A completion of Lu's determination of the spectrum of large sets of disjoint Steiner Triple systems
Journal of Combinatorial Theory Series A
A survey of Kirkman triple systems and related designs
Discrete Mathematics
Some recent developments on BIBDs and related designs
Discrete Mathematics - Special issue on discrete mathematics in China
The fundamental construction for 3-designs
Proceedings of the first Malta conference on Graphs and combinatorics
Some new 2-resolvable Steiner quadruple systems
Designs, Codes and Cryptography
Large sets of oriented triple systems with resolvability
Discrete Mathematics - Special issue on Combinatorics and Application
On large sets of disjoint Kirkman triple systems
Discrete Mathematics
An improved product construction for large sets of Kirkman triple systems
Discrete Mathematics
Large sets of disjoint packings on 6k + 5 points
Journal of Combinatorial Theory Series A
A new existence proof for large sets of disjoint Steiner triple systems
Journal of Combinatorial Theory Series A
A construction for large sets of disjoint Kirkman triple systems
Designs, Codes and Cryptography
Another construction for large sets of Kirkman triple systems
Designs, Codes and Cryptography
New results on large sets of Kirkman triple systems
Designs, Codes and Cryptography
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The problem of the existence of large sets of Kirkman triple systems (LKTS) is one of the most celebrated open problems in design theory. Only a few sparsely distributed infinite classes have been determined, although LKTS have been investigated by many authors. The purpose of this paper is to survey constructions and results on LKTS and related designs. A systematic account of this work is provided. Most of the known constructions are unified and generalized; the approaches to LKTS are enriched; a couple of new constructions for related designs are also displayed. In particular, a new existence class of LKTS is demonstrated and some new results of overlarge sets of Kirkman triple systems are also produced.