0002-1055-3894)
- R. Julian R. Abel (ORCID: https://orcid.org/0000-0002-3632-9612)
- Thomas Britz (ORCID: https://orcid.org/0000-0003-4891-3055)
- Changyuan Wang (ORCID: https://orcid.org/0009-0001-4505-4040)
Publication Details
- Journal
- Discrete Mathematics
- Published
- 2024-09-19
- DOI
- https://doi.org/10.1016/j.disc.2024.114254
- Primary Topic
- graph theory and CDMA systems
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- University of New South Wales
- Zaozhuang University