Configurations and trades in Steiner triple systems

Forbes, A.D.; Grannell, M.J. and Griggs, T.S. (2004). Configurations and trades in Steiner triple systems. Australasian Journal of Combinatorics, 29 pp. 75–84.

URL: http://mcs.open.ac.uk/mjg47/Papers/Trades.pdf

Abstract

The main result of this paper is the determination of all pairwise nonisomorphic
trade sets of volume at most 10 which can appear in Steiner
triple systems. We also enumerate partial Steiner triple systems having
at most 10 blocks as well as configurations with no points of degree 1 and
tradeable configurations having at most 12 blocks.
AMS classification: 05B07

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