English

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

Combinatorics 2024-01-23 v4

Abstract

In this paper, we consider the existence of group divisible designs (GDDs) with block size 44 and group sizes 44 and 77. We show that there exists a 4-GDD of type 4t7s4^t 7^s for all but a finite specified set of feasible values for (t,s)(t, s).

Keywords

Cite

@article{arxiv.2309.12823,
  title  = {Group divisible designs with block size 4 and group sizes 4 and 7},
  author = {R. Julian R. Abel and Thomas Britz and Yudhistira A. Bunjamin and Diana Combe},
  journal= {arXiv preprint arXiv:2309.12823},
  year   = {2024}
}

Comments

arXiv admin note: substantial text overlap with arXiv:2109.11221