• Journal of the Korean Mathematical Society
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• v.39 no.4
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• pp.621-651
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• 2002

An extended Steiner triple system of order v, denoted by ESTS(v), is said to be (f, k)-rotational if it admits an automorphism consisting of exactly f fixed elements and k cycles of length (equation omitted). In this paper, we obtain a necessary and sufficient condition for the existence of (f,2)-rotational extended Steiner triple systems with f=2 and f=3.

• Journal of the Korean Mathematical Society
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• v.45 no.5
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• pp.1243-1253
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• 2008

In this paper, we construct one-factorizations of given complete graphs of even order. These constructions partition the edges of the complete graph into one-factors and triples. Our new constructions of one-factors and triples can be applied to a recursive construction of Steiner triple systems for all possible orders ${\geq}$15.