Group divisible designs with block size 4 and group sizes 4 and 7
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866914646599925760 |
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| author | Abel, R. Julian R. Britz, Thomas Bunjamin, Yudhistira A. Combe, Diana |
| author_facet | Abel, R. Julian R. Britz, Thomas Bunjamin, Yudhistira A. Combe, Diana |
| contents | In this paper, we consider the existence of group divisible designs (GDDs) with block size $4$ and group sizes $4$ and $7$. We show that there exists a 4-GDD of type $4^t 7^s$ for all but a finite specified set of feasible values for $(t, s)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_12823 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Group divisible designs with block size 4 and group sizes 4 and 7 Abel, R. Julian R. Britz, Thomas Bunjamin, Yudhistira A. Combe, Diana Combinatorics 05B05 In this paper, we consider the existence of group divisible designs (GDDs) with block size $4$ and group sizes $4$ and $7$. We show that there exists a 4-GDD of type $4^t 7^s$ for all but a finite specified set of feasible values for $(t, s)$. |
| title | Group divisible designs with block size 4 and group sizes 4 and 7 |
| topic | Combinatorics 05B05 |
| url | https://arxiv.org/abs/2309.12823 |