Necessary conditions for existence of a resolvable group divisible design (GDD) with block size 3 and type 2v/2 (a nearly Kirkman triple system, NKTS(v)), are v≥18 and v≡0 (mod 6). In this paper, we look at doubly resolvable NKTS(v)s; here we find that these necessary conditions are sufficient, except possibly for 64 values of v.
- Kirkman square
- doubly resolvable
- frame AMS subject classification: 05B07
- nearly Kirkman triple system
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics