Group divisible designs with block size 4 and group sizes 4 and 7-Reference-Cited by-同舟云学术

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Group divisible designs with block size 4 and group sizes 4 and 7

Published:2024-03-28 Issue:6 Volume:32 Page:328-346
ISSN:1063-8539
Container-title:Journal of Combinatorial Designs
language:en
Short-container-title:J of Combinatorial Designs

Author:

Abel R. Julian R.¹^ORCID,Britz Thomas¹^ORCID,Bunjamin Yudhistira A.¹^ORCID,Combe Diana¹^ORCID

Affiliation:

1. School of Mathematics and Statistics UNSW Sydney Sydney New South Wales Australia

Abstract

AbstractIn this paper, we consider the existence of group divisible designs (GDDs) with block size and group sizes and . We show that there exists a ‐GDD of type for all but a finite specified set of feasible values for .

Publisher

Wiley

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/jcd.21932

Reference24 articles.

1. Group divisible designs with block size 4 where the group sizes are congruent to 2 mod 3

2. Group divisible designs with block size 4 and group sizes 2 and 5

3. Group divisible designs with block size 4 where the group sizes are congruent to 1 mod 3

4. Some new group divisible designs with block size 4 and two or three group sizes

5. Existence of 4-GDDs with at most 50 points and 4-GDDs of types 6 3 and 9 3

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