Nonsequenceable Steiner triple systems
Abstract
A partial Steiner triple system is is sequenceable if the points can be sequenced so that no proper segment can be partitioned into blocks. We show that, if 0 ≤ a ≤ (n-1)/3, then there exists a nonsequenceable PSTS(n) of size 13n2-a, for all n 1 6 except for n=7.
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