Doubly Resolvable Nearly Kirkman Triple Systems

作者：Abel, R. Julian R.^*; Chan, Nigel; Colbourn, Charles J.; Lamken, E. R.; Wang, Chengmin; Wang, Jinhua

来源：Journal of Combinatorial Designs, 2013, 21(8): 342-358.

DOI：10.1002/jcd.21342

• nearly Kirkman triple system
• doubly resolvable
• Kirkman square
• frame

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 v18 and v0 (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.

• 出版日期2013-8
• 单位南通大学; 江南大学