We present an algorithmic construction of anti-Pasch Steiner triple systems for orders congruent to 9 mod 12. This is a Bose-type method derived from a particular type of 3-triangulations generated from non-sum-one-difference-zero sequences (NS1D0 sequences). We introduce NS1D0 sequences and describe their basic properties; in particular we develop an equivalence between the problem of finding NS1D0 sequences and a variant of the n-queens problem. This equivalence, and an algebraic characterization of the NS1D0 sequences that produce anti-Pasch Steiner triple systems, form the basis of our algorithm.
|Original language||English (US)|
|Number of pages||15|
|State||Published - Jan 1 2002|
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