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Doubly Resolvable Nearly Kirkman Triple Systems


  • Contract grant sponsor: National Natural Science Foundation of China; contract grant numbers: 10971252 and 61272424; Contract grant sponsor: NSFC; contract grant number: 11271280.


Necessary conditions for existence of a resolvable group divisible design (GDD) with block size 3 and type math formula (a nearly Kirkman triple system, NKTS(v)), are math formula and math formula (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.