English

Linked systems of symmetric group divisible designs

Combinatorics 2017-07-04 v2

Abstract

We introduce the concept of linked systems of symmetric group divisible designs. The connection with association schemes is established, and as a consequence we obtain an upper bound on the number of symmetric group divisible designs which are linked. Several examples of linked systems of symmetric group divisible designs are provided.

Keywords

Cite

@article{arxiv.1609.05255,
  title  = {Linked systems of symmetric group divisible designs},
  author = {Hadi Kharaghani and Sho Suda},
  journal= {arXiv preprint arXiv:1609.05255},
  year   = {2017}
}

Comments

27 pages

R2 v1 2026-06-22T15:52:39.487Z